A 24.0-µF parallel-platecapacitor is connected to a 9.0-Vbattery. After the capa

Question

A 24.0-µF parallel-platecapacitor is connected to a 9.0-Vbattery. After the capacitor is fully charged, the battery isdisconnected without loss of any of the charge on the plates. (a) A voltmeter is connected across the twoplates without discharging them. What does it read?
1 V

(b) What would the voltmeter read if the plate separation werequadrupled?
2 V

What would the voltmeter read if the radius of each plate weredoubled and, but their separation wasunchanged?
3V (a) A voltmeter is connected across the twoplates without discharging them. What does it read?
1 V

(b) What would the voltmeter read if the plate separation werequadrupled?
2 V

What would the voltmeter read if the radius of each plate weredoubled and, but their separation wasunchanged?
3V

Explanation / Answer

(a) same as the battery     9.00 V . (b) use the expression    V = Q / C        .     if the plate separation quadruples, Cis decreased by a factor of 4, so V increases by a factor of 4to .                9.00 * 4 =    36.0 V . (c) if the radius of each plate were doubled, the areaof each plate would quadruple. This could cause C to increase by afactor of 4, which would cause the voltage to decrease by a factorof 4 to... .           9.00 /4 = 2.25V

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