A signal generator produces a sinusoidal voltage

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

A signal generator produces a sinusoidal voltage. Its output is displayed on an oscilloscope whose time base is set to 2.0 ms2.0\,\mathrm{ms} per division and whose vertical sensitivity is set to 50 V50\,\mathrm{V} per division. On the screen one complete cycle occupies 5.05.0 horizontal divisions, and the crest of the trace lies 2.42.4 divisions above the zero line. The oscilloscope is ideal: it draws no current and it draws the waveform itself. The same output is then connected across a resistor of resistance 40 Ω40\,\Omega, whose resistance does not change with temperature. ((a)) Find the period and the frequency of the voltage. ((b)) Find the peak voltage and the root-mean-square voltage. ((c)) Find the mean power dissipated in the resistor.

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