{"id":7256,"date":"2022-02-02T09:00:00","date_gmt":"2022-02-02T12:00:00","guid":{"rendered":"https:\/\/professorpinguim.com.br\/blog\/?p=7256"},"modified":"2023-08-06T21:01:40","modified_gmt":"2023-08-07T00:01:40","slug":"exercicios-de-forca-eletrica","status":"publish","type":"post","link":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/","title":{"rendered":"Exerc\u00edcios de For\u00e7a El\u00e9trica"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Fala, pessoal, tudo certo? Neste post, vamos resolver alguns exerc\u00edcios sobre for\u00e7a el\u00e9trica. Antes, por\u00e9m, vamos revisar alguns conceitos e f\u00f3rmulas importantes para essa disciplina. Acompanhe!<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">For\u00e7a el\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">For\u00e7a el\u00e9trica \u00e9 a atra\u00e7\u00e3o ou repuls\u00e3o entre duas cargas gerada por um campo el\u00e9trico. Ela pode ser calculada pela f\u00f3rmula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" width=\"220\" height=\"75\" class=\"wp-image-7328\" style=\"width: 220px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.02.35.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.02.35.png 370w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.02.35-300x102.png 300w\" sizes=\"(max-width: 220px) 100vw, 220px\" \/><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>k: constante eletrost\u00e1tica do meio. No v\u00e1cuo, seu valor \u00e9 9.10<sup>9<\/sup> N.m\u00b2\/C\u00b2.<\/li><li>Q<sub>1<\/sub>: m\u00f3dulo do valor da carga do corpo 1.<\/li><li>Q<sub>2<\/sub>: m\u00f3dulo do valor da carga do corpo 2.<\/li><li>d: dist\u00e2ncia entre as duas cargas.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">A atra\u00e7\u00e3o entre cargas ocorre quando elas possuem sinais opostos (positivo e negativo), ou quando apenas uma delas \u00e9 neutra. J\u00e1 a repuls\u00e3o se d\u00e1 quando as cargas t\u00eam o mesmo sinal (positivo+positivo ou negativo+negativo).<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/professorpinguim.com.br\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"488\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-1024x488.png\" alt=\"Extensivo de Fisica para Vestibulares Paulistas\" class=\"wp-image-19816\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-1024x488.png 1024w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-300x143.png 300w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-768x366.png 768w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-670x319.png 670w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-1060x505.png 1060w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1.png 1280w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Exerc\u00edcios resolvidos sobre For\u00e7a El\u00e9trica<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(PUC-RS) A figura a seguir representa duas pequenas cargas el\u00e9tricas atraindo-se.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/ijpgEWFnwfDBiJ6Ss8D6bP17UDIRj1wtO9tRu5su8v3KXWIpnQo9e4ZHQS_naakaVZzoFsSUinUdni33-gQCzK2ijDgFx3sNvr-0f86myj6XfPchEjwDJkxtJctq8RZW2s2zNUbZ\" alt=\"duas pequenas cargas el\u00e9tricas\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Em rela\u00e7\u00e3o a esses dados, \u00e9 correto afirmar que:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) As duas cargas s\u00e3o positivas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) A carga Q1 \u00e9 necessariamente negativa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) O meio onde se encontram as cargas n\u00e3o influi no valor da for\u00e7a de atra\u00e7\u00e3o<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) Em m\u00f3dulo, as duas cargas s\u00e3o necessariamente iguais.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) As duas cargas atraem-se com for\u00e7as iguais em m\u00f3dulo.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a e b) Erradas. Se as cargas est\u00e3o se atraindo, temos duas situa\u00e7\u00f5es poss\u00edveis:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>uma carga \u00e9 positiva e outra \u00e9 negativa; ou<\/li><li>uma carga \u00e9 neutra e a outra \u00e9 carregada.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">c) Errada. O meio influencia, sim, no valor da for\u00e7a de atra\u00e7\u00e3o, porque a f\u00f3rmula desta for\u00e7a \u00e9:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" width=\"220\" height=\"96\" class=\"wp-image-7334\" style=\"width: 220px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.04.26.png\" alt=\"\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O meio \u00e9 representado justamente pela letra k, que \u00e9 a constante eletrost\u00e1tica do meio.