(a) There are three nodes in the circuit of Fig. 21 labelled (1), (2), and (3). Choose one of these nodes as ground and write down the node-voltage equation(s) necessary to determine the voltage v₁ across the lighting system. Note: You do NOT need to solve the equation(s). (b) (i) By means of superposition, determine the contribution and its polarity made by the 3 A current source to the voltage v₁ across the lighting system. (ii) By means of superposition, determine the contribution and its polarity made by the 6 V voltage source to the voltage v₁ across the lighting system. (iii) Based on your answers to Q21(b)(i) and Q21(b)(ii), determine the voltage V₁ and its polarity across the lighting system.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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21. A lighting system with an equivalent input resistance of R₁ = 2 is powered by a
supply circuit as shown in Fig. 21.
↑ 3 A
Supply Circuit
502
(2)
(1)
4 Ω
6 V
(3)
Lighting System
R₁
ΖΩ
Fig. 21: An electrical lighting system.
VL
(a) There are three nodes in the circuit of Fig. 21 labelled (1), (2), and (3).
Choose one of these nodes as ground and write down the node-voltage equation(s)
necessary to determine the voltage v₁ across the lighting system.
Note: You do NOT need to solve the equation(s).
(b) (i) By means of superposition, determine the contribution and its polarity made
by the 3 A current source to the voltage v₁ across the lighting system.
(ii) By means of superposition, determine the contribution and its polarity made
by the 6 V voltage source to the voltage v₁ across the lighting system.
(iii) Based on your answers to Q21(b)(i) and Q21(b)(ii), determine the voltage V₁
and its polarity across the lighting system.
Transcribed Image Text:21. A lighting system with an equivalent input resistance of R₁ = 2 is powered by a supply circuit as shown in Fig. 21. ↑ 3 A Supply Circuit 502 (2) (1) 4 Ω 6 V (3) Lighting System R₁ ΖΩ Fig. 21: An electrical lighting system. VL (a) There are three nodes in the circuit of Fig. 21 labelled (1), (2), and (3). Choose one of these nodes as ground and write down the node-voltage equation(s) necessary to determine the voltage v₁ across the lighting system. Note: You do NOT need to solve the equation(s). (b) (i) By means of superposition, determine the contribution and its polarity made by the 3 A current source to the voltage v₁ across the lighting system. (ii) By means of superposition, determine the contribution and its polarity made by the 6 V voltage source to the voltage v₁ across the lighting system. (iii) Based on your answers to Q21(b)(i) and Q21(b)(ii), determine the voltage V₁ and its polarity across the lighting system.
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