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grekin
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Homework Statement
Use the mesh-current method to find the power developed in the dependent voltage source in the circuit in figure (Figure 1) if v = 29V.
Homework Equations
∑R in mesh 1 * i_1 - ∑R in common between meshes 1 and 2 * i_2 = v_source in mesh 1
∑R in mesh 2 * i_2 - ∑R in common between meshes 1 and 2 * i_1 = v_source in mesh 2
P = i*v
The Attempt at a Solution
Putting mesh 1 on the top, mesh 2 on the left, and mesh 3 on the right, I have:
Mesh 1:
(3+5)*i_1 - 3*i_2 -5*i_3 = 53*i_delta
Mesh 2:
(3+20+7)*i_2 - 3*i_1 - 20*i_3 = 29
Mesh 3:
(5+20+2)*i_3 - 5*i_1 - 20*i_2 = 29
Aux:
i_2 = i_delta + i_3
Solving, I got i_1 = 2.09, i_2 = 4.25, i_3 = 4.61, and i_delta = -0.360
V_dependent = 53*i_delta = 110.77
P = i*V = 2.09 * 110.77 = -39.8 W (incorrect)
Any ideas?
EDIT: Solved it, just had a couple signs of the source voltages mixed up. P=43582.5 W
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