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) Errada. As cargas podem ser diferentes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) Certa. Isso se explica pela 3\u00aa Lei de Newton, que diz que as for\u00e7as s\u00e3o de a\u00e7\u00e3o e rea\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESPOSTA: E<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(Mackenzie-SP) Nos pontos A e B do v\u00e1cuo ( k<\/strong><strong><sub>0<\/sub><\/strong><strong> = 9.10\u2079 N.m\/C\u00b2) s\u00e3o colocadas as cargas el\u00e9tricas puntiformes q<\/strong><strong><sub>A<\/sub><\/strong><strong> = 8.10<\/strong><strong><sup>-6<\/sup><\/strong><strong> C e q<\/strong><strong><sub>B<\/sub><\/strong><strong> = 6.10<\/strong><strong><sup>-6<\/sup><\/strong><strong> C, respectivamente. A for\u00e7a de repuls\u00e3o entre as cargas tem intensidade de 1,2 N. A dist\u00e2ncia entre os pontos A e B \u00e9:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) 20 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) 36 cm&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) 48 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) 60 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) 72 cm\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para encontrarmos a dist\u00e2ncia, basta aplicarmos a f\u00f3rmula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"261\" class=\"wp-image-7336\" style=\"width: 250px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.05.50.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.05.50.png 426w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.05.50-288x300.png 288w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para facilitar nossas contas, vamos transformar o expoente em um n\u00famero par, pois \u00e9 mais simples tirar a raiz quadrada assim:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d\u00b2 = 36 . 10\u00b9 . 10<sup>-3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d\u00b2 = 36 . 10<sup>-2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d = 6 . 10<sup>-1<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d = 0,6 m = 60 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESPOSTA: D<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 3<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(UFPE) Duas part\u00edculas de mesma massa t\u00eam cargas Q e 3Q. Sabendo-se que a for\u00e7a gravitacional \u00e9 desprez\u00edvel em compara\u00e7\u00e3o com a for\u00e7a el\u00e9trica, indique qual das figuras melhor representa as acelera\u00e7\u00f5es vetoriais das part\u00edculas.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/Ni8cKwEx-odfmSjFswM9Ci-xEj9Lm4Y_W_M5qKiRu8k0tszINox6z5uZJbbd-TPn4mDPl_YeCpSmEmPyx1C3sKU-ZsHC2G_wIdpa404T1zKLWeV3AgAp5Nnz3AerxRo_juCR-MiM\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vimos que, para calcular a for\u00e7a el\u00e9trica, temos que fazer:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"106\" class=\"wp-image-7338\" style=\"width: 220px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.07.50.png\" alt=\"\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">No entanto, essa \u00e9 a for\u00e7a da carga A em B (F<sub>AB<\/sub>), mas tamb\u00e9m de B em A (F<sub>BA<\/sub>). Essas duas for\u00e7as t\u00eam o mesmo m\u00f3dulo, pois trata-se de a\u00e7\u00e3o e rea\u00e7\u00e3o (F<sub>AB<\/sub> = F<sub>BA<\/sub>). No entanto, repare que s\u00e3o for\u00e7as de repuls\u00e3o, pois t\u00eam o mesmo sinal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se essas for\u00e7as forem virar for\u00e7as resultantes, lembre-se de que essa for\u00e7a \u00e9 dada por:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R = m . a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como a for\u00e7a \u00e9 igual para as duas cargas e tamb\u00e9m possuem a mesma massa, significa que elas tamb\u00e9m possuem a mesma acelera\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Conclus\u00e3o: elas v\u00e3o se repelir, acelerando cada uma para um lado.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESPOSTA: C<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 4<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(UFPE) O gr\u00e1fico a seguir mostra a intensidade da for\u00e7a eletrost\u00e1tica entre duas esferas met\u00e1licas muito pequenas em fun\u00e7\u00e3o da dist\u00e2ncia entre o centro das esferas. Se as esferas t\u00eam a mesma carga el\u00e9trica, qual o valor dessa carga?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/POMi8Z1Yl1r-6mFWdM_3OBjSJ1VkNCfAgJ9-0vZBnxmQIVjFHTp831aTJN_B9z1AuTSpcRzOkQpp8hiB-3VfZx0RE5d0hq0NNm5U2y7uvII44dJiY2Uz7wWYhFdLOEZPHRJTlDIp\" alt=\"O gr\u00e1fico mostra a intensidade da for\u00e7a eletrost\u00e1tica \"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">a) 0,86 \u00b5C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) 0,43 \u00b5C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) 0,26 \u00b5C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) 0,13 \u00b5C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) 0,07 \u00b5C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Novamente, temos que recorrer \u00e0 f\u00f3rmula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"80\" class=\"wp-image-7340\" style=\"width: 220px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.09.07.png\" alt=\"\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como as cargas s\u00e3o iguais, podemos pegar qualquer ponto do gr\u00e1fico. Vamos escolher o primeiro ponto, em que a for\u00e7a \u00e9 40 \u00b5N e a dist\u00e2ncia \u00e9 2 m. Note, no entanto, a unidade dessa for\u00e7a. \u00c9 preciso convert\u00ea-la. Isso posto, vamos l\u00e1:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <img loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"150\" class=\"wp-image-7342\" style=\"width: 220px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.10.14.