Question

Four identical capacitors are connected such that ,three capacitors are in parallel the fourth is connected in series. The effective capacity is $3.75$ $\mu F$ then each capacitor is of value

• A. $3\mu F$
• B. $4\mu F$
• C. $5\mu F$
• D. $6\mu F$

Answer 1

The correct option is C $5\mu F$

Given that

Effective capacitance $C=3.75\mu F$

Given that,

Three identical capacitor are connected in parallel

$C^{\prime }=C+C+C$

$C^{\prime }=3C$

And fourth is connected in series

$\frac{1}{C}=\frac{1}{C^{\prime }}+\frac{1}{C}$

$\frac{1}{3.75}=\frac{1}{3C}+\frac{1}{C}$

$C=5\mu F$

Hence, the value of each capacitor is $5\mu F$