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Use mesh analysis to find current through 10Ω in the ckt shown
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Applying clockwise current in two meshes,

Applying Kirchhoff's Voltage Law to Mesh 1

10I125+1515(I1I2)=025I115I2=10...................(1)

Mesh 2 contains a current source of 5 A. Hence we can write current equation for Mesh 2. Since direction of the current source and the mesh current I2 are opposite, 

I2=5....................(2)

Solving equations (1) and (2), 

I1=3.4 AI10Ω=I1=3.4 A

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