A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is [2023]

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Solution

Q.
A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is [2023]

1 $\frac{C V}{2 ε_{0}}$

2 $\frac{2 C V}{ε_{0}}$

3 $\frac{C V}{ε_{0}}$

4 $zero$

Ans.
(3)

$ϕ = \frac{q_{in}}{ε_{0}} = \frac{Q}{ε_{0}} = \frac{C V}{ε_{0}}$

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