An alternating emf source with a variable frequency fd is connected in series with a 50.0 resistor and a 20.0 mF capacitor. The emf amplitude is 12.0 V. (a) Draw a phasor diagram for phasor VR (the potential across the resistor) and phasor VC (the potential across the capacitor). (b) At what driving frequency fd do the two phasors have the same length? At that driving frequency, what are (c) the phase angle in degrees, (d) the angular speed at which the phasors rotate, and (e) the current amplitude?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 84PQ
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An alternating emf source with a variable frequency fd is
connected in series with a 50.0 resistor and a 20.0 mF capacitor.
The emf amplitude is 12.0 V. (a) Draw a phasor diagram for phasor
VR (the potential across the resistor) and phasor VC (the potential
across the capacitor). (b) At what driving frequency fd do the two
phasors have the same length? At that driving frequency, what are
(c) the phase angle in degrees, (d) the angular speed at which the
phasors rotate, and (e) the current amplitude?

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