ELETROMAGNETISMO
Na figura abaixo, determine aproximadamente a intensidade do potencial elétrico situado em um ponto A, sabendo que a carga elétrica do corpo vale de 6.10-9 C,
considere a constante eletrostática igual a 9.109 N.m2/C2
![](http://sga.uniube.br/images/uploads/13690/potA.JPG)
100 V
135 V
400 V
190 V
300 V
A figura abaixo mostra a superfície quadrada que tem 3,2 mm de lado e está imersa em um campo elétrico uniforme de módulo E = 1800 N/C e
com linhas de campo fazendo um ângulo de 35° com a normal, como mostra a figura.
Tome esta normal como apontando "para fora", como se a superfície fosse a tampa de uma caixa. Determine aproximadamente o fluxo elétrico em N.m2/C
através da superfície e considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
![](http://sga.uniube.br/images/uploads/13690/fig 2 campo eletricoo.png)
-3,256
-8,36
-0,015
-0,789
-2,56
Três esferas com cargas de 2.10-6C, 7.10-6C e -4.10-6C são colocadas nos vértices de um triângulo equilátero, de 0,5 m de lado. Determinar aproximadamente a intensidade da força resultante sobre a esfera de 7.10-6C. Considere a constante eletrostática igual a 9.109 N.m²/c².
![](http://sga.uniube.br/images/uploads/13690/coulomb.png)
2,56 N
6,35 N
0,872 N
8,99 N
10 N
Em certa situação, temos uma placa não-condutora infinita que possui uma densidade superficial de cargas igual a +5,80 . 10-12C/m2.
Qual é aproximadamente o trabalho realizado pelo campo elétrico produzido pela placa se uma partícula de carga q = +1,6. 10-19C é deslocada
da superfície da placa para um ponto P situado a uma distância d = 3,56. 10-2m da superfície da placa?
considere a constante eletrostática igual a 8,99 × 109 N.m2/C2.
6.10-19 J
8.10-19 J
1,87.10-21 J
1,6.10-19 J
6.10-20 J
Determine o campo magnético em um ponto situado nas proximidades do centro de um solenóide longo de comprimento 15 cm e raio 2.50 cm e que possui 600 espiras enroladas de modo compacto. Sabendo que a corrente que passa nas espiras e igual a 8 A. Considere a permeabilidade igual a 4`pi.10-7`
0,0402 T
3 T
2 T
1,5 T
1,2 T
Determine aproximadamente intensidade de uma carga elétrica, sabendo que o campo elétrico a 50 cm de distância tem intensidade de 2N/C, considere a constante eletrostatica igual a 8, 99 · 109 Nm2/C2, sendo 1 pC = 10-12 C.
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASMAAAEICAYAAAAUS5LYAAAgAElEQVR4Ae2d74tdR/3HJ198asM2PqptkWweWGpISTdNSaKQQLMxzQMLlU2qDwIWdVMRKvaHiSKCbdmICAXzo7QgBd0UKy1iWtNCAt0Y8rMkaKjQbh6EPNw05i+4X95jP9e5s2fOPffX3HN7XwN37zkzc+Yz85o57zPzOeeeXdFoNBqOAAEIQGDIBP5vyPYxDwEIQMATQIwYCBCAQC0IIEa16AYqAQEIIEaMAQhAoBYEEKNadAOVgAAEECPGwEgSuHnzprty5cpI1p1KFxNAjIq5EFtjAseOHXMbN250zz33XI1rSdU6JYAYdUqM/EMjcPr0abdjxw63Z88et7i4OLR6YHgwBBCjwXCl1D4SuHbtmtu9e7fbu3eve+yxx9z09HQfS6eouhD4Ql0qQj0gkCKwcuVKt379eqflmcLt27fdiRMnUtmJH1ECzIxGtOPGqdqrVq1yzz777Dg1eSzbihiNZbfTaAjUjwBiVL8+oUYQGEsCiNFYdjuNhkD9CCBG9esTagSBsSSAGI1lt9NoCNSPAGJUvz6hRhAYSwKI0Vh2O42GQP0IIEb16xNqBIGxJIAYjWW302gI1I/ACl7IX79OoUbLCeiVIR999JG7ceOG27dvn7t165bPND8/7+6++2531113udWrVy8/kJiRIYAYjUxXjXdFDxw44C5dulQK4e9//3tpOon1JoAY1bt/qB0ExoYAPqOx6WoaCoF6E0CMov5555133IoVK1o+9uoKZT148GBLmvIqjgABCPRGgGVaAb+jR4+6H/7whz5FDlK92CsMGzZscBcvXnQTExPu0KFDy9LDvGxDAALVCPBytQJO999/v4+dnJxcJjS6q6NXnirtL3/5i1u3bl1BCURBAAKdEkCMCohdvXrVx27fvr0lVUKkdzBLiHTnRi/9IkAAAv0hgM+ogOOpU6d87De+8Y1mKkLURMEGBAZCADEqwPree+/52Iceesh/6/9zaUYkX5Gc2cyICqARBYEeCSBGEUD9Jwo93aulmJ7olfhs3brVPfnkk95ZHWXveVciF9+9q7Kv4wgQ+DwRwGcU9eb58+d9jJzUEgUL99xzj2329ZunhvuKk8JGmAAzo6jzPvjgAx9z5MgR12g03MzMjN9//fXXo5yjuVtl1kWe1ufMBsljNEfRYGqNGEVcL1y44GPs9v6LL77o99944w2nJRwBAhAYDAHEKOCqO2Z6mFFhy5Yt/lt+I/sPpm+++WaQezQ3NdvjUx8GozmKBlNrxCjgeu7cOb9n4mNJP/7xj/3mK6+8YlF9+8aB3TeUFDTiBHBgBx34j3/8w+9t27YtiHVu586d/u6anNr67Zr2+xVwYPeLJOWMOgFmRkEP2vNF9957bxD7381nnnnGb7z88svL0oiAAAR6J4AYfcZQMx7zF12/fn0ZWbu1f+LECXf69Oll6URAAAK9EeBX+855cfn617/eQnJubs49++yzzbjwmSN+rd/EwgYE+kYAMeobytEvSLPDRx991N89xJc1+v05ai1gmTZqPTag+uqxhu9+97sDKp1iIdCeAGLUntFY5HjqqafGop00sr4EEKP69k22mml5pifM9dZKAgSGRQAxGhb5mti15Zkc9vr/YwQIDIsAYjQs8jWxq+WZXpcS3jnspWqaZem9T1V/XNrtPzPQq13Cp9fvvPNOvx/+84Re2sGx+QkgRvmZ18aiLc9+97vf9aVOEgLdjbPntaoUumnTpirZWvLoHzru2bPHv29qaWnJ/9bupZdecnoG7O23327Jy84IEdC/tyaMH4GlpaXGxMREY//+/c3GLywsNJxzjenp6WZcJxs67siRIw2VrW+VpW0LFnf8+HGL6upb5U5OTi47dmpqqjE3N7csnojRIMBv00bowtHPqmp5pqXNT37yk74VGz6bpPeIa/kXvqL31Vdf9bY2btzYs009eBoHe/1LHM/+aBBgmTYa/dTXWtryTL+zC8UiNqLlkD7dBP3OL/zvKnoXlJZvU1NTpTar2NKL71SW/r9dHYJuAshH1i2rOrShDnVAjOrQC5nrYD/2lX8ndDTbT2Lke1G8Xiy3cuXKjmunf2Cg94iH/13FXucbClTHBX92wCOPPOJmZ2f9P9q0+g9TCD766CNfs7Vr13bbJI5zziFGYzgMtJwqesHawsKCp6H3OVl6N3fZzp4968ux/66iHXud7+bNm3siLtHR8k/h8uXLzXq+8MILPZXby8F6EZ94xf95uJcyx/FYfEbj2OsDbrN8Q/Lp6C2ZFuz1LF/96lctquNvLcs0W9u/f78bpvh0XHEOqESAmVElTGTSa1NsSVT2ChXzDcXLMb2YLhaokKqeN7Lyw/hw+6233vK77ZZD9n/uVJ4t3/Qth70+8pnJz7Nv3z5vU3GpNqkszXisbnq2ScdaCOMtzr7NhspXvjVr1njbls53KwHEqJXHWO+9++67vv3hydYpEM1aFPS/5uKgk1JBM5xuHnbcu3evP/63v/1tyz9HkJBIWEx49MyRftqi5ealS5e8mHzzm990H3/8sT/+l7/8pdPdxCeeeMLpOSX5t/70pz/5tPCPnpt64IEH3Pr1630+LWPlTwvfha7jFeK3g0qUdddQd/jkbNcyTv9pRn46/rFDSDnYHo0nEKjloAno+Rw9v2MfPbMTBnsGSenaLgp6fsiOX1xcbMmi55mUpueDZCt8/kgZQ/stB0Y78/PzDdXN7Ki8mZmZhuLjoOeelO/y5cvNJD1bpY/FqR7KEz+fpPorXmVbsLjQlspRvvjZKdmWnbCdxlDPWxGWE5BiEyDwuSQgkZidnW22zcQkFB4T0FhgdZyO1zH6SIAkfBLCUGDsQc4wzgQqfKBUlUCMml1RuIEDO5glsvn5IWA+oF27djUb9e9//9tvh//9xf4Jg/1rKstsDnfduZOvS3cG9R70xx9/vOU5KT3cGT87Zbf6tTQMgy2DH3744TCa7c8IIEYMhc8lgTNnzvh2hU97m/CsW7eu2Wa9OiUUJ0uQw13x4VPl8qXduHGjRYwkWnrmKQy3b98Od/22jj18+LAvM7S/LOMYR+DAHuPO/zw3/eTJk8t+jiLhiIVHovPggw96p3L4nJCczZ988knzzpnuwEnYbNYjdhIYOb/1YKjuupkDXQ9lKphTXA5r3YVT0KtaCAkChYs3IiEw4gRif1HKUW2+ITmc5RuyIL+POcDliJYj25zelkfflkflhH4j+aLkY1I9dLzSw/LDMtj+LwFeyJ8QaaIhAIG8BFim5eWNNQhAIEEAMUqAIRoCEMhLADHKyxtrEIBAggBilABDNAQgkJcAYpSXN9YgAIEEAcQoAYZoCEAgLwHEKC9vrEEAAgkCiFECDNEQgEBeAohRXt5YgwAEEgQQowQYoiEAgbwEEKO8vLEGAQgkCCBGCTBEQwACeQkgRnl5Yw0CEEgQQIwSYIiGAATyEkCM8vLGGgQgkCCAGCXAEA0BCOQlgBjl5Y01CEAgQQAxSoAhGgIQyEsAMcrLG2sQgECCAGKUAEM0BCCQlwBilJc31iAAgQQBxCgBhmgIQCAvAcQoL2+sQQACCQKIUQIM0RCAQF4CiFFe3liDAAQSBBCjBBiiIQCBvAQQo7y8sQYBCCQIIEYJMERDAAJ5CSBGeXljDQIQSBBAjBJgiIYABPISQIzy8sYaBCCQIIAYJcAQDQEI5CWAGOXljTUIQCBBADFKgCEaAhDISwAxyssbaxCAQIIAYpQAQzQEIJCXAGKUlzfWIACBBAHEKAGGaAhAIC8BxCgvb6xBAAIJAohRAgzREIBAXgKIUV7eWIMABBIEEKMEGKIhAIG8BBCjvLyxBgEIJAggRgkwREMAAnkJIEZ5eWMNAhBIEECMEmCIhgAE8hJAjPLyxhoEIJAggBglwBANAQjkJYAY5eWNNQhAIEEAMUqAIRoCEMhLADHKyxtrEIBAggBilABDNAQgkJcAYpSXN9YgAIEEAcQoAYZoCEAgLwHEKC9vrEEAAgkCiFECDNEQgEBeAohRXt5YgwAEEgQQowQYoiEAgbwEEKO8vLEGAQgkCCBGCTBEQwACeQkgRnl5Yw0CEEgQQIwSYIiGAATyEkCM8vLGGgQgkCCAGCXAEA0BCOQlgBjl5Y01CEAgQQAxSoAhGgIQyEsAMcrLG2sQgECCAGKUAEM0BCCQlwBilJc31iAAgQQBxCgBhmgIQCAvAcQoL2+sQQACCQKIUQIM0RCAQF4CiFFe3liDAAQSBBCjBBiiIQCBvAQQo7y8sQYBCCQIIEYJMERDAAJ5CSBGeXljDQIQSBBAjBJgiB5dAvv27XPHjh1r24ArV664HTt2uJs3b7bNS4bBE/jC4E1gAQL5CFy7ds0L0eHDh73R3bt3FxqXEG3dutWn3bhxw61ataowH5H5CDAzSrDWoNYVds2aNW7FihX+s2HDBh+nNELnBDQDOXjwoBNHYyq+EozTp093XmDBEatXr3anTp1yExMTbs+ePYUzpFCIlHfdunUFJRVH5WhDseUxiG0QlhFYXFxsTExM+M/CwoJPV9zU1FTDOde4fPnysmNGOUJt6uYzNzfXUbON35EjR/xxS0tLjdnZWW/b4joqsCSz+kh9qHbNz883c1q80rrpx5xtaFZ6TDbcmLSzo2bqJIsHsQo4fvy4j++oMDJ7AhJ1MZX4hEGCpHgT/TCt120THutL2+9WiIbRhl4ZjNLx+IxKZr933HFHS+rOnTsl3i1x7HRGQMunMMhXMyimWn5pGSbfkJZsZrvTpVlYX21bORY/yDaYjbH4HiXlzFVXXa0nJyf9skzLszqE/fv3+xmE6jaqYWZmpmXpm6sdWqZpdqRPp0vLuI7DakNcj8/jPsu0RK9qAEuQbBDre5hCMD097euTqO5IRGuZZD4X46ql7yBDuDQr8iF1artqG8Lxo3EU+q06tTku+RGjqKc12DR4bAANU4Ciqg1s14Sh0++qswwxlJhKDHRMrtlmKETatn21s1Nx6KQN5ls0oTUfpO0PrCNHvGDEKOpAu3qOgwhFTR/YrpY2EoCcJ6MJj/pT2xYsXvXpxGneSRt0IVP+MKgemhUS0gQQo4CN3S3RYGoXdLXTANNHV3oNcluCaBagoJNPZWngx4MzLF9lWT6VF1617aqaOnlkw+wqj+5W1U1IVS992s2IxFDslFc+MgXjXOV4Y2qCI5bajkO79Di/9qu2QW1UXtU7DNauMI7tVgKIUSuPpiiEz71ogJkPQCe6tpVu4qWBZyJg4qF9nVDKb87n+GRUmoREH7tK23ImrJYdH8Zp22xZXVW+TsD49nl8XO591UcnqDGSfbVdQqr22oxJgq02KE4ftVtcTNSr1Luq0FTNZzartiEcE3asvq0P4zEQ5hn3bcQoGgEaLBp4OqntamgnRjyQbOCFsx4Jg514VrQNRNu3bxvg4dVbcfHMTOVLsMJgtouuwKp7nYKER/W02Z/4qD1qq9oRB/FWnpBLnCe1L1s6vsqxyqO8OqZdqNqGVL/YhaOove1sj0s6YtRDT9sAC0XKhCwc4DrxNOjDoGNC0dIgNXEKl2k6RuIiQQuDBErHh3aULjt1E6Ow3lW2Qy5V8tcpTzsxivurTnUfdl34bVoPT5OdPHnSTU1NOf0eysKFCxfc9u3bmz+81G+ZLl686LZt22ZZ/Pf58+f9t37Qqd9pPf30035/YWHB/1bLMut3VLdu3XKbN2+2KP+tMqenp5t2FClbJ06c8PZbMo/Qjv1GbdeuXSNU6/9V9Ytf/OL/doKtDz/80O/xg9wASrSJGEVAOtmNT3wTnvXr1zeLef/99/32pk2bmnHauH79ut+X+Mg/KhE7dOhQSx7tnD171sdt3LixJe3TTz9t2dfOa6+95uN+9KMfLUsblYgzZ874qsbtHZX666lvPaH95z//uaXKunjMzMy0xLHTSgAxauVRec+u4GvXrm0ec+7cOb8dCo+Jzn333eeOHj3a/BW5ZjUKV69e9d96E8CBAwf8DEmiZsGO1xVVbxGwNwbol+6aXWnmpKCyn3vuOTc7O+u2bNlih4/ct2abk5OTLTO+UWvE888/72fD9k4lvalgcXHRjfJFIksfDHudOKr2i/xFRY5qOUnlw9HH7npZm1WG4uUjkV9J+3HQnSTlkfPX7jopj3wP5mOy42NfU1zWKOyPsr8o5Bv3bdh3YT62/0dghTazqB5GIAABCJQQYJlWAockCEAgHwHEKB9rLEEAAiUEEKMSOCRBAAL5CCBG+VhjCQIQKCGAGJXAIQkCEMhHADHKxxpLEIBACQHEqAQOSRCAQD4CiFE+1liCAARKCCBGJXBIggAE8hFAjPKxxhIEIFBCADEqgUMSBCCQjwBilI81liAAgRICiFEJHJIgAIF8BBCjfKyxBAEIlBBAjErgkAQBCOQjgBjlY40lCECghABiVAKHJAhAIB8BxCgfayxBAAIlBBCjEjgkQQAC+QggRvlYYwkCECghgBiVwCEJAhDIRwAxyscaSxCAQAkBxKgEDkkQgEA+AohRPtZYggAESgggRiVwSIIABPIRQIzyscYSBCBQQgAxKoFDEgQgkI8AYpSPNZYgAIESAohRCRySIACBfAQQo3yssQQBCJQQQIxK4JAEAQjkI4AY5WONJQhAoIQAYlQChyQIQCAfAcQoH2ssQQACJQQQoxI4JEEAAvkIIEb5WGMJAhAoIYAYlcAhCQIQyEcAMcrHGksQgEAJAcSoBA5JEIBAPgKIUT7WWIIABEoIIEYlcEiCAATyEUCM8rHGEgQgUEIAMSqBQxIEIJCPAGKUjzWWIACBEgKIUQkckiAAgXwEEKN8rLEEAQiUEECMSuCQBAEI5COAGOVjjSUIQKCEAGJUAockCEAgHwHEKB9rLEEAAiUEEKMSOCRBAAL5CCBG+VhjCQIQKCGAGJXAIQkCEMhHADHKxxpLEIBACQHEqAQOSRCAQD4CiFE+1liCAARKCCBGJXBIggAE8hFAjPKxxhIEIFBCADEqgUMSBCCQjwBilI81liAAgRICiFEJHJIgAIF8BBCjfKyxBAEIlBBAjErgkAQBCOQjgBjlY40lCECghABiVAKHJAhAIB8BxCgfayxBAAIlBBCjEjgkQQAC+QggRvlYYwkCECghgBiVwCEJAhDIRwAxyscaSxCAQAkBxKgEDkkQgEA+AohRPtZYggAESgh8oSSNJAgMnMDp06fdu+++61544YVCW++8847729/+5q5du+bT9+7d63bv3l2YdxCRw7Y/iDb1o0z1x/vvv+/eeustX9zq1avdT3/6U6fvrkODAIEhELh8+XJjenq64Zzz30VVmJmZ8elzc3ONhYWFRrhflL/fcaG9Ydjvd3v6VZ76Tv02NTXVOH78eGN+fr4xMTHhP0tLS12bcV0fyYEQ6JLAkSNHvABpIE9OTibFSGIlIQqDBr2OyRGGbT9HG7uxIWFWP4TCoz6VQEmYug0s07qeUw7+wJs3b7qNGze6P/zhD27Lli2DN5jJwuOPP+5+8IMfeGsvv/xy0urc3Jy7++67W9InJydb9ge500/7d955p9Pnk08+GWSVs5R93333uVOnTrlVq1Y17d1zzz1++4477mjGdbqBA/szYseOHfO+iBUrVjj77Nixwx09etRJFKqGTsuRz8Tsxd9f+tKX3OLiYl+ESHY2bNjgDh482LYpau++ffv8yaM66STSficcyoyEg7gs37p161oG/JUrV9zFixfdt7/97bLDStPk6zhw4IBbs2ZNC3f1teLD0C/7GhO3bt1yzzzzTFi835bNsN+VNw7qszBPXM84/6D31X9iE4bXX3/dTUxM+ItnGN/RdrdTqs/TcbOzs03fhE09FxcXmz4KrY2rhG7K0ZRX09uyTxXbqTxhO2QjXvbEx6n9aq+m4aqbgk3BFW987DhNy7Wcafex/PG3HRfHx/tWr6I6xHlT++bbUBlaIiqoXOs31SUVerGvcsU+Zme2zDelPNouClZHfdctiKvq3ssSTW0ae5+RnWipgSj/RBXQ3ZZjYmQnfr8Gmgb+/v37vahogEtc1I52YmSD3k5Wq4/FxyeDxE51b/excuLvKmLUixCYPTthisRMbRAb8SoKvdi3slMiI3vqE3GwsVYkWsqjOqq8OgXj2qsQqU1jL0Z21UqdpBqgVU7ibssZlBhJHFV3G9jt6qfBoLxqq4QrDlbPorQ4byf7qpc+ZUECKLu6i9NN0Ams4/VJncxKS51Qvdg3EYnFPWyH2q++MsEvqofVITxu2NvqD3FT3foR8Bl1tKgdncxyEOvZnar+GbVMz40oPPTQQ8saag50+T7kf8oV5KuSH0UO09hPUbUOKkP1fv7555PPwXz66aeFzy/1av+VV15xcrrv3LkzWd3z58+7tWvXul27dvk8b7/99rK8Fy5ccNu3b18WP6wI+e+2bt3qmR06dKgv1ehKjOQEVCeFTkA5RxVnD6f1pXYZCtm2bZu3cvLkyUJrb7zxho/ftGlTYbpF9qscK28Y39evX/dmUw+u2Z2sq1ev9q16uruUusMkETp8+LD761//2iJEGmdVg06aEydO+Ozf+973qh7m8/VqXw9M6gbEzMxM0q7qJ6HUHSrdOVXQmAtvFmhbjnud/J0GHSsHuJ2rxk7xcoTr5oSc43Lgm0212/LrW3UMg/I9+eST/qIVCpEuUjq269Dp9Cqc8mrqrqA4rcU1xe92Kl1UD1saqNxOP1a3onLDOPMHqHxNN20ar++yaXNYhra7LcfaKJ+CMVRdtF00XY/tVt2vskxrl6ddetW6aIyoLE3xrV/teSMbP+KpdH2U1z7GqKotW2aX+WyKyuqHfdlU+2xMFdkxX6Ol2TFh39sYqTqmrSx9qzzZUDB2apvGtsrTtvWr8ine8lvdYna29FR51i/6Vl+l3B1hnVLbHT9n9Oabb3oln5+fb95y1pX0V7/6lXv00UdbrmBdK+RnB2ppIL/WIIOWMZoC6yrx4osv+itxaE/trPLzg27Lueuuu9zU1JS/6v3+97/3yypdYZ5++mm3Z88e98EHH7jw6hPWbVS39ezQz3/+88Lqh88VaUbUa7CZ7be+9a2Oi+rFvmYPsj09PZ1cGqpCmnUojwXVU8dpqWbj7syZMz7ZlsqWt8p3PFPR7ffvfOc7fkzZDFizes0ef/azn7mXXnqp+QzY/fff70385z//aTGl+qZWChrPXYeUSqXiTRXLHHKpY+sab1dPtU1XCgVdoe1KoqtFldCvcmTLrsy6snZzRYzra1e/sitXuzzt0mObw97XjMRmXmWzk0HU02YV4QynyI5mhGGfqN+tzjYWxV2fXoOVG5+7tgKIbSifjolnRr3WI3V8x3fTBEgAdaLm7uBUI3qJt0FTBDwUhHaDql/lhG1RnTQYqopheGy8XUVI2uVplx7bHPa+RNxOwNx10TmiZYsJSpF9E8tYHKzfbcypDbrQ9RKMhc7bONhF15bIlm4XV43tHKFjB7aWI7/+9a/9Uk0OTXsy1Jxf4RQtdJDJwR07wsK8w9p+9dVXvemiabzaalPlojscYZ37VU5Y5vr16/1urpsCDz74oLeXcuZb3b72ta/ZZq2/zdEeLoNyVFjjXI5rjR2NoVTQXTQFc1xbPhuLGnN2zmzevNmSu/q2pV789LrOWznHdS7Hdyvfe+89b+vhhx/uymanB3UkRgIj77rW+xKkpaUl79ORXyeGLiHSnRA1VPnUWN0N6OTEku/ExK7T76q3n1U/hdBXEUL8yle+4nfjdXOYR9v9KicuN+f+vffeW2rO7kp9+ctfLs1Xl8Tbt28PpSr6CZGC/f4uVYl//vOf/ryIz51HHnnEHyLf0dmzZ/12LFipMlPxdoGJfT3nzp3zh8hvGQYTKfmYYpEK8/VzuyMxkphI8dWAMtWX4MgZLGeYnGSCLeeYbmG+9tprletvDuzPHs5sCl+V/arOvna3q21Am7MvVfluy5HISriLwocffuijbcZSlKefcXYFNNEJy7aLSNEVNMxXp2078Ypm7aqn4nVru+qFq0rbVKacxlU4aeYRi4Bs6HyxxwF+85vfFApWlbqEeWwWFp8X//rXv3y2+LEBE6mczzZVFiN1mMREkGMlDxutbWu4eeMVZ+p66dKlOPtQ97///e97+/aSqLgydjfmiSeeaCbpyicR0bMZFropx47VDDI+YbRv0+Tw+ZhwttjPk0h1UR/Zkia+C6O7qAqaEY9K0LM7Cpq1xnwV/4tf/MKPacvXj3bpwVGdJ0U/ig3LV31UL1uKh2natqWaLv5lgmArhrIfQGtFozoVCZ/NmMJzVfZNpFL1i+vbl/1OHFNyysmZFjq05ISTo01p5qyzO27xXSA5ypSvTkF1NgeeHMXmlNe3ORLDux2quzkDw7sP3ZSjsszBKltmO7yTZ05MY2a2dVzM1/LE38onZ6qOUZ2tn+J82pdt5dXHyrfjw/YWHVvHOBuLqrvxDfu23+NRdsS5jLE4mXNY/V4UdLyNjfB8i/NanniMhvns5kqRE9yOD/Nr27jpGONl4yHO26/9ju6mqVI6YW1gqyGCbxW2SllD4spbR1m+On2rw0yU1C61UQMlboPqLIFQnqKB1Ek5Kksnv/hVta362AAqqlvI1C4elj/+Tt2lU53UNsuvcsoGe2izjtvqr5Cv2qV9tTEW+17qr/NDZReNi7BcOz+Mb4qt9YH6IxXalaHj1M/KF7dV5SpeLOKgttj4UXp8xy/O34/9jsSoqkGDHZ8sEqOihlctty75JB7qxBwdVJc2U4/2BBgX7RmV5ajsM+pkTbhy5crC7PIltfM3FR5Yo0it9eXjmZ2dLf3xY42qTFUyEZB/UT7Vsh/FZqrKSJoZiBjZXRn91wcLuhsjJ9pjjz1mUSP5rbuBEqLP2080RrIzalTpKj+KrVF1a1mVFZo2DaJmutOkmZBe/aBneJ566il/d+jjjz8e+dnRIHhR5mgT0KMumiwaB+kAAACXSURBVBnp7le7x0BGu6WDq/1AZkaq7h//+Ef/LNIDDzzg9C5nhfgl3oNrFiVDIB8BLd0lRHosAiHqnvvAZkbdV4kjIQCBcSQwsJnROMKkzRCAQPcEEKPu2XEkBCDQRwKIUR9hUhQEINA9AcSoe3YcCQEI9JEAYtRHmBQFAQh0TwAx6p4dR0IAAn0kgBj1ESZFQQAC3RP4fy2TbrsBva/fAAAAAElFTkSuQmCC)
100 V
135 V
400 V
190 V
300 V
A figura abaixo mostra a superfície quadrada que tem 3,2 mm de lado e está imersa em um campo elétrico uniforme de módulo E = 1800 N/C e
com linhas de campo fazendo um ângulo de 35° com a normal, como mostra a figura.
