A 10-7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 5x1013 2; on a humid day, the resistance is 8 x 10° 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?

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A 10-7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC
circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 5x1013
2; on a humid day, the resistance is 8 x 10° 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?
Transcribed Image Text:A 10-7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 5x1013 2; on a humid day, the resistance is 8 x 10° 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?
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