Question

The following arrangement consists of five identical metal plates. Area of each plate is A and separation between the successive plates is d. The capacitance between P and

• A. $\frac{5{\epsilon }_{0}A}{d}$
• B. $\frac{7}{3}{\epsilon }_0\frac{A}{d}$
• C. $\frac{4}{3}\frac{{\epsilon }_{0}A}{d}$
• D. $\frac{5}{3}\frac{{\epsilon }_{0}A}{d}$

Answer 1

The correct option is D $\frac{5}{3}\frac{{\epsilon }_{0}A}{d}$

For IMAGE 02 $C_p=C+C=2$

FOR IMAGE 03 series combination $C_s=\frac{C\times 2C}{C+2C}=\frac{2}{3}C$

FOR IMAGE 04 parallel combination $C_p=C+\frac{2}{3C}C=\frac{5}{3}C=\frac{5}{3}\frac{{\epsilon }_{o}A}{d}$