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.10.14.png 334w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.10.14-300x205.png 300w\" sizes=\"(max-width: 220px) 100vw, 220px\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Temos que ajustar tudo isso para que fique mais f\u00e1cil tirarmos a raiz quadrada:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <img loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"366\" class=\"wp-image-7343\" style=\"width: 220px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.11.19.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.11.19.png 358w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.11.19-180x300.png 180w\" sizes=\"(max-width: 220px) 100vw, 220px\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESPOSTA: D<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(UNESP) Considere duas pequenas esferas condutoras iguais,separadas pela dist\u00e2ncia d = 0,3 m. Uma delas possui carga Q<\/strong><strong><sub>1<\/sub><\/strong><strong>= 1 \u00d710<\/strong><strong><sup>\u20139 <\/sup><\/strong><strong>C e a outra Q<\/strong><strong><sub>2<\/sub><\/strong><strong>= -5 \u00d710<\/strong><strong><sup>-10 <\/sup><\/strong><strong>C. Utilizando 1\/(4\u03c0\u03b50) = 9 \u00d710<\/strong><strong><sup>9 <\/sup><\/strong><strong>N.m<\/strong><strong><sup>2<\/sup><\/strong><strong>\/C<\/strong><strong><sup>2<\/sup><\/strong><strong>,&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a) Calcule a for\u00e7a el\u00e9trica F de uma esfera sobre a outra,declarando se a for\u00e7a \u00e9 atrativa ou repulsiva<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como as esferas t\u00eam sinais opostos, a for\u00e7a certamente \u00e9 atrativa. Ent\u00e3o, para calcul\u00e1-la, basta usarmos a f\u00f3rmula. Note que j\u00e1 podemos colocar a dist\u00e2ncia em nota\u00e7\u00e3o cient\u00edfica, para facilitar nossas contas: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"191\" class=\"wp-image-7345\" style=\"width: 250px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.12.28.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.12.28.png 406w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.12.28-300x229.png 300w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b) A seguir, as esferas s\u00e3o colocadas em contato uma com a outra e recolocadas em suas posi\u00e7\u00f5es originais. Para esta nova situa\u00e7\u00e3o, calcule a for\u00e7a el\u00e9trica F de uma esfera sobre a outra, declarando se a for\u00e7a \u00e9 atrativa ou repulsiva.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quando fazemos o contato entre as esferas, a carga final de uma ser\u00e1 igual \u00e0 da outra, pois s\u00e3o corpos do mesmo tamanho. Ent\u00e3o vamos ter que a soma das cargas depois do contato tem que ser igual \u00e0 soma das cargas depois do contato:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Q&#8217; + Q&#8217; = Q<sub>1<\/sub> + Q<sub>2<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2Q&#8217; = 1.10<sup>-9<\/sup> &#8211; 5.10<sup>-10<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2Q&#8217; = 1.10<sup>-9<\/sup> &#8211; 0,5.10<sup>-9<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2Q&#8217; = 0,5.10<sup>-9<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Q&#8217; = 0,25.10<sup>-9<\/sup> C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Agora, precisamos calcular a nova for\u00e7a el\u00e9trica:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"131\" class=\"wp-image-7347\" style=\"width: 250px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.13.52.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.13.52.png 466w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.13.52-300x157.png 300w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Al\u00e9m das contas, vou transformar 0,25 . 