Each channel of a stereo receiver is capable of an average power output of 100?

Question

Each channel of a stereo receiver is capable of an average power output of 100?W into an 6-? loudspeaker(Figure 1) .

Each channel of a stereo receiver is capable of an average power output of 100?W into an 6-? loudspeaker(Figure 1) . What is the rms voltage fed to the speaker at the maximum power of 100?W? Express your answer to one significant figure and include the appropriate units. What is the rms current fed to the speaker at the maximum power of 100?W? Express your answer to one significant figure and include the appropriate units. What is the rms voltage fed to the speaker at 1.0?W when the volume is turned down Express your answer to one significant figure and include the appropriate units. What is the rms current fed to the speaker at 1.0?W when the volume is turned down Express your answer to one significant figure and include the appropriate units

Explanation / Answer

A)

Vpeak = sqrt(R*Wmax) = sqrt(6*100) = 24.5 V

Vrms = Vpeak/sqrt(2) = 24.5/sqrt(2) = 17.3 V

B)

Ipeak = Wmax/Vp = 100/24.5 = 4.1 A

Irms = Ipeak/sqrt(2) = 4.1/sqrt(2) =2.9 Amp

C)

Vpeak = sqrt(R*Wmax) = sqrt(6*1) = 2.4 V

Vrms = Vpeak/sqrt(2) = 2.4/sqrt(2) = 1.7 V

D)

Ipeak = Wmax/Vp = 1/2.4 = 0.4 A

Irms = Ipeak/sqrt(2) = 0.4/sqrt(2) = 0.3 Amp

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