In the region where electric field E=0, the relation between electric potential V and distance r is

Question

In the region where electric field E=0, the relation between electric potential V and distance r is (A) V propto r (B) V propto 1 / r (C) V propto r2 (D) V= constant

Tardigrade Admin · Accepted Answer

VA B=-∫ limitsAB vecE ⋅ d vecl ; ∵ vecE=0 ⇒ VA B=0 Potential difference (VA B) between any two points A and B is zero, hence potential is constant.

Q. In the region where electric field $E = 0$ , the relation between electric potential $V$ and distance $r$ is

$V \propto r$

$V \propto 1/ r$

$V \propto r^{2}$

V= constant

$V_{A B} = - A \int B E \cdot d l; ∵ E = 0$
$\Rightarrow V_{A B} = 0$
Potential difference $(V_{A B})$ between any two points $A$ and $B$ is zero, hence potential is constant.

Q. In the region where electric field E=0, the relation between electric potential V and distance r is

V∝r

V∝1/r

V∝r2