a) Derive the total impedance, ZT, of the parallel RLC components. Express it in complex form. b) Determine the current I. Express the current in complex form. c) Determine the magnitude of the current, [I], and the phase angle of the circuit.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question 2
A parallel RLC circuit has a 20 2 non-reactive resistor, a coil of inductance of 0.1 H with
negligible resistance, and a 470 µF capacitor, as shown in Figure Q2. The circuit is supplied
with an a.c. source, V, with an instantaneous voltage of,
v(t) = 240 cos (314.16t+)
↓
IL
Figure Q2
a) Derive the total impedance, ZT, of the parallel RLC components. Express it in complex
form.
b) Determine the current I. Express the current in complex form.
c) Determine the magnitude of the current, [I], and the phase angle of the circuit.
d) Determine the voltage IR, IL, and Ic. Express them in complex form.
e) Sketch the phasor diagram for V, I, IR, IL, and Ic. Indicate the phase angle of all the
components.
f) Tune the circuit's phase angle to -45°.
*The phase angle of a circuit is the phase difference between the voltage and the current.
www
R1
ܚܚ
L1
la ↓
H
C1
Transcribed Image Text:Question 2 A parallel RLC circuit has a 20 2 non-reactive resistor, a coil of inductance of 0.1 H with negligible resistance, and a 470 µF capacitor, as shown in Figure Q2. The circuit is supplied with an a.c. source, V, with an instantaneous voltage of, v(t) = 240 cos (314.16t+) ↓ IL Figure Q2 a) Derive the total impedance, ZT, of the parallel RLC components. Express it in complex form. b) Determine the current I. Express the current in complex form. c) Determine the magnitude of the current, [I], and the phase angle of the circuit. d) Determine the voltage IR, IL, and Ic. Express them in complex form. e) Sketch the phasor diagram for V, I, IR, IL, and Ic. Indicate the phase angle of all the components. f) Tune the circuit's phase angle to -45°. *The phase angle of a circuit is the phase difference between the voltage and the current. www R1 ܚܚ L1 la ↓ H C1
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