Tome esta normal como apontando "para fora", como se a superfície fosse a tampa de uma caixa. Determine aproximadamente o fluxo elétrico em N.m2/C
através da superfície e considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
![](http://sga.uniube.br/images/uploads/13690/fig 2 campo eletricoo.png)
-3,256
-8,36
-0,015
-0,789
-2,56
Três esferas com cargas de 2.10-6C, 7.10-6C e -4.10-6C são colocadas nos vértices de um triângulo equilátero, de 0,5 m de lado. Determinar aproximadamente a intensidade da força resultante sobre a esfera de 7.10-6C. Considere a constante eletrostática igual a 9.109 N.m²/c².
![](http://sga.uniube.br/images/uploads/13690/coulomb.png)
2,56 N
6,35 N
0,872 N
8,99 N
10 N
Em certa situação, temos uma placa não-condutora infinita que possui uma densidade superficial de cargas igual a +5,80 . 10-12C/m2.
Qual é aproximadamente o trabalho realizado pelo campo elétrico produzido pela placa se uma partícula de carga q = +1,6. 10-19C é deslocada
da superfície da placa para um ponto P situado a uma distância d = 3,56. 10-2m da superfície da placa?
considere a constante eletrostática igual a 8,99 × 109 N.m2/C2.
6.10-19 J
8.10-19 J
1,87.10-21 J
1,6.10-19 J
6.10-20 J
Determine o campo magnético em um ponto situado nas proximidades do centro de um solenóide longo de comprimento 15 cm e raio 2.50 cm e que possui 600 espiras enroladas de modo compacto. Sabendo que a corrente que passa nas espiras e igual a 8 A. Considere a permeabilidade igual a 4`pi.10-7`
0,0402 T
3 T
2 T
1,5 T
1,2 T
Determine aproximadamente intensidade de uma carga elétrica, sabendo que o campo elétrico a 50 cm de distância tem intensidade de 2N/C, considere a constante eletrostatica igual a 8, 99 · 109 Nm2/C2, sendo 1 pC = 10-12 C.
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
![](data:image/png;base64,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)
-3,256
-8,36
-0,015
-0,789
-2,56
Três esferas com cargas de 2.10-6C, 7.10-6C e -4.10-6C são colocadas nos vértices de um triângulo equilátero, de 0,5 m de lado. Determinar aproximadamente a intensidade da força resultante sobre a esfera de 7.10-6C. Considere a constante eletrostática igual a 9.109 N.m²/c².
![](http://sga.uniube.br/images/uploads/13690/coulomb.png)
2,56 N
6,35 N
0,872 N
8,99 N
10 N
Em certa situação, temos uma placa não-condutora infinita que possui uma densidade superficial de cargas igual a +5,80 . 10-12C/m2.
Qual é aproximadamente o trabalho realizado pelo campo elétrico produzido pela placa se uma partícula de carga q = +1,6. 10-19C é deslocada
da superfície da placa para um ponto P situado a uma distância d = 3,56. 10-2m da superfície da placa?
considere a constante eletrostática igual a 8,99 × 109 N.m2/C2.
6.10-19 J
8.10-19 J
1,87.10-21 J
1,6.10-19 J
6.10-20 J
Determine o campo magnético em um ponto situado nas proximidades do centro de um solenóide longo de comprimento 15 cm e raio 2.50 cm e que possui 600 espiras enroladas de modo compacto. Sabendo que a corrente que passa nas espiras e igual a 8 A. Considere a permeabilidade igual a 4`pi.10-7`
0,0402 T
3 T
2 T
1,5 T
1,2 T
Determine aproximadamente intensidade de uma carga elétrica, sabendo que o campo elétrico a 50 cm de distância tem intensidade de 2N/C, considere a constante eletrostatica igual a 8, 99 · 109 Nm2/C2, sendo 1 pC = 10-12 C.
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASMAAAEICAYAAAAUS5LYAAAgAElEQVR4Ae2d74tdR/3HJ198asM2PqptkWweWGpISTdNSaKQQLMxzQMLlU2qDwIWdVMRKvaHiSKCbdmICAXzo7QgBd0UKy1iWtNCAt0Y8rMkaKjQbh6EPNw05i+4X95jP9e5s2fOPffX3HN7XwN37zkzc+Yz85o57zPzOeeeXdFoNBqOAAEIQGDIBP5vyPYxDwEIQMATQIwYCBCAQC0IIEa16AYqAQEIIEaMAQhAoBYEEKNadAOVgAAEECPGwEgSuHnzprty5cpI1p1KFxNAjIq5EFtjAseOHXMbN250zz33XI1rSdU6JYAYdUqM/EMjcPr0abdjxw63Z88et7i4OLR6YHgwBBCjwXCl1D4SuHbtmtu9e7fbu3eve+yxx9z09HQfS6eouhD4Ql0qQj0gkCKwcuVKt379eqflmcLt27fdiRMnUtmJH1ECzIxGtOPGqdqrVq1yzz777Dg1eSzbihiNZbfTaAjUjwBiVL8+oUYQGEsCiNFYdjuNhkD9CCBG9esTagSBsSSAGI1lt9NoCNSPAGJUvz6hRhAYSwKI0Vh2O42GQP0IIEb16xNqBIGxJIAYjWW302gI1I/ACl7IX79OoUbLCeiVIR999JG7ceOG27dvn7t165bPND8/7+6++2531113udWrVy8/kJiRIYAYjUxXjXdFDxw44C5dulQK4e9//3tpOon1JoAY1bt/qB0ExoYAPqOx6WoaCoF6E0CMov5555133IoVK1o+9uoKZT148GBLmvIqjgABCPRGgGVaAb+jR4+6H/7whz5FDlK92CsMGzZscBcvXnQTExPu0KFDy9LDvGxDAALVCPBytQJO999/v4+dnJxcJjS6q6NXnirtL3/5i1u3bl1BCURBAAKdEkCMCohdvXrVx27fvr0lVUKkdzBLiHTnRi/9IkAAAv0hgM+ogOOpU6d87De+8Y1mKkLURMEGBAZCADEqwPree+/52Iceesh/6/9zaUYkX5Gc2cyICqARBYEeCSBGEUD9Jwo93aulmJ7olfhs3brVPfnkk95ZHWXveVciF9+9q7Kv4wgQ+DwRwGcU9eb58+d9jJzUEgUL99xzj2329ZunhvuKk8JGmAAzo6jzPvjgAx9z5MgR12g03MzMjN9//fXXo5yjuVtl1kWe1ufMBsljNEfRYGqNGEVcL1y44GPs9v6LL77o99944w2nJRwBAhAYDAHEKOCqO2Z6mFFhy5Yt/lt+I/sPpm+++WaQezQ3NdvjUx8GozmKBlNrxCjgeu7cOb9n4mNJP/7xj/3mK6+8YlF9+8aB3TeUFDTiBHBgBx34j3/8w+9t27YtiHVu586d/u6anNr67Zr2+xVwYPeLJOWMOgFmRkEP2vNF9957bxD7381nnnnGb7z88svL0oiAAAR6J4AYfcZQMx7zF12/fn0ZWbu1f+LECXf69Oll6URAAAK9EeBX+855cfn617/eQnJubs49++yzzbjwmSN+rd/EwgYE+kYAMeobytEvSLPDRx991N89xJc1+v05ai1gmTZqPTag+uqxhu9+97