Five infinite-impedance voltmeters, calibrated to read RMS values, are connected
ID: 1272390 • Letter: F
Question
Five infinite-impedance voltmeters, calibrated to read RMS values, are connected as shown. NOTE: for sinusoidal currents and voltages, RMS values are equal to maximum values (amplitudes) divided by the square root of two. The given values are R = 180.0 ohms, L = 0.430 H , and C = 5.50 ?F. The amplitude of the generator EMF is 40.0 V.
(a) What is the reading of each voltmeter if the angular frequency of the AC generator is 270.0 rad/s? HINT: Remember that the voltmeters read RMS values.
the reading of voltmeter 1: 8.694 V
the reading of voltmeter 2: 5.608 V
the reading of voltmeter 3: 32.5253 V
the reading of voltmeter 4: 26.9173 V
the reading of voltmeter 5: 28.2843 V
(b) For the angular frequency used in part (a), consider the actual instant of time at which the EMF of the generator is +20.000 V and increasing. At this particular instant of time, what are the actual voltages across the passive circuit elements, or combinations of those elements? HINT: recall that the sum of the voltages of the passive elements must equal the generator EMF at every instant of time.
voltage across the resistor: V
voltage across the inductor: V
voltage across the capacitor: V
voltage across the inductor-capacitor combination: V
Explanation / Answer
Capacitive Reactance Xc = 1/(2?fC) = 1/?C
Inductive Reactance X? = 2?fL = ?L
Impedance Z = ?(R
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