Question

The given graph shows variation (with distance $r$ from centre) of:

• A. Potential of a uniformly charged sphere
• B. Potential of a uniformly charged spherical shell
• C. Electric field of uniformly charged spherical shell
• D. Electric field of uniformly charged sphere

Answer 1

The correct option is B

Potential of a uniformly charged spherical shell

Explanation for Correct Answer:

Option (B):

We can say the electric potential inside the shell is

$V_{inside}=V_{surface}=\frac{KQ}{r_0}Ifr\le r_0$

$r_0$is the radius of the shell.

Electric Potential outside the shell is at a distance$r$,

The distance from the center is $r$.

$V_{outside}=\frac{KQ}{r}$$r>r_0$

$V\propto \frac{1}{r}$

The potential is inversely proportional to $r$

Therefore the given graph represents the variation of $r$ and the potential$V$ of a uniformly charged spherical shell. .

Hence, option B is the correct answer.