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A capacitor of capacitance C, which is i...

A capacitor of capacitance C, which is initially charged up to a potential differnce `epsilon`, is connected with a battery of emf `epsilon//2` such that the positive terminal of the battery is connected with the positive plate of the capacitor. After a long time.
i. find the total charge flow through the battery
ii. find the total work done by the battery
iii. Find the heat dissipated in the circuit during the process of charging.

Text Solution

AI Generated Solution

To solve the problem step by step, we will break down the tasks into three parts as outlined in the question. ### Part i: Find the total charge flow through the battery 1. **Calculate the initial charge on the capacitor (Q_initial)**: The initial charge on the capacitor can be calculated using the formula: \[ Q_{\text{initial}} = C \cdot \epsilon ...
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