RC Circuit - Parallel Circuit

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:

I_R = \frac{V_{in}}{R}\,

and

I_C = j\omega C V_{in}\, .

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:

I_R = \frac{V_{in}}{R}

and

I_C = C\frac{dV_{in}}{dt} .

When fed by a current source, the transfer function of a parallel RC circuit is:

\frac{V_{out}}{I_{in}} = \frac{R}{1+sRC} .

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