Question

Find the charge on the capacitor as shown in the circuit.

Answer 1

Total current I through the circuit is given by

\[I = \frac{V}{R}\]

Here, V = 2 V
R = (10+20) Ω = 30 Ω

\[\therefore I = \frac{2}{30} = \frac{1}{15} A\]

Voltage across 10 Ω resistor =\[I(10) = \frac{10}{15} = \frac{2}{3} V\]

∴ Charge on the capacitor is given by \[Q = CV = \left( 6 \times {10}^{- 6} \right)\left( \frac{2}{3} \right) = 4  \mu C\]