0,25 em fra\u00e7\u00e3o, pois facilita minha conta. Isso d\u00e1 1\/16. Seguindo:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"67\" class=\"wp-image-7348\" style=\"width: 250px;\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.14.44.png\" alt=\"\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.14.44.png 494w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/Captura-de-Tela-2022-02-02-a\u0300s-19.14.44-300x80.png 300w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Espero que voc\u00ea tenha entendido um pouco melhor como resolver exerc\u00edcios de for\u00e7a el\u00e9trica. E se quiser praticar mais, confira minha <strong>aula sobre Eletrost\u00e1tica para Unicamp e Unesp<\/strong>, em que praticamos muitas quest\u00f5es. Assista:<\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube aligncenter wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"F\u00edsica para Unicamp e Unesp | Aula #2 ELETROST\u00c1TICA | Professor Pinguim\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/Dz4JLW6huZY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">E se quiser ajuda para melhorar seu n\u00edvel de F\u00edsica em outras mat\u00e9rias,\u00a0<strong><a href=\"https:\/\/professorpinguim.com.br\/\">entre em contato comigo e escolha o curso de F\u00edsica mais adequado para voc\u00ea<\/a>!<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/professorpinguim.com.br\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"488\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-1024x488.png\" alt=\"Extensivo de Fisica para Vestibulares Paulistas\" class=\"wp-image-19816\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-1024x488.png 1024w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-300x143.png 300w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-768x366.png 768w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-670x319.png 670w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1-1060x505.png 1060w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1.png 1280w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SAIBA MAIS<\/strong><br>\ud83d\udc49&nbsp;<strong><strong><a href=\"https:\/\/professorpinguim.com.br\/blog\/como-estudar-eletricidade-para-vestibulares-paulistas\/\" target=\"_blank\" rel=\"noreferrer noopener\">Como estudar Eletricidade para vestibulares paulista<\/a><\/strong><\/strong><br>\ud83d\udc49&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/questoes-resolvidas-sobre-carga-eletrica-e-processos-de-eletrizacao\/\" target=\"_blank\"><strong>Exerc\u00edcios resolvidos sobre carga el\u00e9trica <\/strong><\/a><br>\ud83d\udc49 <strong><a href=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-resolvidos-sobre-vetores\/\" target=\"_blank\" rel=\"noreferrer noopener\">Exerc\u00edcios resolvidos sobre vetores<\/a> <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Me acompanhe nas redes sociais: curta a minha&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/www.facebook.com\/professorpinguim\/\" target=\"_blank\"><strong>p\u00e1gina no Facebook<\/strong><\/a><strong>,<\/strong>&nbsp;me&nbsp;siga no&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/www.instagram.com\/professorpinguim\/\" target=\"_blank\"><strong>Instagram<\/strong><\/a><strong>,<\/strong>&nbsp;se inscreva no&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/www.youtube.com\/c\/PinguimV%C3%ADdeoF%C3%ADsica\/?sub_confirmation=1\" target=\"_blank\"><strong>Youtube<\/strong><\/a>&nbsp;e participe do meu canal oficial no&nbsp;<strong><a href=\"https:\/\/professorpinguim.com.br\/telegram\">Telegram<\/a><\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Neste post, vamos resolver alguns exerc\u00edcios sobre for\u00e7a el\u00e9trica. Antes, por\u00e9m, vamos revisar alguns conceitos e f\u00f3rmulas importantes para essa disciplina. Acompanhe!<\/p>\n","protected":false},"author":1,"featured_media":7261,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[746,729,744],"tags":[669,755,754],"class_list":["post-7256","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eletricidade","category-eletrostatica","category-exercicios-resolvidos","tag-campo-eletrico","tag-conceitos-e-formulas","tag-forca-eletrica"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Exerc\u00edcios de For\u00e7a El\u00e9trica - Professor Pinguim | F\u00edsica<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exerc\u00edcios de For\u00e7a El\u00e9trica - Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"og:description\" content=\"Neste post, vamos resolver alguns exerc\u00edcios sobre for\u00e7a el\u00e9trica. Antes, por\u00e9m, vamos revisar alguns conceitos e f\u00f3rmulas importantes para essa disciplina. Acompanhe!