Parallel Circuit
The parallel RC circuit is generally of less interest than the series circuit. This is largely because the output voltage is equal to the input voltage — as a result, this circuit does not act as a filter on the input signal unless fed by a current source.
With complex impedances:
and
.
This shows that the capacitor current is 90° out of phase with the resistor (and source) current. Alternatively, the governing differential equations may be used:
and
.
When fed by a current source, the transfer function of a parallel RC circuit is:
.
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