Q112 / 150 · MHT CET 2021 (23 Sep Shift 1) · Physics

The plates of a parallel plate capacitor of capacity ' $\mathrm{C}_1$ ' are moved closer together until they are half their original separation. The new capacitance ' $\mathrm{C}_2$ ' is

A
$\mathrm{C}_2=\frac{\mathrm{C}_1}{2}$
B
$\mathrm{C}_2=\mathrm{C}_1$
Correct answer
C
$\mathrm{C}_2=2 \mathrm{C}_1$
D
$C_2=4 C_1$

Solution

The capacitance of a parallel plate capacitor is given by $$ \mathrm{C}=\frac{\mathrm{kA} \varepsilon_0}{\mathrm{~d}} $$ If the distance between the plates $\mathrm{d}$ is decreased to half, the capacitance will become double.

Hence, the correct answer is option: 'C'.

Relevant Questions

Two circular plates each of radius ' ' are kept parallel to each other distance ' ' apart. The capacitance of the capacitor formed is ' '. I18 Apr, 2026 (M)Capacitance
Two indentical metal plates are given charges and respectively. They are brought close together to form a parallel plate capacitor with capa17 Apr, 2026 (E)Capacitance
Two parallel plate air capacitors are connected in parallel. Each capacitor has plate area and separation between the plates is and respecti15 Apr, 2026 (E)Capacitance
A parallel plate capacitor with air between the plate has a capacitance of pF. The separation between the plates becomes twice and the space13 Apr, 2026 (E)Capacitance
Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area A/3 and separation between the plates is d, 2d 11 Apr, 2026 (E)Capacitance
The earth is assumed to be a charged conducting sphere having volume 'V' and surface area 'A'. The capacitance of the earth in free space is11 Apr, 2026 (E)Capacitance