Two sinusoidal voltages of the same frequency are displayed together on a twin-trace…
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
Two sinusoidal voltages of the same frequency are displayed together on a twin-trace oscilloscope. The time base is 1.0ms per division and both channels are set to 5.0V per division. One complete cycle of either trace occupies 10.0 horizontal divisions, and corresponding crests of the two traces are separated horizontally by 1.5 divisions. Trace A has its crest 3.0 divisions above the zero line. The oscilloscope is ideal and draws no current.
((a)) Find the period and the frequency of the two voltages.
((b)) Find the peak and root-mean-square values of the voltage of trace A.
((c)) Voltage A alone is applied across a resistor of resistance 60Ω whose resistance is constant. Find the mean power dissipated.
((d)) Find the phase difference between the two voltages, in degrees and in radians.