Answer to Question #310827 in Electric Circuits for lia

Question

If a positive test charge is located between two charged spheres, A and B. Sphere A has a charge of +4q and is located 0.2 meter from the test charge. Sphere B has a charge of -2q and is located 0.1 meter from the test charge. If the magnitude of the force on the test charge due to sphere A is F, what is the magnitude of the force on the test charge due to sphere B?

Answer 1

Explanations & Calculations

$\qquad\qquad \begin{aligned} \small F&=\small k\frac{4q\times Q}{0.2^2}\\ \small F &=\small 100.kqQ\\ \\ \small F_1&=\small k\frac{2q\times Q}{0.1^2}\\ \small F_1&=\small 200.kqQ\\ \\ \therefore\\ \small F_1&=\small 2F \end{aligned}$