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Find the voltage across the capacitor and resistor

Find the voltage across the capacitor and resistor

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Find the voltage across the capacitor and resistor

For an AC circuit shown in the figure, w = 104 rad sec C = 10 µF, R = 10 N and |3D vs (t) = Vo cos(wt) [V]. Solve the circuit using the phasor method when Vo = 16.97 V. %3D %3D R a) ZR b) + VR - + V, R. Vs(t) Vc C Vs Lc i(t) The following steps can be used: 1. Convert the circuit to the phasor form (draw the corresponding figure). 2. Find complex impedances of the resistor and capacitor, Zr, Zc and then find equivalent circuit impedance Zeg- Convert Zeg to its polar form. 3. Solve the resulting "DC circuit" in the phasor form and find phasor current I and phasor voltages VR, Vc (show units). 4. Construct the phasor diagram for phasor voltages. Label them as VR, Vc, Vs. 5. Go back to the "real world" and restore voltages across the resistor and the capacitor in the form v (t) = Vm cos(wt + $) [V] and the circuit current in the form i(t) = Im cos(wt + ø) [A]. %3D Express the magnitude in volts or amperes and the phase angle in degrees. Keep three significant figures.
Transcribed Image Text:For an AC circuit shown in the figure, w = 104 rad sec C = 10 µF, R = 10 N and |3D vs (t) = Vo cos(wt) [V]. Solve the circuit using the phasor method when Vo = 16.97 V. %3D %3D R a) ZR b) + VR - + V, R. Vs(t) Vc C Vs Lc i(t) The following steps can be used: 1. Convert the circuit to the phasor form (draw the corresponding figure). 2. Find complex impedances of the resistor and capacitor, Zr, Zc and then find equivalent circuit impedance Zeg- Convert Zeg to its polar form. 3. Solve the resulting "DC circuit" in the phasor form and find phasor current I and phasor voltages VR, Vc (show units). 4. Construct the phasor diagram for phasor voltages. Label them as VR, Vc, Vs. 5. Go back to the "real world" and restore voltages across the resistor and the capacitor in the form v (t) = Vm cos(wt + $) [V] and the circuit current in the form i(t) = Im cos(wt + ø) [A]. %3D Express the magnitude in volts or amperes and the phase angle in degrees. Keep three significant figures.
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