Question

The equivalent capacitance between points a and b in given arrangement of plates will be:(each plate has the area 'A' & separation between two adjacent plates is 'd').

• A. $\frac{2}{3}\frac{{\epsilon }_{o}A}{d}$
• B. $\frac{3}{2}\frac{{\epsilon }_{o}A}{d}$
• C. $\frac{2{\epsilon }_{o}A}{d}$
• D. $\frac{{\epsilon }_{o}A}{3d}$

Answer 1

The correct option is B $\frac{3}{2}\frac{{\epsilon }_{o}A}{d}$

FOR IMAGE 02 series combination $C_s=\frac{C\times C}{2C}$

FOR IMAGE 03 parallel combination $C_p=C+\frac{C}{2}=\frac{3C}{2}=\frac{3{\epsilon }_{o}A}{2d}$