7/25/2019 2.CapacitorsInSeriesAndParallel

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Some material reproduced with permission from Ulaby, F. T., & Maharbiz, M. M. (2012). Circuits. 2ndEdition, NTS Press.

Capacitors in Series and Parallel

Capacitors in Series

The capacitors on the top left share the samecurrent, is, which is related to their individual

voltages by

Note also,

Now for the circuit on the bottom, it must be true

that

which leads to

For the general case of N capacitors in series:

7/25/2019 2.CapacitorsInSeriesAndParallel

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Some material reproduced with permission from Ulaby, F. T., & Maharbiz, M. M. (2012). Circuits. 2ndEdition, NTS Press.

Capacitors in Parallel

The three capacitors on the top left are connected in

parallel. Hence, they share the same voltage

s, and the source current isis equal to the sum of

their currents,

Now for the circuit on the bottom, it must be true

that

Equating the expressions leads to

For the general case of N capacitors in parallel: