Question

(7) +

Two capacitor plates are kept and the upper plate is rotating with $\omega$. Find the value of capacitance.

[Circular Plates]

Answer 1

C = \frac{\epsilon_0 \pi R^2}{d}

Answer 2

Capacitance depends on plate area ($A$), separation ($d$), and dielectric permittivity ($\epsilon$). For circular plates of radius $R$, $A = \pi R^2$. If the upper plate rotates about its center, the effective overlap area $\pi R^2$ and separation $d$ remain constant. Thus, capacitance $C = \frac{\epsilon_0 \pi R^2}{d}$ is independent of angular velocity $\omega$.

Answer: The value of capacitance is $C = \frac{\epsilon_0 \pi R^2}{d}$, where $R$ is the radius of the circular plates and $d$ is the distance between them. The angular velocity $\omega$ does not affect the capacitance in this configuration.