Unformatted text preview: part) is connected across an AC voltage source of amplitude 10 V and frequency 60 Hz. What ʼ s the power dissipated over one cycle within the load? Comment: There are several ways to attack this problem. For definiteness, my solution started by choosing a specific phase of the voltage so it ʼ s a maximum at t=0. Then I wrote everything in complex form. For those not familiar with complex analysis: To find power, I used the identity that the timeaverage is ½ the real part of the product of a complex current amplitude times the complex conjugate of the voltage amplitude. See the discussion in the textbook pp. 3334 (especially the lower left column on p 34: notice the text speaks of “complex RMS amplitudes”) while my factor of ½ comes from using the full complex amplitudes. You can also of course find the time average by directly averaging over a complete cycle....
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 Winter '12
 LESLIEROSENBERG
 Work, Alternating Current, Electrical impedance, ac voltage, AC voltage source, Electric Circuits Laboratory, RC highpass filter

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