(i) Find the equivalent capacitance. (ii) Find the voltage across each of the capacitors (V1, V2, V3). (iii) Find the charge stored in each of the capacitors (Q1, Q2, Q.). + V - G|13 µF le + CQ2 CQ, V2 |4 µF E = 120 V 2 µF

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3. In the following circuit,

(i) Find the equivalent capacitance.

(ii) Find the voltage across each of the capacitors (\(V_1, V_2, V_3\)).

(iii) Find the charge stored in each of the capacitors (\(Q_1, Q_2, Q_3\)).

Circuit Description:

- There is a circuit with a battery \(E = 120 \, \text{V}\) connected to three capacitors arranged in a combination of series and parallel.

- Capacitor \(C_1\) is 3 µF, \(C_2\) is 4 µF, and \(C_3\) is 2 µF.

- \(C_2\) and \(C_3\) are in parallel to each other, and this parallel combination is in series with \(C_1\).

The circuit diagram shows:

- \(C_1\) with voltage \(+V_1-\) across it, and charge \(Q_1\).

- Parallel branch with capacitors \(C_2\) and \(C_3\):

  - \(C_2\) with voltage \(+V_2-\) across it, and charge \(Q_2\).

  - \(C_3\) with voltage \(+V_3-\) across it, and charge \(Q_3\).

- The battery has its positive terminal connected to the top plate of \(C_1\) and its negative terminal grounded, completing the circuit.
Transcribed Image Text:3. In the following circuit, (i) Find the equivalent capacitance. (ii) Find the voltage across each of the capacitors (\(V_1, V_2, V_3\)). (iii) Find the charge stored in each of the capacitors (\(Q_1, Q_2, Q_3\)). Circuit Description: - There is a circuit with a battery \(E = 120 \, \text{V}\) connected to three capacitors arranged in a combination of series and parallel. - Capacitor \(C_1\) is 3 µF, \(C_2\) is 4 µF, and \(C_3\) is 2 µF. - \(C_2\) and \(C_3\) are in parallel to each other, and this parallel combination is in series with \(C_1\). The circuit diagram shows: - \(C_1\) with voltage \(+V_1-\) across it, and charge \(Q_1\). - Parallel branch with capacitors \(C_2\) and \(C_3\): - \(C_2\) with voltage \(+V_2-\) across it, and charge \(Q_2\). - \(C_3\) with voltage \(+V_3-\) across it, and charge \(Q_3\). - The battery has its positive terminal connected to the top plate of \(C_1\) and its negative terminal grounded, completing the circuit.
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