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Exercise 24.6 - edited by Dr. McCormick Part A A parallel-plate capacitor with c

ID: 1773782 • Letter: E

Question

Exercise 24.6 - edited by Dr. McCormick Part A A parallel-plate capacitor with capacitance C and circular plates is connected to a battery with voltage V. After the capacitor is fully charged, the battery is disconnected without loss of any of the charge on the plates. A voltmeter is connected across the two plates without discharging them. What does it read? Submit My Answers Give Up Part B What would the voltmeter read if the plate separation were doubled? Submit My Answers Give Up Give Up Part C What would the voltmeter read if the radius of each plate were doubled, but their separation was unchanged?

Explanation / Answer

Potential different across capacitor = V

Charge stored on capacitor = Q = CV

If we remove the battery then charge on the capacitor will remain constant but here V = Q/C

In first case C is also constant so reading by voltmeter will V.

(b) as C = epsilon×Area/ distance between plate

New capacitance C' = C/2 ( as distance between plate is doubled )

Q' = Q

C'V' = CV

C/2 *V' = CV

V' = 2V