Question

The electrostatic potential on the surface of a charged conducting sphere is $100\, V$. Two statements are made in this regard
$S_{1}$ : At any point inside the sphere, electric intensity is zero
$S_{2}$ : At any point inside the sphere, the electrostatic potential is $100 \, V$
Which of the following is a correct statement?

• A. $S_{1}$ is true but $S_{2}$ is false
• B. Both $S_{1}$ and $S_{2}$ are false
• C. $S_{1}$ is true, $S_{2}$ is also true and $S_{1}$ is the cause of $S_{2}$
• D. $S_{1}$ is true, $S_{2}$ is also true but the statements are independent

Answer 1

Answer: (C)

Potential at any point inside a charged conducting sphere = potential on the surface, $V=\frac{Kq}{R}=100\, V$
Now, $E=-\frac{dV}{dr}=0$ $(\because$ $V$ is constant)