Question

Solve by MATLAB, and PSPICE at omega = 1 rad/s.

Prob#9 Find Vo by nodal analysis. 126o v 2.00 A 1.0 3Ω -j2 Ω

Answer 1

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So only this part of circuit is useful V_+ 12 angle 30 nodal Analysis at node (1) I = I_1 + I_2 V_0 + 12 angle 30 - V/1 = V/j + V - V_0/3 V_0 + V_0/3 + 12 angle 30 = V/j + V + V/3 2 V_0/3 + 12 angle 30 = V[4/3 - j^^] equation (1) \r\n 12 angle 30 - I - (I - I_1)3 = 0 12 angle 30 = -3I_1 implies 12 angle 30 = -3 times V/j V = -4j angle 30 = -4j(cos 30 + j sin 30) = -4j(squareroot 3/2 + j 1/2) V = (-2 squareroot 3j + 2) putting in equation (1) 4V_0/3 + 12[cos 30 + j sin 30] = (-2 squareroot 3 j + 2)(4/3 - j) 4V_0/3 + 12[squareroot 3/2 + j/2] = -8/squareroot 3 j - 2 squareroot 3 + 8/3 - 2j 4V_/3 = -6 squareroot 3 - 6j + (-8/squareroot 3 - 2)j - (2 squareroot 3 - 8/3) 4/3 V_0

We can also solve this question using laplace transformation..

If you know laplace transformation then I will solve by laplace transform...