The sinusoidal output of an audio amplifier is displayed on an oscilloscope set to…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electromagnetic induction and alternating-current circuits · Electromagnetic induction and alternating-current circuits

Electricity, Magnetism and Electromagnetism, Ch Alternating current: peak and rms values, the oscilloscope and rectification

Problem

The sinusoidal output of an audio amplifier is displayed on an oscilloscope set to 0.50 ms0.50\,\mathrm{ms} per division on the time base and 2.0 V2.0\,\mathrm{V} per division on the vertical axis. One complete cycle occupies 4.04.0 horizontal divisions, and the trace runs from trough to crest through a total height of 6.06.0 divisions. The oscilloscope is ideal and draws no current. The output is connected to a loudspeaker which behaves as a pure resistance of 8.0 Ω8.0\,\Omega, constant over the cycle. ((a)) Find the period and the frequency of the output. ((b)) Find the peak voltage and the root-mean-square voltage. ((c)) Find the mean power delivered to the loudspeaker.

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