question_answer

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

A)               

B)  

C)  

D)  

E)  

Correct Answer: C

Solution :

Electric field due to a hollow spherical conductor is governed by the following equation \[E=0\] for \[r<R\]                        ...(i) and      \[E=\frac{Q}{4\pi {{\varepsilon }_{0}}{{r}^{2}}}\] for \[r\ge R\] ie, inside the conductor field will be zero and outside the conductor field will vary according to                 \[E\propto \frac{1}{{{r}^{2}}}\]