a) Find the total impedance Z, in polar form. b) Draw the impedance diagram. c) Calculate the value of C in microfarads and L in Henries.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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1. In the following figure:
= 1 k)
R = 3 kN X; = 2 kM XC
+ VR
VL
VC
e =
6 sin(314t + 60°)
a) Find the total impedance Z, in polar form.
b) Draw the impedance diagram.
c) Calculate the value of C in microfarads and L in
Henries.
d) Find the current I and voltage VR, VL and Vc in
phasor form.
e) Draw the phasor diagram of the voltage E, VR, VL
and Vc and current I.
Verify the Kirchhoff's voltage law around the
closed loop.
g) Find the average power delivered to the circuit.
h) Find the power factor of the circuit, and indicate
whether it is leading or lagging.
i) Write the sinusoidal expressions for the voltages
and current.
Transcribed Image Text:1. In the following figure: = 1 k) R = 3 kN X; = 2 kM XC + VR VL VC e = 6 sin(314t + 60°) a) Find the total impedance Z, in polar form. b) Draw the impedance diagram. c) Calculate the value of C in microfarads and L in Henries. d) Find the current I and voltage VR, VL and Vc in phasor form. e) Draw the phasor diagram of the voltage E, VR, VL and Vc and current I. Verify the Kirchhoff's voltage law around the closed loop. g) Find the average power delivered to the circuit. h) Find the power factor of the circuit, and indicate whether it is leading or lagging. i) Write the sinusoidal expressions for the voltages and current.
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