Use the mesh-current method to find the magnitude of the power developed in the

Question

Use the mesh-current method to find the magnitude of the power developed in the dependent voltage source shown in the circuit below.

Let i1 be the mesh current circulating clockwise in the lower left hand mesh, i2 be the mesh current circulating clockwise in the lower right hand mesh, and i3 be the mesh current circulating clockwise in the upper mesh.
Find the three mesh currents.
i1 =  amperes.
i2 =  amperes.
i3 =  amperes.

Find the value of v3.
v3 =  volts.

Find the magnitude of the power developed by the dependent source.
|pdependent source| =  watts.

Explanation / Answer

apply kvl in loop 1 -150+7 i1+17(i1-i2)+3(i1-i3)=0 27 i1-3 i3-17 i2=150; apply kvl in loop2 17(i2-i1)+17i2-150+5(i2-i3)=0 apply kvl in loop 3 3(i3-i1)+5(i3-i2)=2.65v3*17(i1-i2)

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