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/\" \/>\n<meta property=\"og:site_name\" content=\"Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Betminds.Digital\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-02-02T12:00:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-08-07T00:01:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/exercicios-de-forca-eletrica-prof-pinguim-fisica-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1707\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Professor Pinguim\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Professor Pinguim\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/\",\"url\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/\",\"name\":\"Exerc\u00edcios de For\u00e7a El\u00e9trica - Professor Pinguim | F\u00edsica\",\"isPartOf\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#website\"},\"datePublished\":\"2022-02-02T12:00:00+00:00\",\"dateModified\":\"2023-08-07T00:01:40+00:00\",\"author\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536\"},\"breadcrumb\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"In\u00edcio\",\"item\":\"https:\/\/professorpinguim.com.br\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exerc\u00edcios de For\u00e7a El\u00e9trica\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#website\",\"url\":\"https:\/\/professorpinguim.com.br\/blog\/\",\"name\":\"Professor Pinguim | F\u00edsica\",\"description\":\"F\u00edsica para Vestibular Paulista, ENEM e Ensino M\u00e9dio\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/professorpinguim.com.br\/blog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536\",\"name\":\"Professor Pinguim\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g\",\"caption\":\"Professor Pinguim\"},\"description\":\"A plataforma do Professor Pinguim \u00e9 dedicada ao ensino da F\u00edsica e vai te ensinar com uma metodologia completa essa incr\u00edvel mat\u00e9ria.\",\"sameAs\":[\"https:\/\/professorpinguim.com.br\/\"],\"url\":\"https:\/\/professorpinguim.com.br\/blog\/author\/admin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Exerc\u00edcios de For\u00e7a El\u00e9trica - Professor Pinguim | F\u00edsica","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/","og_locale":"pt_BR","og_type":"article","og_title":"Exerc\u00edcios de For\u00e7a El\u00e9trica - Professor Pinguim | F\u00edsica","og_description":"Neste post, vamos resolver alguns exerc\u00edcios sobre for\u00e7a el\u00e9trica. Antes, por\u00e9m, vamos revisar alguns conceitos e f\u00f3rmulas importantes para essa disciplina. Acompanhe!","og_url":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/","og_site_name":"Professor Pinguim | F\u00edsica","article_publisher":"https:\/\/www.facebook.com\/Betminds.Digital\/","article_published_time":"2022-02-02T12:00:00+00:00","article_modified_time":"2023-08-07T00:01:40+00:00","og_image":[{"width":2560,"height":1707,"url":"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/02\/exercicios-de-forca-eletrica-prof-pinguim-fisica-scaled.jpg","type":"image\/jpeg"}],"author":"Professor Pinguim","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Professor Pinguim","Est. tempo de leitura":"6 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/","url":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/","name":"Exerc\u00edcios de For\u00e7a El\u00e9trica - Professor Pinguim | F\u00edsica","isPartOf":{"@id":"https:\/\/professorpinguim.com.br\/blog\/#website"},"datePublished":"2022-02-02T12:00:00+00:00","dateModified":"2023-08-07T00:01:40+00:00","author":{"@id":"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536"},"breadcrumb":{"@id":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/#breadcrumb"},"inLanguage":"pt-BR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-forca-eletrica\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"In\u00edcio","item":"https:\/\/professorpinguim.com.br\/blog\/"},{"@type":"ListItem","position":2,"name":"Exerc\u00edcios de For\u00e7a El\u00e9trica"}]},{"@type":"WebSite","@id":"https:\/\/professorpinguim.com.br\/blog\/#website","url":"https:\/\/professorpinguim.com.br\/blog\/","name":"Professor Pinguim | F\u00edsica","description":"F\u00edsica para Vestibular Paulista, ENEM e Ensino M\u00e9dio","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/professorpinguim.com.br\/blog\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pt-BR"},{"@type":"Person","@id":"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536","name":"Professor Pinguim","image":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g","caption":"Professor Pinguim"},"description":"A plataforma do Professor Pinguim \u00e9 dedicada ao ensino da F\u00edsica e vai te ensinar com uma metodologia completa essa incr\u00edvel mat\u00e9ria.","sameAs":["https:\/\/professorpinguim.com.br\/"],"url":"https:\/\/professorpinguim.com.br\/blog\/author\/admin\/"}]}},"_links":{"self":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts\/7256","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/comments?post=7256"}],"version-history":[{"count":17,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts\/7256\/revisions"}],"predecessor-version":[{"id":19820,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts\/7256\/revisions\/19820"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/media\/7261"}],"wp:attachment":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/media?parent=7256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/categories?post=7256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/tags?post=7256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}