First slide

Kirchhoff's rules for capacitors

Question

In the circuit shown, charge on the 5 $μ F$ capacitor is :

Moderate

A

16.36 $μ C$
B

5.45 $μ C$
C

10.90 $μ C$
D

18.00 $μ C$

Solution

Applying KJR
$q = q_{1} + q_{2}$
Applying KLR
$6 - \frac{q_{1}}{2} - \frac{q}{5} = 0$
And
$6 - \frac{q_{2}}{4} - \frac{q}{5} = 0$
$\begin{array}{l} \Rightarrow q_{2} = 2 q_{1} \\ \Rightarrow q = 3 q_{1} \\ T h u s, 6 - \frac{q}{6} - \frac{q}{5} = 0 \\ \Rightarrow \frac{11}{30} q = 6 \\ \Rightarrow q = \frac{180}{11} μ C = 16.36 μ C \end{array}$

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