Mesh analysis, 2 meshes 1 known current source

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The discussion revolves around a mesh analysis problem involving two meshes with a known current source. The user applies Kirchhoff's Voltage Law (KVL) to derive the current i1, calculating it as 1.56 A based on the given circuit parameters. However, the textbook provides a conflicting answer of 1.71 A, which the user suspects is a mistake not noted in the errata. Other participants in the discussion agree with the user's calculation, reinforcing the belief that the textbook contains an error. The consensus is that the calculated result of 1.56 A is correct.
mishima
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Homework Statement


Find i1 in the following figure, given: Vs=10V, I=1A, R1=5, R2=2, R3=4

prob.jpg


Homework Equations


KVL


The Attempt at a Solution


Applying KVL to mesh 1:
Vs-i1R1-(i1-i2)R3=0
and i2=I=1A
So,
i1=(Vs+i2R3)/(R1+R3)=(10+1*4)/(5+4)=14/9=1.56 A

But book gives answer as 1.71 A.
 
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I also get the same answer when doing node analysis. I think this is just a book error, not in the errata.
 
mishima said:
I also get the same answer when doing node analysis. I think this is just a book error, not in the errata.


Looks like a book error; I agree with your result.
 

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