Question

R1 = 5.79 ?, R2 = 10.3 ?, and R3 = 15.1 ?, Vemf,1 = 12.1 V, and Vemf,2 = 15.9 V. Using...

In the circuit shown in the figure, R1 = 5.79 Ω, R2 = 10.3 Ω, and R3 = 15.1 Ω, Vemf,1 = 12.1 V, and Vemf,2 = 15.9 V. Using Kirchhoff's Loop and JunctionRules, determine the following currents:

a) Current i1 flowing through resistor R1 in the direction indicated in the figure.

b) Current i2 flowing through resistor R2 in the direction indicated in the figure

c) Current i3 flowing through resistor R3 in the direction indicated in the figure.

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Answer #1
From the figure
i3 = i1 + i2
In the upper loop,
5.79 i1- 10.3 i2= 12.1------------1

In the lower loop,
10.3 i2 + 15.1 i3= 15.9
10.3 i2+ 15.1 i1+ 15.1 i2= 15.9
15.1 i1+ 25.4 i2= 15.9-----------------2

Solving 1 and 2

i1 = 1.557A
i2= - 0.30 A
Minus sign indicates that the arrow in the figure has to be changed.
i3 = 1.557-0.3 =1.256A
answered by: sanjana
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