The charge on a capacitor varies with time as $q = q_0 \sin(2\pi nt)$. What is the displacement current produced in the dielectric of the capacitor?

  • A
    $\frac{q}{\varepsilon_0 A}$
  • B
    $\frac{q_0}{\varepsilon_0} \sin(2\pi nt)$
  • C
    $2\pi n q_0 \cos(2\pi nt)$
  • D
    $\frac{2\pi n q_0}{\varepsilon_0} \cos(2\pi nt)$

Explore More

Similar Questions

An electromagnetic wave of frequency $100 \text{ MHz}$ propagates through a medium of conductivity $\sigma = 10 \text{ mho/m}$. The ratio of maximum conducting current density to maximum displacement current density is . . . . . . . $\left[ \text{Take } \frac{1}{4 \pi \epsilon_0} = 9 \times 10^9 \text{ Nm}^2/\text{C}^2 \right]$

Which of the following Maxwell's equations is valid for time-varying conditions but not valid for static conditions?

Displacement current is given by

The capacitance of a capacitor is $2 \ pF$. If the electric field inside the capacitor changes at a rate of $10^{12} \ V \ s^{-1}$,the displacement current is ..... $A$.

The source of an electromagnetic wave can be a charge

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo