Q.
A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5\,\mu F$. The dielectric constant of the medium between the capacitor plates is 1. It produces an instantaneous displacement current of 0.25 mA in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be ______ $\mathrm{Vs^{-1}}$.
Numerical Question
This is a numerical-answer question. The correct answer is shown below.
Explanation
[Solution by Dr. Abubacker] $I_d=C\frac{dV}{dt}\Rightarrow\frac{dV}{dt}=\frac{0.25\times10^{-3}}{2.5\times10^{-6}}=100\ \mathrm{V\,s^{-1}}$. Answer: 100.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.