Question

Parallel plate capacitor is constructed using three different dielectric materials as shown in the figure. The parallel plates, across which a potential difference is applied of area $A m^2$ and separated by a distance d metre. The capacitance across A and B is

• A. $\frac {\varepsilon_0A}{d} \Big[\frac {K_1}{2} + \frac {K_2K_3}{K_2+K_3}\Big]$
• B. $\frac {\varepsilon_0A}{d} \Big[\frac {K_1}{2} + \frac {(K_2+K_3)}{K_2K_3}\Big]$
• C. $\frac {\varepsilon_0A}{d} \Big[\frac {2}{K_1} + \frac {K_2K_3}{K_2+K_3}\Big]$
• D. $\frac {\varepsilon_0A}{d} \Big[\frac {2}{K_1} + \frac {K_2 + K_3}{K_1 K_3}\Big]$

Answer 1

Answer: (A)

Correct answer is (a) $\frac {\varepsilon_0A}{d} \Big[\frac {K_1}{2} + \frac {K_2K_3}{K_2+K_3}\Big]$