Question

Four identical charges each of charge q are placed at the corners of a square. Then at the center of the square.the resultant electric intensity' E and the net electric potential V are

• A. $E\ne 0,V=0$
• B. $E=0,V=0$
• C. $E=0,V\ne 0$
• D. $E\ne 0,V\ne 0$

Answer 1

Answer: (C)

$\to$ electic field by the diagonality opposits changes canal each other
$\therefore E=0$
voltage:
we know $V=\frac{KV}{e}$
$(E$ is vector $V$ is a scalar $)$
$V=\frac{\sqrt{2}KV}{a}$
total $V=\frac{4\sqrt{2}KV}{a}$
$\therefore E=0,V\ne 0$