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

Question

In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 μ F. All values in the circuit are in μ F. (A) (7/10) μ F (B) (7/11) μ F (C) (6/5) μ F (D) 4 μ F

Tardigrade Admin · Accepted Answer

From equs. ((7C/3)/(7)3+C) = (1/2) ⇒ 14 C = 7 + 3 C ⇒ C = (7/11)

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

$\frac{7}{10} μ F$

$\frac{7}{11} μ F$

$\frac{6}{5} μ F$

$4 μ F$

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

Q. In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5μF. All values in the circuit are in μF.

107​μF

117​μF

56​μF

4μF