Question

Two points of charges q and -3q are placed at a distance apart if the electric field at location q in e the field at location -3q is

Answer 1

Given that,

Charge of first point = q

Charge of second point = -3q

Distance = d

Let the distance between two charges be d.

We need to calculate the electric field at location -3q

Using formula of electric field

$E=\dfrac{kq}{r^2}$

Put the value into the formula

$E=\dfrac{k(-3q)}{r^2}$

$|E|=\dfrac{3qk}{r^2}$

$\dfrac{E}{3}=\dfrac{kq}{r^2}$....(I)

We need to calculate the electric field at location q

Using formula of electric field

$E'=\dfrac{kq}{r^2}$

Put the value into the formula from equation (I)

$E'=\dfrac{E}{3}$

Hence, The electric field at location q will be $\dfrac{E}{3}$.