In the circuit shown, find (C) if the effective capacitance... | Physics | SolveeIt | Solveeit

Today, August 18

Question

In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5 \mu F$ . All values in the circuit are in $\mu F$ .

A

$\frac{7}{10} \mu F$

B

$\frac{7}{11} \mu F$

C

$\frac{6}{5} \mu F$

D

$4 \mu F$

Answer

$\frac{7}{11} \mu F$

Explanation

Solution

From equs.
$\frac{\frac{7C}{3}}{\frac{7}{3}+C} \, = \, \frac{1}{2}$
$\Rightarrow \, \, 14 \, C \, = \, 7 \, + \, 3 \, C$
$\Rightarrow \, \, \, C \, = \, \frac{7}{11}$