A common emitter amplifier has a voltage gain of $$50$$, an input impedance of $$100$$Ω and an output impedance of $$200$$ Ω. The power gain of the amplifier is

Question

A common emitter amplifier has a voltage gain of $$50$$, an input impedance of $$100$$Ω and an output impedance of $$200$$ Ω.  The power gain of the amplifier is

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AC power gain is the ratio of change in output power to the change in input power.AC power gain $$=Change$$ in output powerChange in input $$power=$$∆Vc×∆ic∆Vi×∆$$ib=$$∆Vc∆Vi×∆ic∆$$ib=Av$$×βAC Where Av is voltge gain and $$($$β$$)Ac$$ is AC current gain. Also, $$Av/$$βAc $$=resistance$$ gain $$=R0R1$$ Given, $$Av=50$$, $$R0=200$$ Ω, $$Ri=100$$ Ω Hence, $$50/$$β$$Ac=200100$$ βAc $$=25$$ Now, AC power gain $$=$$ Av ×βAc  $$=50$$×$$25=1250$$

A common emitter amplifier has a voltage gain of 50, an input impedance of 100 $Ω$ and an output impedance of 200 $Ω$ . The power gain of the amplifier is

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A common emitter amplifier has a voltage gain of 50, an input impedance of 100Ω and an output impedance of 200 Ω. The power gain of the amplifier is

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A common emitter amplifier has a voltage gain of 50, an input impedance of 100 $Ω$ and an output impedance of 200 $Ω$ . The power gain of the amplifier is