Q. A network of six identical capacitors, each of value$C$, is made as shown in the figure.

The equivalent capacitance between the points $A\ and\ B$ is

A) $\frac{4C}{11}$
B) $\frac{3C}{4}$
C) $\frac{3C}{2}$
D) $3C$
Explanation

(a) In the given circuit capacitor’s (1) (2) and (3) are connected in series, hence equivalent capacitance is
[image:2_image106.emf]
$\ \ \ \ \ \frac{1}{C^{''}} = \frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C}$
$\Rightarrow C^{''} = \frac{C}{3}$
This is connected in parallel with (4).
$\therefore\ \ C^{''''} = C^{''} + C = \frac{C}{3} + C = \frac{4C}{3}$
The three capacitor’s (5),$\frac{4C}{3},$ (6) are now connected in series.
$\therefore$ Equivalent capacitance is
$\ \ \ \ \ \frac{1}{C\ ''''''} = \frac{1}{C} + \frac{3}{4C} + \frac{1}{C}$
$\ \ \ \ \ \frac{1}{C''''''} = \frac{11}{4C}$
$\Rightarrow \ \ C^{''''''} = \frac{4C}{11}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.