Question

Two charges q1 and q2 are separated by a distance d and exert a force F on each other. What new force F ′ would exist if q1 is quadrupled? 1. None of these 2. F ′ = 1 4 F 3. F ′ = 1 16 F 4. F ′ = 16 F 5. F ′ = 0 6. F ′ = 4 F

Answer 1

Answer:F'=4F

Explanation:

Given

There are Two charges $q_1$ and $q_2$

Force Between them is F

separation between them is d

Electrostatic Force is given by

$F=\frac{kq_1q_2}{d^2}$

If $q_1$ is quadrupled i.e. $q_1'=4q_1$

$F'$ is given by

$F'=\frac{kq_1'q_2}{d^2}$

$F'=\frac{4kq_1q_2}{d^2}$

$F'=4\frac{kq_1q_2}{d^2}$

$F'=4F$

Four times of original Force

Answer 2

Answer:   F ′ = 1 4 F

Explanation: