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Find the Charge on the Capacitor as Shown in the Circuit. - Physics

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ConceptEnergy Stored in a Capacitor

Question

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

Solution

Total current I through the circuit is given by

\[I = \frac{V}{R}\]
Here, V = 2 V
= (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 \[Q = CV = \left( 6 \times {10}^{- 6} \right)\left( \frac{2}{3} \right) = 4  \mu C\]
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Solution Find the Charge on the Capacitor as Shown in the Circuit. Concept: Energy Stored in a Capacitor.
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