Assume a device is designed to obtain a large potential difference by first char

Question

Assume a device is designed to obtain a large potential difference by first charging a bank of capacitors in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged in series. What is the maximum potential difference that can be obtained in this manner by using ten 500 microFarad capacitors and an 800 V charging source

Explanation / Answer

Charge recived by each capacitor

Q=CV =(500*10-6)*800=0.4C

equivalent capacitance of 10 capacitors

Ceq =C/10 =500/10=50 uF

Maximum Potential difference

Vmax =Q/Ceq =0.4/(50*10-6)V

Vmax=8000 Volts or 8 KV

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