Q.3: Four capacitors are arranged in the following configuration: the capacitances of capacitors are Ci= 3.0µF, C2= 2.0µF, C3= 1.8µF, C4= 3.0µF. The battery voltage is 12.0V. (a) Calculate the equivalent capacitance of the configuration. (b) How much energy is stored in this capacitor configuration? (c) How much energy is stored in capacitor C1? C4 C1 C2

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**Question 3: Capacitor Configuration Exercise**

Four capacitors are arranged in the following configuration. The capacitances of the capacitors are:
- \(C_1 = 3.0 \, \mu \text{F}\)
- \(C_2 = 2.0 \, \mu \text{F}\)
- \(C_3 = 1.8 \, \mu \text{F}\)
- \(C_4 = 3.0 \, \mu \text{F}\)

The battery voltage is \(12.0 \, \text{V}\).

**Tasks:**

(a) Calculate the equivalent capacitance of the configuration.

(b) Determine how much energy is stored in this capacitor configuration.

(c) Calculate how much energy is stored in capacitor \(C_1\).

**Diagram Explanation:**

The diagram shows four capacitors arranged in a combination of series and parallel connections.

- \(C_4\) is connected in series with the parallel combination of \(C_2\) and the series arrangement of \(C_3\) and \(C_1\).
- \(C_2\) is connected in parallel with the series line connecting \(C_3\) and \(C_1\).
- \(V\) represents the battery voltage applied across the entire network.

This layout necessitates using the rules for both series and parallel arrangements to compute the equivalent capacitance and energy stored.
Transcribed Image Text:**Question 3: Capacitor Configuration Exercise** Four capacitors are arranged in the following configuration. The capacitances of the capacitors are: - \(C_1 = 3.0 \, \mu \text{F}\) - \(C_2 = 2.0 \, \mu \text{F}\) - \(C_3 = 1.8 \, \mu \text{F}\) - \(C_4 = 3.0 \, \mu \text{F}\) The battery voltage is \(12.0 \, \text{V}\). **Tasks:** (a) Calculate the equivalent capacitance of the configuration. (b) Determine how much energy is stored in this capacitor configuration. (c) Calculate how much energy is stored in capacitor \(C_1\). **Diagram Explanation:** The diagram shows four capacitors arranged in a combination of series and parallel connections. - \(C_4\) is connected in series with the parallel combination of \(C_2\) and the series arrangement of \(C_3\) and \(C_1\). - \(C_2\) is connected in parallel with the series line connecting \(C_3\) and \(C_1\). - \(V\) represents the battery voltage applied across the entire network. This layout necessitates using the rules for both series and parallel arrangements to compute the equivalent capacitance and energy stored.
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