Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Waves

Question:

The charge on a parallel plate capacitor is varying as $q = q_0 sin 2\pi ft$ The plates are very large and close together. Neglecting the edge effects, the displacement current through the capacitor is:

Options:

$ \frac{Q}{\epsilon_o A}$

$\frac{Q}{\epsilon_0} sin2\pi ft$

$2\pi fq_0 cos 2\pi ft$

$\frac{2\pi fq_0}{\epsilon_0} cos2\pi ft$

Correct Answer:

$2\pi fq_0 cos 2\pi ft$

Explanation:

$I_d = \frac{dq}{dt} = \frac{d}{dt} q_0 sin 2\pi ft = q_0 2\pi f cos 2\pi ft$