- #1

ttiger2k7

- 58

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## Homework Statement

Use mesh analysis to find [tex]i_{x}[/tex].

http://img16.imageshack.us/img16/3384/circuitwd7.jpg

Where [tex]R_{1}[/tex] = 100 ohms , [tex]R_{2}[/tex] = 50, [tex]R_{3}[/tex] =100, R_4 = 220, and [tex]R_{5}[/tex] = 470. [tex]V_{s}[/tex] = 15 V.

## Homework Equations

[tex]V = iR[/tex]

[tex]\Sigma V=0[/tex]

## The Attempt at a Solution

First of all, the current orientation of the left ([tex]i_{1}[/tex]) and middle ([tex]i_{x}[/tex]) loops are clockwise, and the right ([tex]i_{2}[/tex]) loop current is counter clockwise.

Step 1) Finding [tex]i_{1}[/tex] and [tex]i_{2}[/tex]

[tex]i_{1}[/tex] = 15/100 = .15 A

[tex]i_{2}[/tex] = 9/100 = .09 A

Step 2) Mesh Analysis

[tex]i_{x}*50+(i_{x}+i_{2})*470+(i_{x}-i_{1})*220=0[/tex]

[tex]i_{x}*50+(i_{x})*470+(.09)(470)+(i_{x})*220+(.15)(220)=0[/tex]

[tex]740i_{x}+9.3=0[/tex]

[tex]i_{x} = -.0125 A[/tex]

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The only thing that is bothering me is that I am getting an negative answer. Is this the correct answer using mesh analysis? Thank you.

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