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Voltage Power

February 15th, 2010 Leave a comment Go to comments

Voltage Power
How do I find the current, voltage, and power gains?

An Amplifier has an input resistance of 20 Ohms, an output resistance of 10 Ohms, and a short-circuit current gain of 3000. The signal source has an internal voltage of 100mV rms and an internal impedance of 200 Ohms. The amplifier load is a 5-Ohm resistance. Find the current gain, voltage gain, and power gain of the amplifier. If the power supply has a voltage of 12V and supplies an average current of 2A, find the power dissipated in the amplifier.

on the input side, the current is 0.1v / 220 ohms = 455 uA
Voltage at input is 455 uA x 20 ohms or 9.1 mV

Assuming the output of the amp is modeled as a current source of 3000*IIN in series with 10 ohms.

This causes an output current of 3000 times higher or 455 uA x 3000 or 1.36 amps

1.36 amps through 5 ohms is 6.82 volts.

Voltage gain is 6.82v / 9.1mV = 749
Current gain is 3000
power input is 9.1mv x 455 ua = 4.14 uW
power output is 6.82v x 1.36a = 9.28W
power gain is 9.28w / 4.14 uW = 2240000

power dissipated is 12v x 2a = 24 w

.

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