Question

Charge q is 1 unit of distance away from the source charge S. Charge p is six times further away. The force exerted between S and q is the force exerted between S and p.

1. 6 times
2. 1/6
3. 36 times
4. 1/36​

Answer 1

36 times

Explantaion:

The force exerted between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

In the case of S and q: The distance of separation is 1 unit

F(Sq) α S*q/1²

In the case of S and p: the distance is 6 units

F(Sp) α S*p/6²

therefore:

F(Sq) = 36 * F(Sp)