Question

A hollow chaeged mental sphere has radius r . if the potential difference between its surface and a point at a distance 3r from the center is 'v' then electric field intensity at a distance 3r is

• A. $\frac{v}{2r}$
• B. $\frac{v}{3r}$
• C. $\frac{v}{6r}$
• D. $\frac{v}{4r}$

Answer 1

The correct option is C $\frac{v}{6r}$

radius $=r$

potential difference its surface and a point at a distance $=3r$

centre $=V$

electric field intensity at a distance $=3r$

$E=\frac{1}{2}\times \frac{V}{3r}=\frac{1}{6}\frac{V}{r}$