R = 3 N v.(t) = 325 cos 300t V C = 400 µF IL VL L = 2 mH Figure Q1 By referring to Figure Q1, answer the following questions. i. Find the respective reactance of the inductor, XL, and capacitor, Xc. marks) ii. Convert the voltage source from time domain, vs(t), to phasor domain, Vs. (The phasor domain needs to be in r.m.s). iii. Find the total impedance of the circuit. iv. Find vL(t) and iL(t) using Mesh analysis. (Show answer in peak value). Sketch the phasor diagram of VL and IL. V.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter17: Resistive-inductive Series Circuits
Section: Chapter Questions
Problem 2PP: Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the...
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Solve iv and v only
3:16
Instagram
=0.62
The capacitive reactance of the circuit can be
calculated as:
Xe
300x 400x 10-6
=8, 332
Therefore, the inductive and capacitive
reactance of the given circuit is 0.6 and 8.33
ohm respectively.
Part (ii).
The rms value of the source is:
325
Vrms=
=229. 81 volt
The angle of the source is 0 degree, in phasor
form it can be written as:
Vphasor=Vrms4(angle)
=229. 8120" volt
Therefore, in phasor form the voltage can be
written as 229. 8120° Volt.
Part (iii).
The total impedance of the above circuit can be
calculated as:
Zr=(R series jX1,) parallel (-jXc)
=(3+ j0. 6) parallel (-j8. 33)
(3+j0.6) x (- j8.33)
(3+j0.6) + (- j8.33)
=(3.028 – j0. 528)?
Transcribed Image Text:3:16 Instagram =0.62 The capacitive reactance of the circuit can be calculated as: Xe 300x 400x 10-6 =8, 332 Therefore, the inductive and capacitive reactance of the given circuit is 0.6 and 8.33 ohm respectively. Part (ii). The rms value of the source is: 325 Vrms= =229. 81 volt The angle of the source is 0 degree, in phasor form it can be written as: Vphasor=Vrms4(angle) =229. 8120" volt Therefore, in phasor form the voltage can be written as 229. 8120° Volt. Part (iii). The total impedance of the above circuit can be calculated as: Zr=(R series jX1,) parallel (-jXc) =(3+ j0. 6) parallel (-j8. 33) (3+j0.6) x (- j8.33) (3+j0.6) + (- j8.33) =(3.028 – j0. 528)?
R = 3 N
v-(t) = 325 cos 300t V
C = 400 µF
V.
L = 2 mH
Figure Q1
By referring to Figure Q1, answer the following questions.
i.
Find the respective reactance of the inductor, XL, and capacitor, Xc.
(marks)
ii.
Convert the voltage source from time domain, vs(t), to phasor domain, Vs. (The phasor
domain needs to be in r.m.s).
ii.
Find the total impedance of the circuit.
iv.
Find vz(t) and iL(t) using Mesh analysis. (Show answer in peak value).
Sketch the phasor diagram of VL and IL.
V.
Transcribed Image Text:R = 3 N v-(t) = 325 cos 300t V C = 400 µF V. L = 2 mH Figure Q1 By referring to Figure Q1, answer the following questions. i. Find the respective reactance of the inductor, XL, and capacitor, Xc. (marks) ii. Convert the voltage source from time domain, vs(t), to phasor domain, Vs. (The phasor domain needs to be in r.m.s). ii. Find the total impedance of the circuit. iv. Find vz(t) and iL(t) using Mesh analysis. (Show answer in peak value). Sketch the phasor diagram of VL and IL. V.
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