A capacitor of capacitance C is charged to a potential V . The flux of the electric field through a closed surface enclosing the capacitor is

Question

A capacitor of capacitance C is charged to a potential V . The flux of the electric field through a closed surface enclosing the capacitor is (A) (C V/ϵ 0) (B) (2 C V/ϵ 0) (C) (C V/2 ϵ 0) (D) zero

Tardigrade Admin · Accepted Answer

As the net charge on a capacitor including both the plates is zero. Therefore from Gauss's law, the flux of the electric field through a closed surface enclosing the capacitor is zero.

Q. A capacitor of capacitance $C$ is charged to a potential $V$ . The flux of the electric field through a closed surface enclosing the capacitor is

$\frac{C V}{ϵ _{0}}$

$\frac{2 C V}{ϵ _{0}}$

$\frac{C V}{2 ϵ _{0}}$

zero

As the net charge on a capacitor including both the plates is zero.
Therefore from Gauss's law, the flux of the electric field through a closed surface enclosing the capacitor is zero.

Q. A capacitor of capacitance C is charged to a potential V . The flux of the electric field through a closed surface enclosing the capacitor is

ϵ0​CV​

ϵ0​2CV​

2ϵ0​CV​