A parallel plate capacitor consisting of two circular plates of...

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference between the plates is

7 \times 10^8 \mathrm{~V} / \mathrm{s}

then the integer value of the distance between the parallel plates is \left(\right.

Take, \left.\epsilon_0=9 \times 10^{-12} \frac{\mathrm{~F}}{\mathrm{~m}}, \pi=\frac{22}{7}\right)

________

\mu \mathrm{m}

Correct answer

Step-by-step solution

\begin{aligned} & Q=c V \\ & V=\frac{Q}{c}=\frac{i t}{\left(\frac{\varepsilon_0 A}{d}\right)} \\ & d=\frac{\varepsilon_0 \pi r^2}{i}\left(\frac{v}{t}\right) \end{aligned}

Putting values

\begin{aligned} d & =\frac{9 \times 10^{-12} \times \frac{22}{7} \times(0.1)^2}{0.15} \times\left(7 \times 10^8\right) \\ & =1320 \mu \mathrm{~m} \end{aligned}

Practice Capacitance on Quantrex Academy →

More from Capacitance

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating… JEE Advanced 2026 A parallel plate capacitor is having separation between plates 0.885 mm. It has a… JEE Main 2026 A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical… JEE Main 2026 From the circuit given below, the capacitance between terminals A and B shown in the… JEE Main 2026 A parallel plate air capacitor is connected to a battery. The plates are pulled apart at… JEE Main 2026 Consider a circuit consisting of a capacitor ( 20\ μ F), resistor ( 100\ Ω ) and two… JEE Main 2026 The dimensional formula of (1)/(2)ε_0 E^2 ( ε_0 = permittivity of vacuum and E = electric… JEE Main 2026 A parallel plate air capacitor has a capacitance C . When it is half filled as show in… JEE Main 2026 Full Capacitance list All JEE Main PYQs