A 10.0 - F parallel-plate capacitor is connected to a 12.0 -V battery. After the

Question

A 10.0 -F parallel-plate capacitor is connected to a 12.0 -V battery. After the capacitor is fully charged, the battery is disconnected without loss of any of the charge on the plates.

Part A A voltmeter is connected across the two plates without discharging them. What does it read? AE Submit My Answers Give Up Part B What would the voltmeter read if the radius of each plate were doubled, but their separation was unchanged? AE Submit My Answers Give Up Part C What would the voltmeter read if the plate separation were doubled? AE Submit My Answers Give Up Continue Provide Feedback

Explanation / Answer

Part A : A voltmeter is connected across the two plates without discharging them.What does it read?

V = 12 V

Part B : What would the voltmeter read if the radius of each plate was doubled, but the separation between the plates was unchanged?

When r is doubled, A increase by a factor of 4. It means that, V decreases by a factor of 4.

Then, we get

V = (12 V) / 4 = 3 V

Part C : What would the voltmeter read if the plate separation were doubled?

When d is doubled, C is halved.

We know that, Vab = Q / C and Q is constant.

so, V will be doubles.

Then, we get

V = 24 V

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