An audio amplifier, represented by the AC source and theresistor R delivers alternating voltages at audio frequencies tothe speaker.If the source puts out an alternating voltage of 15.0V(rms),the resistance R is 8.20, and the speaker is equivalent to aresistance of 10.4, what is the time-averaged power delivered tothe speaker?

An audio amplifier, represented by the AC source and theresistor R delivers alternating voltages at audio frequencies tothe speaker.If the source puts out an alternating voltage of 15.0V(rms),the resistance R is 8.20, and the speaker is equivalent to aresistance of 10.4, what is the time-averaged power delivered tothe speaker?

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asked 2021-03-11
An audio amplifier, represented by the AC source and theresistor R delivers alternating voltages at audio frequencies tothe speaker.If the source puts out an alternating voltage of 15.0V(rms),the resistance R is 8.20, and the speaker is equivalent to aresistance of 10.4, what is the time-averaged power delivered tothe speaker?

Answers (1)

2021-03-13

Vrms\(= 15V\)
\(R1=8.2\)ohms
\(R2=10.4\)ohms
\(Rtotal=8.2+10.4 = 18.6\) ohms
\(Irms=Vrms/R = 15v/18.6\ ohms = 0.8A\)
\(Pav = (I)2rmsR\) (here it is I square)
\(Pav = (0.8)2 (10.4)\) 

\(Pav = 6.76w\)

0

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