Question

A hollow metal sphere of radius $5cm$ is charged such that the potential on its surface is $10volts$. The electric field at the centre of the sphere will be

• A. $50$ volts/meter
• B. $10$ volts/meter
• C. $5$ volts/meter
• D. $zero$

Answer 1

The correct option is D $zero$

$\to$ We know voltage inside a metal sphere is constant
$\therefore$ V= 10 volts inside sphere

As we know $E=-\frac{dv}{dx}$

as V is constant $\Rightarrow E=0$