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Home/Practice questions/Physics

PhysicsElectrostatic Potential and Capacitance

Answer & explanation+

Correct answer: option 1

The potential at the centre of a spherical shell can be written as the sum of potential due to two identical hemispheres
$V_{t o t a l} = V_{h e m i s p h e r e_{1}} + V_{h e m i s p h e r e_{2}}$
$⟹ V_{t o t a l} = 2 V_{h e m i s p h e r e}$
$⟹ $\frac{\sigma R }{\epsilon_0}$ = 2 V_{h e m i s p h e r e}$
$⟹ V_{h e m i s p h e r e} =$ $\frac{\sigma R }{2\epsilon_0}$

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