sDKp1iIdCeAGLUntFY5HjqqafGop00sr4EEKP69k22mml5pifM9dZKAgSGRQAxGhb5mti15Zkc9vr/YwQIDIsAYjQs8jWxq+WZXpcS3jnspWqaZem9T1V/XNrtPzPQq13Cp9fvvPNOvx/+84Re2sGx+QkgRvmZ18aiLc9+97vf9aVOEgLdjbPntaoUumnTpirZWvLoHzru2bPHv29qaWnJ/9bupZdecnoG7O23327Jy84IEdC/tyaMH4GlpaXGxMREY//+/c3GLywsNJxzjenp6WZcJxs67siRIw2VrW+VpW0LFnf8+HGL6upb5U5OTi47dmpqqjE3N7csnojRIMBv00bowtHPqmp5pqXNT37yk74VGz6bpPeIa/kXvqL31Vdf9bY2btzYs009eBoHe/1LHM/+aBBgmTYa/dTXWtryTL+zC8UiNqLlkD7dBP3OL/zvKnoXlJZvU1NTpTar2NKL71SW/r9dHYJuAshH1i2rOrShDnVAjOrQC5nrYD/2lX8ndDTbT2Lke1G8Xiy3cuXKjmunf2Cg94iH/13FXucbClTHBX92wCOPPOJmZ2f9P9q0+g9TCD766CNfs7Vr13bbJI5zziFGYzgMtJwqesHawsKCp6H3OVl6N3fZzp4968ux/66iHXud7+bNm3siLtHR8k/h8uXLzXq+8MILPZXby8F6EZ94xf95uJcyx/FYfEbj2OsDbrN8Q/Lp6C2ZFuz1LF/96lctquNvLcs0W9u/f78bpvh0XHEOqESAmVElTGTSa1NsSVT2ChXzDcXLMb2YLhaokKqeN7Lyw/hw+6233vK77ZZD9n/uVJ4t3/Qth70+8pnJz7Nv3z5vU3GpNqkszXisbnq2ScdaCOMtzr7NhspXvjVr1njbls53KwHEqJXHWO+9++67vv3hydYpEM1aFPS/5uKgk1JBM5xuHnbcu3evP/63v/1tyz9HkJBIWEx49MyRftqi5ealS5e8mHzzm990H3/8sT/+l7/8pdPdxCeeeMLpOSX5t/70pz/5tPCPnpt64IEH3Pr1630+LWPlTwvfha7jFeK3g0qUdddQd/jkbNcyTv9pRn46/rFDSDnYHo0nEKjloAno+Rw9v2MfPbMTBnsGSenaLgp6fsiOX1xcbMmi55mUpueDZCt8/kgZQ/stB0Y78/PzDdXN7Ki8mZmZhuLjoOeelO/y5cvNJD1bpY/FqR7KEz+fpPorXmVbsLjQlspRvvjZKdmWnbCdxlDPWxGWE5BiEyDwuSQgkZidnW22zcQkFB4T0FhgdZyO1zH6SIAkfBLCUGDsQc4wzgQqfKBUlUCMml1RuIEDO5glsvn5IWA+oF27djUb9e9//9tvh//9xf4Jg/1rKstsDnfduZOvS3cG9R70xx9/vOU5KT3cGT87Zbf6tTQMgy2DH3744TCa7c8IIEYMhc8lgTNnzvh2hU97m/CsW7eu2Wa9OiUUJ0uQw13x4VPl8qXduHGjRYwkWnrmKQy3b98Od/22jj18+LAvM7S/LOMYR+DAHuPO/zw3/eTJk8t+jiLhiIVHovPggw96p3L4nJCczZ988knzzpnuwEnYbNYjdhIYOb/1YKjuupkDXQ9lKphTXA5r3YVT0KtaCAkChYs3IiEw4gRif1HKUW2+ITmc5RuyIL+POcDliJYj25zelkfflkflhH4j+aLkY1I9dLzSw/LDMtj+LwFeyJ8QaaIhAIG8BFim5eWNNQhAIEEAMUqAIRoCEMhLADHKyxtrEIBAggBilABDNAQgkJcAYpSXN9YgAIEEAcQoAYZoCEAgLwHEKC9vrEEAAgkCiFECDNEQgEBeAohRXt5YgwAEEgQQowQYoiEAgbwEEKO8vLEGAQgkCCBGCTBEQwACeQkgRnl5Yw0CEEgQQIwSYIiGAATyEkCM8vLGGgQgkCCAGCXAEA0BCOQlgBjl5Y01CEAgQQAxSoAhGgIQyEsAMcrLG2sQgECCAGKUAEM0BCCQlwBilJc31iAAgQQBxCgBhmgIQCAvAcQoL2+sQQACCQKIUQIM0RCAQF4CiFFe3liDAAQSBBCjBBiiIQCBvAQQo7y8sQYBCCQIIEYJMERDAAJ5CSBGeXljDQIQSBBAjBJgiIYABPISQIzy8sYaBCCQIIAYJcAQDQEI5CWAGOXljTUIQCBBADFKgCEaAhDISwAxyssbaxCAQIIAYpQAQzQEIJCXAGKUlzfWIACBBAHEKAGGaAhAIC8BxCgvb6xBAAIJAohRAgzREIBAXgKIUV7eWIMABBIEEKMEGKIhAIG8BBCjvLyxBgEIJAggRgkwREMAAnkJIEZ5eWMNAhBIEECMEmCIhgAE8hJAjPLyxhoEIJAggBglwBANAQjkJYAY5eWNNQhAIEEAMUqAIRoCEMhLADHKyxtrEIBAggBilABDNAQgkJcAYpSXN9YgAIEEAcQoAYZoCEAgLwHEKC9vrEEAAgkCiFECDNEQgEBeAohRXt5YgwAEEgQQowQYoiEAgbwEEKO8vLEGAQgkCCBGCTBEQwACeQkgRnl5Yw0CEEgQQIwSYIiGAATyEkCM8vLGGgQgkCCAGCXAEA0BCOQlgBjl5Y01CEAgQQAxSoAhGgIQyEsAMcrLG2sQgECCAGKUAEM0BCCQlwBilJc31iAAgQQBxCgBhmgIQCAvAcQoL2+sQQACCQKIUQIM0RCAQF4CiFFe3liDAAQSBBCjBBiiIQCBvAQQo7y8sQYBCCQIIEYJMERDAAJ5CSBGeXljDQIQSBBAjBJgiB5dAvv27XPHjh1r24ArV664HTt2uJs3b7bNS4bBE/jC4E1gAQL5CFy7ds0L0eHDh73R3bt3FxqXEG3dutWn3bhxw61ataowH5H5CDAzSrDWoNYVds2aNW7FihX+s2HDBh+nNELnBDQDOXjwoBNHYyq+EozTp093XmDBEatXr3anTp1yExMTbs+ePYUzpFCIlHfdunUFJRVH5WhDseUxiG0QlhFYXFxsTExM+M/CwoJPV9zU1FTDOde4fPnysmNGOUJt6uYzNzfXUbON35EjR/xxS0tLjdnZWW/b4joqsCSz+kh9qHbNz883c1q80rrpx5xtaFZ6TDbcmLSzo2bqJIsHsQo4fvy4j++oMDJ7AhJ1MZX4hEGCpHgT/TCt120THutL2+9WiIbRhl4ZjNLx+IxKZr933HFHS+rOnTsl3i1x7HRGQMunMMhXMyimWn5pGSbfkJZsZrvTpVlYX21bORY/yDaYjbH4HiXlzFVXXa0nJyf9skzLszqE/fv3+xmE6jaqYWZmpmXpm6sdWqZpdqRPp0vLuI7DakNcj8/jPsu0RK9qAEuQbBDre5hCMD097euTqO5IRGuZZD4X46ql7yBDuDQr8iF1artqG8Lxo3EU+q06tTku+RGjqKc12DR4bAANU4Ciqg1s14Sh0++qswwxlJhKDHRMrtlmKETatn21s1Nx6KQN5ls0oTUfpO0PrCNHvGDEKOpAu3qOgwhFTR/YrpY2EoCcJ6MJj/pT2xYsXvXpxGneSRt0IVP+MKgemhUS0gQQo4CN3S3RYGoXdLXTANNHV3oNcluCaBagoJNPZWngx4MzLF9lWT6VF1617aqaOnlkw+wqj+5W1U1IVS992s2IxFDslFc+MgXjXOV4Y2qCI5bajkO79Di/9qu2QW1UXtU7DNauMI7tVgKIUSuPpiiEz71ogJkPQCe6tpVu4qWBZyJg4qF9nVDKb87n+GRUmoREH7tK23ImrJYdH8Zp22xZXVW+TsD49nl8XO591UcnqDGSfbVdQqr22oxJgq02KE4ftVtcTNSr1Luq0FTNZzartiEcE3asvq0P4zEQ5hn3bcQoGgEaLBp4OqntamgnRjyQbOCFsx4Jg514VrQNRNu3bxvg4dVbcfHMTOVLsMJgtouuwKp7nYKER/W02Z/4qD1qq9oRB/FWnpBLnCe1L1s6vsqxyqO8OqZdqNqGVL/YhaOove1sj0s6YtRDT9sAC0XKhCwc4DrxNOjDoGNC0dIgNXEKl2k6RuIiQQuDBErHh3aULjt1E6Ow3lW2Qy5V8tcpTzsxivurTnUfdl34bVoPT5OdPHnSTU1NOf0eysKFCxfc9u3bmz+81G+ZLl686LZt22ZZ/Pf58+f9t37Qqd9pPf30035/YWHB/1bLMut3VLdu3XKbN2+2KP+tMqenp5t2FClbJ06c8PZbMo/Qjv1GbdeuXSNU6/9V9Ytf/OL/doKtDz/80O/xg9wASrSJGEVAOtmNT3wTnvXr1zeLef/99/32pk2bmnHauH79ut+X+Mg/KhE7dOhQSx7tnD171sdt3LixJe3TTz9t2dfOa6+95uN+9KMfLUsblYgzZ874qsbtHZX666lvPaH95z//uaXKunjMzMy0xLHTSgAxauVRec+u4GvXrm0ec+7cOb8dCo+Jzn333eeOHj3a/BW5ZjUKV69e9d96E8CBAwf8DEmiZsGO1xVVbxGwNwbol+6aXWnmpKCyn3vuOTc7O+u2bNlih4/ct2abk5OTLTO+UWvE888/72fD9k4lvalgcXHRjfJFIksfDHudOKr2i/xFRY5qOUnlw9HH7npZm1WG4uUjkV9J+3HQnSTlkfPX7jopj3wP5mOy42NfU1zWKOyPsr8o5Bv3bdh3YT62/0dghTazqB5GIAABCJQQYJlWAockCEAgHwHEKB9rLEEAAiUEEKMSOCRBAAL5CCBG+VhjCQIQKCGAGJXAIQkCEMhHADHKxxpLEIBACQHEqAQOSRCAQD4CiFE+1liCAARKCCBGJXBIggAE8hFAjPKxxhIEIFBCADEqgUMSBCCQjwBilI81liAAgRICiFEJHJIgAIF8BBCjfKyxBAEIlBBAjErgkAQBCOQjgBjlY40lCECghABiVAKHJAhAIB8BxCgfayxBAAIlBBCjEjgkQQAC+QggRvlYYwkCECghgBiVwCEJAhDIRwAxyscaSxCAQAkBxKgEDkkQgEA+AohRPtZYggAESgggRiVwSIIABPIRQIzyscYSBCBQQgAxKoFDEgQgkI8AYpSPNZYgAIESAohRCRySIACBfAQQo3yssQQBCJQQQIxK4JAEAQjkI4AY5WONJQhAoIQAYlQChyQIQCAfAcQoH2ssQQACJQQQoxI4JEEAAvkIIEb5WGMJAhAoIYAYlcAhCQIQyEcAMcrHGksQgEAJAcSoBA5JEIBAPgKIUT7WWIIABEoIIEYlcEiCAATyEUCM8rHGEgQgUEIAMSqBQxIEIJCPAGKUjzWWIACBEgKIUQkckiAAgXwEEKN8rLEEAQiUEECMSuCQBAEI5COAGOVjjSUIQKCEAGJUAockCEAgHwHEKB9rLEEAAiUEEKMSOCRBAAL5CCBG+VhjCQIQKCGAGJXAIQkCEMhHADHKxxpLEIBACQHEqAQOSRCAQD4CiFE+1liCAARKCCBGJXBIggAE8hFAjPKxxhIEIFBCADEqgUMSBCCQjwBilI81liAAgRICiFEJHJIgAIF8BBCjfKyxBAEIlBBAjErgkAQBCOQjgBjlY40lCECghABiVAKHJAhAIB8BxCgfayxBAAIlBBCjEjgkQQAC+QggRvlYYwkCECghgBiVwCEJAhDIRwAxyscaSxCAQAkBxKgEDkkQgEA+AohRPtZYggAESgh8oSSNJAgMnMDp06fdu+++61544YVCW++8847729/+5q5du+bT9+7d63bv3l2YdxCRw7Y/iDb1o0z1x/vvv+/eeustX9zq1avdT3/6U6fvrkODAIEhELh8+XJjenq64Zzz30VVmJmZ8elzc3ONhYWFRrhflL/fcaG9Ydjvd3v6VZ76Tv02NTXVOH78eGN+fr4xMTHhP0tLS12bcV0fyYEQ6JLAkSNHvABpIE9OTibFSGIlIQqDBr2OyRGGbT9HG7uxIWFWP4TCoz6VQEmYug0s07qeUw7+wJs3b7qNGze6P/zhD27Lli2DN5jJwuOPP+5+8IMfeGsvv/xy0urc3Jy7++67W9InJydb9ge500/7d955p9Pnk08+GWSVs5R93333uVOnTrlVq1Y17d1zzz1++4477mjGdbqBA/szYseOHfO+iBUrVjj77Nixwx09etRJFKqGTsuRz8Tsxd9f+tKX3OLiYl+ESHY2bNjgDh482LYpau++ffv8yaM66STSficcyoyEg7gs37p161oG/JUrV9zFixfdt7/97bLDStPk6zhw4IBbs2ZNC3f1teLD0C/7GhO3bt1yzzzzTFi835bNsN+VNw7qszBPXM84/6D31X9iE4bXX3/dTUxM+ItnGN/RdrdTqs/TcbOzs03fhE09FxcXmz4KrY2rhG7K0ZRX09uyTxXbqTxhO2QjXvbEx6n9aq+m4aqbgk3BFW987DhNy7Wcafex/PG3HRfHx/tWr6I6xHlT++bbUBlaIiqoXOs31SUVerGvcsU+Zme2zDelPNouClZHfdctiKvq3ssSTW0ae5+RnWipgSj/RBXQ3ZZjYmQnfr8Gmgb+/v37vahogEtc1I52YmSD3k5Wq4/FxyeDxE51b/excuLvKmLUixCYPTthisRMbRAb8SoKvdi3slMiI3vqE3GwsVYkWsqjOqq8OgXj2qsQqU1jL0Z21UqdpBqgVU7ibssZlBhJHFV3G9jt6qfBoLxqq4QrDlbPorQ4byf7qpc+ZUECKLu6i9NN0Ams4/VJncxKS51Qvdg3EYnFPWyH2q++MsEvqofVITxu2NvqD3FT3foR8Bl1tKgdncxyEOvZnar+GbVMz40oPPTQQ8saag50+T7kf8oV5KuSH0UO09hPUbUOKkP1fv7555PPwXz66aeFzy/1av+VV15xcrrv3LkzWd3z58+7tWvXul27dvk8b7/99rK8Fy5ccNu3b18WP6wI+e+2bt3qmR06dKgv1ehKjOQEVCeFTkA5RxVnD6f1pXYZCtm2bZu3cvLkyUJrb7zxho/ftGlTYbpF9qscK28Y39evX/dmUw+u2Z2sq1ev9q16uruUusMkETp8+LD761//2iJEGmdVg06aEydO+Ozf+973qh7m8/VqXw9M6gbEzMxM0q7qJ6HUHSrdOVXQmAtvFmhbjnud/J0GHSsHuJ2rxk7xcoTr5oSc43Lgm0212/LrW3UMg/I9+eST/qIVCpEuUjq269Dp9Cqc8mrqrqA4rcU1xe92Kl1UD1saqNxOP1a3onLDOPMHqHxNN20ar++yaXNYhra7LcfaKJ+CMVRdtF00XY/tVt2vskxrl6ddetW6aIyoLE3xrV/teSMbP+KpdH2U1z7GqKotW2aX+WyKyuqHfdlU+2xMFdkxX6Ol2TFh39sYqTqmrSx9qzzZUDB2apvGtsrTtvWr8ine8lvdYna29FR51i/6Vl+l3B1hnVLbHT9n9Oabb3oln5+fb95y1pX0V7/6lXv00UdbrmBdK+RnB2ppIL/WIIOWMZoC6yrx4osv+itxaE/trPLzg27Lueuuu9zU1JS/6v3+97/3yypdYZ5++mm3Z88e98EHH7jw6hPWbVS39ezQz3/+88Lqh88VaUbUa7CZ7be+9a2Oi+rFvmYPsj09PZ1cGqpCmnUojwXVU8dpqWbj7syZMz7ZlsqWt8p3PFPR7ffvfOc7fkzZDFizes0ef/azn7mXXnqp+QzY/fff70385z//aTGl+qZWChrPXYeUSqXiTRXLHHKpY+sab1dPtU1XCgVdoe1KoqtFldCvcmTLrsy6snZzRYzra1e/sitXuzzt0mObw97XjMRmXmWzk0HU02YV4QynyI5mhGGfqN+tzjYWxV2fXoOVG5+7tgKIbSifjolnRr3WI3V8x3fTBEgAdaLm7uBUI3qJt0FTBDwUhHaDql/lhG1RnTQYqopheGy8XUVI2uVplx7bHPa+RNxOwNx10TmiZYsJSpF9E8tYHKzfbcypDbrQ9RKMhc7bONhF15bIlm4XV43tHKFjB7aWI7/+9a/9Uk0OTXsy1Jxf4RQtdJDJwR07wsK8w9p+9dVXvemiabzaalPlojscYZ37VU5Y5vr16/1urpsCDz74oLeXcuZb3b72ta/ZZq2/zdEeLoNyVFjjXI5rjR2NoVTQXTQFc1xbPhuLGnN2zmzevNmSu/q2pV789LrOWznHdS7Hdyvfe+89b+vhhx/uymanB3UkRgIj77rW+xKkpaUl79ORXyeGLiHSnRA1VPnUWN0N6OTEku/ExK7T76q3n1U/hdBXEUL8yle+4nfjdXOYR9v9KicuN+f+vffeW2rO7kp9+ctfLs1Xl8Tbt28PpSr6CZGC/f4uVYl//vOf/ryIz51HHnnEHyLf0dmzZ/12LFipMlPxdoGJfT3nzp3zh8hvGQYTKfmYYpEK8/VzuyMxkphI8dWAMtWX4MgZLGeYnGSCLeeYbmG+9tprletvDuzPHs5sCl+V/arOvna3q21Am7MvVfluy5HISriLwocffuijbcZSlKefcXYFNNEJy7aLSNEVNMxXp2078Ypm7aqn4nVru+qFq0rbVKacxlU4aeYRi4Bs6HyxxwF+85vfFApWlbqEeWwWFp8X//rXv3y2+LEBE6mczzZVFiN1mMREkGMlDxutbWu4eeMVZ+p66dKlOPtQ97///e97+/aSqLgydjfmiSeeaCbpyicR0bMZFropx47VDDI+YbRv0+Tw+ZhwttjPk0h1UR/Zkia+C6O7qAqaEY9K0LM7Cpq1xnwV/4tf/MKPacvXj3bpwVGdJ0U/ig3LV31UL1uKh2natqWaLv5lgmArhrIfQGtFozoVCZ/NmMJzVfZNpFL1i+vbl/1OHFNyysmZFjq05ISTo01p5qyzO27xXSA5ypSvTkF1NgeeHMXmlNe3ORLDux2quzkDw7sP3ZSjsszBKltmO7yTZ05MY2a2dVzM1/LE38onZ6qOUZ2tn+J82pdt5dXHyrfjw/YWHVvHOBuLqrvxDfu23+NRdsS5jLE4mXNY/V4UdLyNjfB8i/NanniMhvns5kqRE9yOD/Nr27jpGONl4yHO26/9ju6mqVI6YW1gqyGCbxW2SllD4spbR1m+On2rw0yU1C61UQMlboPqLIFQnqKB1Ek5Kksnv/hVta362AAqqlvI1C4elj/+Tt2lU53UNsuvcsoGe2izjtvqr5Cv2qV9tTEW+17qr/NDZReNi7BcOz+Mb4qt9YH6IxXalaHj1M/KF7dV5SpeLOKgttj4UXp8xy/O34/9jsSoqkGDHZ8sEqOihlctty75JB7qxBwdVJc2U4/2BBgX7RmV5ajsM+pkTbhy5crC7PIltfM3FR5Yo0it9eXjmZ2dLf3xY42qTFUyEZB/UT7Vsh/FZqrKSJoZiBjZXRn91wcLuhsjJ9pjjz1mUSP5rbuBEqLP2080RrIzalTpKj+KrVF1a1mVFZo2DaJmutOkmZBe/aBneJ566il/d+jjjz8e+dnRIHhR5mgT0KMumiwaB+kAAACXSURBVBnp7le7x0BGu6WDq/1AZkaq7h//+Ef/LNIDDzzg9C5nhfgl3oNrFiVDIB8BLd0lRHosAiHqnvvAZkbdV4kjIQCBcSQwsJnROMKkzRCAQPcEEKPu2XEkBCDQRwKIUR9hUhQEINA9AcSoe3YcCQEI9JEAYtRHmBQFAQh0TwAx6p4dR0IAAn0kgBj1ESZFQQAC3RP4fy2TbrsBva/fAAAAAElFTkSuQmCC)
![](http://sga.uniube.br/images/uploads/13690/coulomb.png)
2,56 N
6,35 N
0,872 N
8,99 N
10 N
Em certa situação, temos uma placa não-condutora infinita que possui uma densidade superficial de cargas igual a +5,80 . 10-12C/m2.
