Question 1 A series RLC circuit has a 20 non-reactive resistor, a coil of inductance 0.1 H with negligible resistance, and a 470 µF capacitor, as shown in Figure Q1. The circuit is supplied with an a.c. source, V, with an instantaneous voltage of, TT v(t) = 240 cos (314.16t + R1 L1 C1 www + V₁ - + Vc Figure 1 a) Derive the total impedance, ZT, of the series 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, III, and the phase angle of the circuit. + VR
Question 1 A series RLC circuit has a 20 non-reactive resistor, a coil of inductance 0.1 H with negligible resistance, and a 470 µF capacitor, as shown in Figure Q1. The circuit is supplied with an a.c. source, V, with an instantaneous voltage of, TT v(t) = 240 cos (314.16t + R1 L1 C1 www + V₁ - + Vc Figure 1 a) Derive the total impedance, ZT, of the series 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, III, and the phase angle of the circuit. + VR
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter20: Capacitance In Ac Circuits
Section: Chapter Questions
Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...
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![Question 1
A series RLC circuit has a 20 non-reactive resistor, a coil of inductance 0.1 H with
negligible resistance, and a 470 µF capacitor, as shown in Figure Q1. The circuit is supplied
with an a.c. source, V, with an instantaneous voltage of,
v(t) = 240 cos (314.16t +
R1
L1
C1
+ VR
+ V₁
+ Vc
V
Figure 1
a) Derive the total impedance, ZT, of the series 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 VR, VL, and Vc. Express them in complex form.
e) Sketch the phasor diagram for I, V, VR, VL, and Vc. Indicate the phase angle of all the
components.
f) If the coil has a resistance of 3 , determine the phase angle of the circuit.
*The phase angle of a circuit is the phase difference between the voltage and the current.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3144732-cd8e-4d15-8b5e-c18450259e48%2F6b1fd54a-6522-450f-a66e-fb23af2eb94d%2Fxzt152b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
A series RLC circuit has a 20 non-reactive resistor, a coil of inductance 0.1 H with
negligible resistance, and a 470 µF capacitor, as shown in Figure Q1. The circuit is supplied
with an a.c. source, V, with an instantaneous voltage of,
v(t) = 240 cos (314.16t +
R1
L1
C1
+ VR
+ V₁
+ Vc
V
Figure 1
a) Derive the total impedance, ZT, of the series 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 VR, VL, and Vc. Express them in complex form.
e) Sketch the phasor diagram for I, V, VR, VL, and Vc. Indicate the phase angle of all the
components.
f) If the coil has a resistance of 3 , determine the phase angle of the circuit.
*The phase angle of a circuit is the phase difference between the voltage and the current.
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