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. $\frac{{\epsilon }_{0}A}{d}[\frac{K_1}{2}+\frac{K_2{K}_3}{K_2+K_3}]$
• B. $\frac{{\epsilon }_{0}A}{d}[\frac{K_1}{2}+\frac{(K_2+K_3)}{K_2{K}_3}]$
• C. $\frac{{\epsilon }_{0}A}{d}[\frac{2}{K_1}+\frac{K_2{K}_3}{K_2+K_3}]$
• D. $\frac{{\epsilon }_{0}A}{d}[\frac{2}{K_1}+\frac{K_2+K_3}{K_1{K}_3}]$

Answer 1

Answer: (A)

Correct answer is (a) $\frac{{\epsilon }_{0}A}{d}[\frac{K_1}{2}+\frac{K_2{K}_3}{K_2+K_3}]$