Qual é aproximadamente o trabalho realizado pelo campo elétrico produzido pela placa se uma partícula de carga q = +1,6. 10-19C é deslocada
da superfície da placa para um ponto P situado a uma distância d = 3,56. 10-2m da superfície da placa?
considere a constante eletrostática igual a 8,99 × 109 N.m2/C2.
6.10-19 J
8.10-19 J
1,87.10-21 J
1,6.10-19 J
6.10-20 J
Determine o campo magnético em um ponto situado nas proximidades do centro de um solenóide longo de comprimento 15 cm e raio 2.50 cm e que possui 600 espiras enroladas de modo compacto. Sabendo que a corrente que passa nas espiras e igual a 8 A. Considere a permeabilidade igual a 4`pi.10-7`
0,0402 T
3 T
2 T
1,5 T
1,2 T
Determine aproximadamente intensidade de uma carga elétrica, sabendo que o campo elétrico a 50 cm de distância tem intensidade de 2N/C, considere a constante eletrostatica igual a 8, 99 · 109 Nm2/C2, sendo 1 pC = 10-12 C.
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
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)
6.10-19 J
8.10-19 J
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1,6.10-19 J
6.10-20 J
Determine o campo magnético em um ponto situado nas proximidades do centro de um solenóide longo de comprimento 15 cm e raio 2.50 cm e que possui 600 espiras enroladas de modo compacto. Sabendo que a corrente que passa nas espiras e igual a 8 A. Considere a permeabilidade igual a 4`pi.10-7`
0,0402 T
3 T
2 T
1,5 T
1,2 T
Determine aproximadamente intensidade de uma carga elétrica, sabendo que o campo elétrico a 50 cm de distância tem intensidade de 2N/C, considere a constante eletrostatica igual a 8, 99 · 109 Nm2/C2, sendo 1 pC = 10-12 C.
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
![](data:image/png;base64,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)
0,0402 T
3 T
2 T
1,5 T
1,2 T
Determine aproximadamente intensidade de uma carga elétrica, sabendo que o campo elétrico a 50 cm de distância tem intensidade de 2N/C, considere a constante eletrostatica igual a 8, 99 · 109 Nm2/C2, sendo 1 pC = 10-12 C.
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
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R4bAANU4Ciqg1s14Sh0++qswwxlJhKDHRMrtlmKETatn21s1Nx6KQN5ls0oTUfpO0PrCNHvGDEKOpAu3qOgwhFTR/YrpY2EoCcJ6MJj/pT2xYsXvXpxGneSRt0IVP+MKgemhUS0gQQo4CN3S3RYGoXdLXTANNHV3oNcluCaBagoJNPZWngx4MzLF9lWT6VF1617aqaOnlkw+wqj+5W1U1IVS992s2IxFDslFc+MgXjXOV4Y2qCI5bajkO79Di/9qu2QW1UXtU7DNauMI7tVgKIUSuPpiiEz71ogJkPQCe6tpVu4qWBZyJg4qF9nVDKb87n+GRUmoREH7tK23ImrJYdH8Zp22xZXVW+TsD49nl8XO591UcnqDGSfbVdQqr22oxJgq02KE4ftVtcTNSr1Luq0FTNZzartiEcE3asvq0P4zEQ5hn3bcQoGgEaLBp4OqntamgnRjyQbOCFsx4Jg514VrQNRNu3bxvg4dVbcfHMTOVLsMJgtouuwKp7nYKER/W02Z/4qD1qq9oRB/FWnpBLnCe1L1s6vsqxyqO8OqZdqNqGVL/YhaOove1sj0s6YtRDT9sAC0XKhCwc4DrxNOjDoGNC0dIgNXEKl2k6RuIiQQuDBErHh3aULjt1E6Ow3lW2Qy5V8tcpTzsxivurTnUfdl34bVoPT5OdPHnSTU1NOf0eysKFCxfc9u3bmz+81G+ZLl686LZt22ZZ/Pf58+f9t37Qqd9pPf30035/YWHB/1bLMut3VLdu3XKbN2+2KP+tMqenp5t2FClbJ06c8PZbMo/Qjv1GbdeuXSNU6/9V9Ytf/OL/doKtDz/80O/xg9wASrSJGEVAOtmNT3wTnvXr1zeLef/99/32pk2bmnHauH79ut+X+Mg/KhE7dOhQSx7tnD171sdt3LixJe3TTz9t2dfOa6+95uN+9KMfLUsblYgzZ874qsbtHZX666lvPaH95z//uaXKunjMzMy0xLHTSgAxauVRec+u4GvXrm0ec+7cOb8dCo+Jzn333eeOHj3a/BW5ZjUKV69e9d96E8CBAwf8DEmiZsGO1xVVbxGwNwbol+6aXWnmpKCyn3vuOTc7O+u2bNlih4/ct2abk5OTLTO+UWvE888/72fD9k4lvalgcXHRjfJFIksfDHudOKr2i/xFRY5qOUnlw9HH7npZm1WG4uUjkV9J+3HQnSTlkfPX7jopj3wP5mOy42NfU1zWKOyPsr8o5Bv3bdh3YT62/0dghTazqB5GIAABCJQQYJlWAockCEAgHwHEKB9rLEEAAiUEEKMSOCRBAAL5CCBG+VhjCQIQKCGAGJXAIQkCEMhHADHKxxpLEIBACQHEqAQOSRCAQD4CiFE+1liCAARKCCBGJXBIggAE8hFAjPKxxhIEIFBCADEqgUMSBCCQjwBilI81liAAgRICiFEJHJIgAIF8BBCjfKyxBAEIlBBAjErgkAQBCOQjgBjlY40lCECghABiVAKHJAhAIB8BxCgfayxBAAIlBBCjEjgkQQAC+QggRvlYYwkCECghgBiVwCEJAhDIRwAxyscaSxCAQAkBxKgEDkkQgEA+AohRPtZYggAESgggRiVwSIIABPIRQIzyscYSBCBQQgAxKoFDEgQgkI8AYpSPNZYgAIESAohRCRySIACBfAQQo3yssQQBCJQQQIxK4JAEAQjkI4AY5WONJQhAoIQAYlQChyQIQCAfAcQoH2ssQQACJQQQoxI4JEEAAvkIIEb5WGMJAhAoIYAYlcAhCQIQyEcAMcrHGksQgEAJAcSoBA5JEIBAPgKIUT7WWIIABEoIIEYlcEiCAATyEUCM8rHGEgQgUEIAMSqBQxIEIJCPAGKUjzWWIACBEgKIUQkckiAAgXwEEKN8rLEEAQiUEECMSuCQBAEI5COAGOVjjSUIQKCEAGJUAockCEAgHwHEKB9rLEEAAiUEEKMSOCRBAAL5CCBG+VhjCQIQKCGAGJXAIQkCEMhHADHKxxpLEIBACQHEqAQOSRCAQD4CiFE+1liCAARKCCBGJXBIggAE8hFAjPKxxhIEIFBCADEqgUMSBCCQjwBilI81liAAgRICiFEJHJIgAIF8BBCjfKyxBAEIlBBAjErgkAQBCOQjgBjlY40lCECghABiVAKHJAhAIB8BxCgfayxBAAIlBBCjEjgkQQAC+QggRvlYYwkCECghgBiVwCEJAhDIRwAxyscaSxCAQAkBxKgEDkkQgEA+AohRPtZYggAESgh8oSSNJAgMnMDp06fdu+++61544YVCW++8847729/+5q5du+bT9+7d63bv3l2YdxCRw7Y/iDb1o0z1x/vvv+/eeustX9zq1avdT3/6U6fvrkODAIEhELh8+XJjenq64Zzz30VVmJmZ8elzc3ONhYWFRrhflL/fcaG9Ydjvd3v6VZ76Tv02NTXVOH78eGN+fr4xMTHhP0tLS12bcV0fyYEQ6JLAkSNHvABpIE9OTibFSGIlIQqDBr2OyRGGbT9HG7uxIWFWP4TCoz6VQEmYug0s07qeUw7+wJs3b7qNGze6P/zhD27Lli2DN5jJwuOPP+5+8IMfeGsvv/xy0urc3Jy7++67W9InJydb9ge500/7d955p9Pnk08+GWSVs5R93333uVOnTrlVq1Y17d1zzz1++4477mjGdbqBA/szYseOHfO+iBUrVjj77Nixwx09etRJFKqGTsuRz8Tsxd9f+tKX3OLiYl+ESHY2bNjgDh482LYpau++ffv8yaM66STSficcyoyEg7gs37p161oG/JUrV9zFixfdt7/97bLDStPk6zhw4IBbs2ZNC3f1teLD0C/7GhO3bt1yzzzzTFi835bNsN+VNw7qszBPXM84/6D31X9iE4bXX3/dTUxM+ItnGN/RdrdTqs/TcbOzs03fhE09FxcXmz4KrY2rhG7K0ZRX09uyTxXbqTxhO2QjXvbEx6n9aq+m4aqbgk3BFW987DhNy7Wcafex/PG3HRfHx/tWr6I6xHlT++bbUBlaIiqoXOs31SUVerGvcsU+Zme2zDelPNouClZHfdctiKvq3ssSTW0ae5+RnWipgSj/RBXQ3ZZjYmQnfr8Gmgb+/v37vahogEtc1I52YmSD3k5Wq4/FxyeDxE51b/excuLvKmLUixCYPTthisRMbRAb8SoKvdi3slMiI3vqE3GwsVYkWsqjOqq8OgXj2qsQqU1jL0Z21UqdpBqgVU7ibssZlBhJHFV3G9jt6qfBoLxqq4QrDlbPorQ4byf7qpc+ZUECKLu6i9NN0Ams4/VJncxKS51Qvdg3EYnFPWyH2q++MsEvqofVITxu2NvqD3FT3foR8Bl1tKgdncxyEOvZnar+GbVMz40oPPTQQ8saag50+T7kf8oV5KuSH0UO09hPUbUOKkP1fv7555PPwXz66aeFzy/1av+VV15xcrrv3LkzWd3z58+7tWvXul27dvk8b7/99rK8Fy5ccNu3b18WP6wI+e+2bt3qmR06dKgv1ehKjOQEVCeFTkA5RxVnD6f1pXYZCtm2bZu3cvLkyUJrb7zxho/ftGlTYbpF9qscK28Y39evX/dmUw+u2Z2sq1ev9q16uruUusMkETp8+LD761//2iJEGmdVg06aEydO+Ozf+973qh7m8/VqXw9M6gbEzMxM0q7qJ6HUHSrdOVXQmAtvFmhbjnud/J0GHSsHuJ2rxk7xcoTr5oSc43Lgm0212/LrW3UMg/I9+eST/qIVCpEuUjq269Dp9Cqc8mrqrqA4rcU1xe92Kl1UD1saqNxOP1a3onLDOPMHqHxNN20ar++yaXNYhra7LcfaKJ+CMVRdtF00XY/tVt2vskxrl6ddetW6aIyoLE3xrV/teSMbP+KpdH2U1z7GqKotW2aX+WyKyuqHfdlU+2xMFdkxX6Ol2TFh39sYqTqmrSx9qzzZUDB2apvGtsrTtvWr8ine8lvdYna29FR51i/6Vl+l3B1hnVLbHT9n9Oabb3oln5+fb95y1pX0V7/6lXv00UdbrmBdK+RnB2ppIL/WIIOWMZoC6yrx4osv+itxaE/trPLzg27Lueuuu9zU1JS/6v3+97/3yypdYZ5++mm3Z88e98EHH7jw6hPWbVS39ezQz3/+88Lqh88VaUbUa7CZ7be+9a2Oi+rFvmYPsj09PZ1cGqpCmnUojwXVU8dpqWbj7syZMz7ZlsqWt8p3PFPR7ffvfOc7fkzZDFizes0ef/azn7mXXnqp+QzY/fff70385z//aTGl+qZWChrPXYeUSqXiTRXLHHKpY+sab1dPtU1XCgVdoe1KoqtFldCvcmTLrsy6snZzRYzra1e/sitXuzzt0mObw97XjMRmXmWzk0HU02YV4QynyI5mhGGfqN+tzjYWxV2fXoOVG5+7tgKIbSifjolnRr3WI3V8x3fTBEgAdaLm7uBUI3qJt0FTBDwUhHaDql/lhG1RnTQYqopheGy8XUVI2uVplx7bHPa+RNxOwNx10TmiZYsJSpF9E8tYHKzfbcypDbrQ9RKMhc7bONhF15bIlm4XV43tHKFjB7aWI7/+9a/9Uk0OTXsy1Jxf4RQtdJDJwR07wsK8w9p+9dVXvemiabzaalPlojscYZ37VU5Y5vr16/1urpsCDz74oLeXcuZb3b72ta/ZZq2/zdEeLoNyVFjjXI5rjR2NoVTQXTQFc1xbPhuLGnN2zmzevNmSu/q2pV789LrOWznHdS7Hdyvfe+89b+vhhx/uymanB3UkRgIj77rW+xKkpaUl79ORXyeGLiHSnRA1VPnUWN0N6OTEku/ExK7T76q3n1U/hdBXEUL8yle+4nfjdXOYR9v9KicuN+f+vffeW2rO7kp9+ctfLs1Xl8Tbt28PpSr6CZGC/f4uVYl//vOf/ryIz51HHnnEHyLf0dmzZ/12LFipMlPxdoGJfT3nzp3zh8hvGQYTKfmYYpEK8/VzuyMxkphI8dWAMtWX4MgZLGeYnGSCLeeYbmG+9tprletvDuzPHs5sCl+V/arOvna3q21Am7MvVfluy5HISriLwocffuijbcZSlKefcXYFNNEJy7aLSNEVNMxXp2078Ypm7aqn4nVru+qFq0rbVKacxlU4aeYRi4Bs6HyxxwF+85vfFApWlbqEeWwWFp8X//rXv3y2+LEBE6mczzZVFiN1mMREkGMlDxutbWu4eeMVZ+p66dKlOPtQ97///e97+/aSqLgydjfmiSeeaCbpyicR0bMZFropx47VDDI+YbRv0+Tw+ZhwttjPk0h1UR/Zkia+C6O7qAqaEY9K0LM7Cpq1xnwV/4tf/MKPacvXj3bpwVGdJ0U/ig3LV31UL1uKh2natqWaLv5lgmArhrIfQGtFozoVCZ/NmMJzVfZNpFL1i+vbl/1OHFNyysmZFjq05ISTo01p5qyzO27xXSA5ypSvTkF1NgeeHMXmlNe3ORLDux2quzkDw7sP3ZSjsszBKltmO7yTZ05MY2a2dVzM1/LE38onZ6qOUZ2tn+J82pdt5dXHyrfjw/YWHVvHOBuLqrvxDfu23+NRdsS5jLE4mXNY/V4UdLyNjfB8i/NanniMhvns5kqRE9yOD/Nr27jpGONl4yHO26/9ju6mqVI6YW1gqyGCbxW2SllD4spbR1m+On2rw0yU1C61UQMlboPqLIFQnqKB1Ek5Kksnv/hVta362AAqqlvI1C4elj/+Tt2lU53UNsuvcsoGe2izjtvqr5Cv2qV9tTEW+17qr/NDZReNi7BcOz+Mb4qt9YH6IxXalaHj1M/KF7dV5SpeLOKgttj4UXp8xy/O34/9jsSoqkGDHZ8sEqOihlctty75JB7qxBwdVJc2U4/2BBgX7RmV5ajsM+pkTbhy5crC7PIltfM3FR5Yo0it9eXjmZ2dLf3xY42qTFUyEZB/UT7Vsh/FZqrKSJoZiBjZXRn91wcLuhsjJ9pjjz1mUSP5rbuBEqLP2080RrIzalTpKj+KrVF1a1mVFZo2DaJmutOkmZBe/aBneJ566il/d+jjjz8e+dnRIHhR5mgT0KMumiwaB+kAAACXSURBVBnp7le7x0BGu6WDq/1AZkaq7h//+Ef/LNIDDzzg9C5nhfgl3oNrFiVDIB8BLd0lRHosAiHqnvvAZkbdV4kjIQCBcSQwsJnROMKkzRCAQPcEEKPu2XEkBCDQRwKIUR9hUhQEINA9AcSoe3YcCQEI9JEAYtRHmBQFAQh0TwAx6p4dR0IAAn0kgBj1ESZFQQAC3RP4fy2TbrsBva/fAAAAAElFTkSuQmCC)
12 pC
56 pC
30 pC
40 pC
25 pC
Considere uma esfera condutora com 10 cm de raio. Sabendo que o campo elétrico a 15 cm do centro da esfera tem um módulo de 3 × 10 3 N/C e aponta para o centro da esfera, Determine aproximadamente a carga desta esfera. Considere a constante eletrostática igual a 8, 99 · 109 Nm2/C2 .
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C
Calcule a força elétrica resultante na carga Q1= 6μC, localizada em P1(1, 2, –3), que sofre influência de Q2 = 13μC na posição P2(2 , – 4, 1) e Q3= -7μC na posição P3(3, –2,–2). Considere εr= 1,8.
Note que:
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)
7,5 · 10-10 C
7,5 · 10-9 C
7,5 · 10-11 C
7,5 · 10-12 C
7,5 · 10-13 C