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:

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

Famous quotes containing the words parallel and/or circuit:

“The universe expects every man to do his duty in his parallel of latitude.”
—Henry David Thoreau (1817–1862)

“We are all hostages, and we are all terrorists. This circuit has replaced that other one of masters and slaves, the dominating and the dominated, the exploiters and the exploited.... It is worse than the one it replaces, but at least it liberates us from liberal nostalgia and the ruses of history.”
—Jean Baudrillard (b. 1929)