Answer to Question #112107 in Electric Circuits for asdasd

Question #112107
what are the magnitude and direction of the electric field at point midway between a -8.0μC and a 7.00μC charge 8.0 cm apart? assume no other charges are nearby
1
Expert's answer
2020-04-27T10:16:22-0400

"|\\vec E|=|\\vec E_1|+|\\vec E_2|=\\frac{1}{4\\pi \\epsilon_0}(\\frac{|q_1|}{(r\/2)^2}+\\frac{q_2}{(r\/2)^2})" or

"|\\vec E|=\\frac{1}{\\pi\\epsilon_0r^2}(|q_1|+q_2)\\approx8.4\\sdot10^7 N\/C" (Newton per coulomb), where "1\/4\\pi\\epsilon_0\\approx9\\sdot10^9Nm^2c^{-2},r=8\\sdot10^{-2}m"

"|q_1|=8\\sdot10^{-6}C,q_2=7\\sdot10^{-6}C"

The direction of the field vector towards the negative charge


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