HHH G G In Fig. capacitance of each capacitor is 11 uF. If the potential difference between the plates of C4 is 6V, what is the potential difference between the plates of battery? a)13.5 b)28 c)94.5 d) 32.4 e)25.2 Win- Wi

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### Circuit Analysis: Capacitors in a Complex Network

#### Diagram Explanation
The given image shows a complex electrical circuit diagram consisting of multiple capacitors with the following labels:
- \(C_1\)
- \(C_2\)
- \(C_3\)
- \(C_4\)
- \(C_5\)
- \(C_6\)

These capacitors are connected to a voltage source \(V\). The diagram suggests different configurations of capacitors in series and parallel combinations. Note that all capacitors in the circuit have the same capacitance value: 11 μF.

#### Problem Statement
The problem is to find the potential difference between the plates of the battery given the potential difference across capacitor \(C_4\) as 6V.

#### Question
Calculating the potential difference between the plates of a battery with the given conditions:

- Capacitance of each capacitor \(C = 11\ \mu\text{F}\)
- Potential difference across \(C_4 = 6\ \text{V}\)

What is the potential difference between the plates of the battery among the following options?
a) 13.5V 
b) 28V 
c) 94.5V 
d) 32.4V 
e) 25.2V 

#### Solution Approach
1. **Identify the Configuration:** Understand the series and parallel arrangement of the capacitors.
2. **Calculate Voltage Distribution:** Utilize the given voltage across \(C_4\) to find the total voltage supplied by the battery.
3. **Use Capacitance Relations:** Apply the appropriate series and parallel formulas to find the equivalent capacitance where necessary.

This problem is crucial in learning how to analyze complex circuits involving capacitors and is a fundamental exercise for understanding principles of electrical engineering and physics.
Transcribed Image Text:### Circuit Analysis: Capacitors in a Complex Network #### Diagram Explanation The given image shows a complex electrical circuit diagram consisting of multiple capacitors with the following labels: - \(C_1\) - \(C_2\) - \(C_3\) - \(C_4\) - \(C_5\) - \(C_6\) These capacitors are connected to a voltage source \(V\). The diagram suggests different configurations of capacitors in series and parallel combinations. Note that all capacitors in the circuit have the same capacitance value: 11 μF. #### Problem Statement The problem is to find the potential difference between the plates of the battery given the potential difference across capacitor \(C_4\) as 6V. #### Question Calculating the potential difference between the plates of a battery with the given conditions: - Capacitance of each capacitor \(C = 11\ \mu\text{F}\) - Potential difference across \(C_4 = 6\ \text{V}\) What is the potential difference between the plates of the battery among the following options? a) 13.5V b) 28V c) 94.5V d) 32.4V e) 25.2V #### Solution Approach 1. **Identify the Configuration:** Understand the series and parallel arrangement of the capacitors. 2. **Calculate Voltage Distribution:** Utilize the given voltage across \(C_4\) to find the total voltage supplied by the battery. 3. **Use Capacitance Relations:** Apply the appropriate series and parallel formulas to find the equivalent capacitance where necessary. This problem is crucial in learning how to analyze complex circuits involving capacitors and is a fundamental exercise for understanding principles of electrical engineering and physics.
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