question_answer

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field \[E\left( r \right)\]produced by the shell in the range \[0\le r<\infty ,\] where r is the distance from the center of the shell?

A)

B)

C)

D)       

Correct Answer: A

Solution :

[a] The electric field inside a thin spherical shell of radius R has charge Q spread uniformly over its surface is zero. Outside the shell the electric field is \[E=k\frac{Q}{{{r}^{2}}}.\] These characteristics are represented by graph [a].