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 (r) produced by the shell in the range \[0\le r<\infty \], where r is the distance from the centre of the shell?

A)      

B)  

C)             

D)  

Correct Answer: A

Solution :

Inside the shell \[(r=0\,\,to\,\,r=R)\] \[\operatorname{E} = 0\] on the surface of the shell \[\left( r =R \right),\,\,E= max outside\]the shell \[\left( r >R \right),\,\,E\propto  \frac{1}{{{r}^{2}}}\]