Q.4: A 20.0V battery is connected across capacitors Cı=C6=3.0µF and C3= Cs= 2.0C2=2.0C4= 4.0µF. What are (i) the equivalent capacitance Ceq of the capacitors, (ii) the charge stored by Ceq? What are (iii) V1 and (iv) qı of capacitor C1, (v) V2 and (vi) q2 of capacitor C2, (vii) V3 and (viii) q3 of capacitor C3? C2 20.0V

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Please answer vii, viii
### Educational Content: Capacitor Circuit Analysis

**Problem Statement:**

A 20.0V battery is connected across capacitors \( C_1 = C_6 = 3.0 \, \mu\text{F} \) and \( C_3 = 2.0 \, \mu\text{F} \), \( C_2 = 2.0 \, \mu\text{F} \), \( C_4 = 4.0 \, \mu\text{F} \), \( C_5 = 2.0 \, \mu\text{F} \).

**Tasks:**

Calculate the following:

(i) The equivalent capacitance \( C_{\text{eq}} \) of the capacitors.

(ii) The charge stored by \( C_{\text{eq}} \).

For each capacitor:

(iii) Voltage \( V_1 \) and charge \( q_1 \) of capacitor \( C_1 \).

(v) Voltage \( V_2 \) and charge \( q_2 \) of capacitor \( C_2 \).

(vii) Voltage \( V_3 \) and charge \( q_3 \) of capacitor \( C_3 \).

**Circuit Diagram Explanation:**

The circuit consists of a configuration of six capacitors and a 20.0V battery:

- Capacitor \( C_1 \) and \( C_6 \) are both connected to the battery.
- Capacitors \( C_2 \) and \( C_5 \) are placed parallel to each other and then in series with \( C_3 \).
- Capacitor \( C_4 \) is placed parallel to the combination of \( C_3 \), \( C_5 \), and \( C_2 \).

To solve the problem, you must calculate the effective capacitance of the network and understand the voltage distribution and charge on each capacitor when connected to the power source.
Transcribed Image Text:### Educational Content: Capacitor Circuit Analysis **Problem Statement:** A 20.0V battery is connected across capacitors \( C_1 = C_6 = 3.0 \, \mu\text{F} \) and \( C_3 = 2.0 \, \mu\text{F} \), \( C_2 = 2.0 \, \mu\text{F} \), \( C_4 = 4.0 \, \mu\text{F} \), \( C_5 = 2.0 \, \mu\text{F} \). **Tasks:** Calculate the following: (i) The equivalent capacitance \( C_{\text{eq}} \) of the capacitors. (ii) The charge stored by \( C_{\text{eq}} \). For each capacitor: (iii) Voltage \( V_1 \) and charge \( q_1 \) of capacitor \( C_1 \). (v) Voltage \( V_2 \) and charge \( q_2 \) of capacitor \( C_2 \). (vii) Voltage \( V_3 \) and charge \( q_3 \) of capacitor \( C_3 \). **Circuit Diagram Explanation:** The circuit consists of a configuration of six capacitors and a 20.0V battery: - Capacitor \( C_1 \) and \( C_6 \) are both connected to the battery. - Capacitors \( C_2 \) and \( C_5 \) are placed parallel to each other and then in series with \( C_3 \). - Capacitor \( C_4 \) is placed parallel to the combination of \( C_3 \), \( C_5 \), and \( C_2 \). To solve the problem, you must calculate the effective capacitance of the network and understand the voltage distribution and charge on each capacitor when connected to the power source.
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