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

Answer 1

Answer: (C)

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