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Question: A parallel-plate capacitor with plate area 4.0 cm^2 and air-gap seperation 0.50 mm is connected to a 12-V battery, and fully charged. The battery is then disconnected.

Part A: What is the charge on the capacitor?

Part B: The plates are not pulled to a separation of 0.75 mm. What is the charge on the capacitor now?

Part C: What is the potential difference between the plates now?

Part D: How much work was required to pull the plates to their new separation?

Please show all work to solve the above question.

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