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in Mathematics by kratos

Find Mesh currents i1 and i2 in the electric circuit of Fig.

1 Answer

+6 votes
by kratos
 
Best answer

Mark the nodes as shown in Fig..

Treat O as the reference node.

From the dependent current source of 3i1 amp between B and O,

i2 −i1 = 3i1 or 4i1 = i2 ...(a)

VB is related to VA, VC and the voltage across resistors concerned

VB = VA −i1 × 1 = 4 − i1 VB = VC + i2 × 2 = 3 + 2i2 Hence 4 −i1 = 3 + 2i2 ...

(b) From equations (a) and (b) above, i1 = 1/9 amp and i2 = 4/9 amp

Substituting these, VB = 35/9 volts

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