A parallel-plate capacitor with capacitance C and circular plates is connected t

Question

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) A voltmeter is connected across the two plates without discharging them. What does it read? B) What would the voltmeter read if the plate separation were doubled? C) What would the voltmeter read if the radius of each plate were doubled, but their separation was unchanged? 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) A voltmeter is connected across the two plates without discharging them. What does it read? B) What would the voltmeter read if the plate separation were doubled? C) What would the voltmeter read if the radius of each plate were doubled, but their separation was unchanged? A) A voltmeter is connected across the two plates without discharging them. What does it read? B) What would the voltmeter read if the plate separation were doubled? C) What would the voltmeter read if the radius of each plate were doubled, but their separation was unchanged?

Explanation / Answer

Here,

for the charge on the plates

Q = C * V

a) if the capacitance is same and the charge will be same as before

the voltmeter will read V

b) if the plate seperation is doubled ,the capcitance will be halved

as the charge is same

the voltmeter reading will be doubled

the reading is 2V

c)

the capacitance will be 4 times

as the charge is same

the voltmeter reading will be 1/4 times

the reading is V/4

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