Question

Two point charges q and 2q are placed some distance apart. If the electric field at the location of q be E, then that at the location of 2q will be

• A. 3 E
• B. $\frac{E}{2}$
• C. E
• D. None of these

Answer 1

The correct option is B $\frac{E}{2}$

Two point charges $=q$ and $2q$ electric field at location of $Q$ is due to $-2Q$. Let the distance between then be $d$.

Therefore electric field at $Q=E=\frac{K2Q}{d2}$

Electric field at $-2Q$ is due to $Q$ only and equal to $\frac{kq}{d^2}$

$E=E/2$