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NEET 2022

Exam: NEET
Year: 2022
Subject: Physics
Chapter: Capacitance

NEET 2022 · Physics · Capacitance

The distance between the two plates of a parallel plate capacitor...

The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If

\mathrm{C}

is its initial capacitance, its final capacitance is equal to:

Options

A $2 \mathrm{C}$
B $C / 2$
C $4 \mathrm{C}$
D $\mathrm{C} / 4$

Correct answer

D. $\mathrm{C} / 4$

Step-by-step solution

The capacitance of parallel plate capacitor,

\mathrm{C}=\frac{\varepsilon_0 \mathrm{~A}}{d}

(where, the symbols have their usual meanings.) Given,

\quad d^{\prime}=2 \mathrm{~d} \& \mathrm{~A}^{\prime}=\frac{\mathrm{A}}{2}

Then,

\mathrm{C}^{\prime}=\frac{\varepsilon_0\left(\frac{\mathrm{A}}{2}\right)}{2 d}=\frac{\varepsilon_0 \mathrm{~A}}{4 d}=\frac{\mathrm{C}}{4}

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