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Receivers, whether they are two channel or 7.1, use a shared power supply.

All amps in receiver using class AB topology need a positive and negative power supply voltage. Each of these two power supply voltages uses one or more filter capacitors to smooth out the voltage coming from the bridge rectifier.

A designer might use multiple smaller capacitors rather than one big one in such as way that a smaller voltage capacitor could be used than is dictated. Various series-parallel combinations are possible to increase filter capacitance.

Up to a point, using more capacitance can reduce power supply ripple. There's a law of diminishing returns. Using more filter capacitance can also result in an increase in very short term power as the filter capacitance can also store energy.

For more info on how amp power supplies work google 'amplifier power supply.' There's some interesting articles online.
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