4. Consider the following circuit that contains two batteries and three resistors. Rị h- R3. R2 12 a. Use Kirchhoff's first rule-that AV = 0 around a closed loop-to obtain some equations relating the currents. How many independent equations do you find? b. Use Kirchhoff's second rule-that l; = 0 at any node-to obtain some further equations relating the currents. How many independent equations do you find? c. Now solve these equations to determine l1, l2, and 13 in terms of the emfs and the resis- %3D tances.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4. Consider the following circuit that contains two batteries and three resistors.
R1 1-
R34
R2 12
13
E2
E1
a. Use Kirchhoff's first rule-that AV = 0 around a closed loop-to obtain some equations
relating the currents. How many independent equations do you find?
b. Use Kirchhoff's second rule-that l; = 0 at any node-to obtain some further equations
relating the currents. How many independent equations do you find?
c. Now solve these equations to determine 1, 12, and 13 in terms of the emfs and the resis-
%3D
tances.
Transcribed Image Text:4. Consider the following circuit that contains two batteries and three resistors. R1 1- R34 R2 12 13 E2 E1 a. Use Kirchhoff's first rule-that AV = 0 around a closed loop-to obtain some equations relating the currents. How many independent equations do you find? b. Use Kirchhoff's second rule-that l; = 0 at any node-to obtain some further equations relating the currents. How many independent equations do you find? c. Now solve these equations to determine 1, 12, and 13 in terms of the emfs and the resis- %3D tances.
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