Question

A parallel plate capacitor having plate area A and plate separation $d$ is connected to a battery of emf $\epsilon$ and internal resistance $R$ at $t=0$. Consider a plane surface of area $\frac{A}{2}$, parallel to the plates and situated symmetrically between them. Find the displacement current through this surface as a function of time?

• A. $\frac{\epsilon }{2R}{e}^{\frac{-td}{\epsilon AR}}$
• B. $\frac{2\epsilon }{R}{e}^{\frac{-td}{\epsilon AR}}$
• C. $\frac{5\epsilon }{2R}{e}^{\frac{-td}{4\epsilon AR}}$
• D. $\frac{\epsilon }{2R}{e}^{\frac{-td}{4\pi \epsilon AR}}$

Answer 1

The correct option is A $\frac{\epsilon }{2R}{e}^{\frac{-td}{\epsilon AR}}$