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Question
I1,I2 and I3 in the figure below are mesh currents. The current set of mesh equations for these currents, in matrix form, is
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Solution
The correct option is C ⎡⎢⎣3−1−2−13−1−2−13⎤⎥⎦⎡⎢⎣I1I2I3⎤⎥⎦=⎡⎢⎣V1V2−V3⎤⎥⎦
From inspection
3I1−I2−2I3=V1 ....(1)
−I1+3I2−I3=V2 ....(2)
−2I1−I2+3I3=−V3 ....(3)
⎡⎢⎣3−1−2−13−1−2−13⎤⎥⎦⎡⎢⎣I1I2I3⎤⎥⎦=⎡⎢⎣V1V2−V3⎤⎥⎦
From inspection
3I1−I2−2I3=V1 ....(1)
−I1+3I2−I3=V2 ....(2)
−2I1−I2+3I3=−V3 ....(3)
⎡⎢⎣3−1−2−13−1−2−13⎤⎥⎦⎡⎢⎣I1I2I3⎤⎥⎦=⎡⎢⎣V1V2−V3⎤⎥⎦
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