Question

The effective capacitance between ‘A’ and ‘B’ is :

• A. $\frac{1}{3}\mu F$
• B. $44\mu F$
• C. $7.6\mu F$
• D. $6.7\mu F$

Answer 1

The correct option is A $\frac{1}{3}\mu F$

Effective capacitance of the combination of $1\mu F,3\mu F,3\mu F,3\mu F$ is given by,

$C_1=\frac{(3\times 3\times 3)}{9+9+9}+1=2\mu F$

There are four such combination connected in series with two $2\mu F$ capacitors.

$\therefore$ Effective capacitance between $A$ and $B$ is given by,

$C_{AB}=\frac{2}{1+1+1+1+1+1}=\frac{1}{3}\mu F$