Use the mesh-current method to find the steady-state

Question

Homework

The next problem(s) addresses the following course learning objective(s):

- Understand Phasor concepts and apply it to circuit analysis.
- Transform the AC circuits into frequency domain using Phasor concepts.

1. Problem 1

The phasor current I_a in the circuit shown in Fig. is 40 ∠0° mA.

a) Find I_b, I_c, and V_g.

b) If ω = 800 rad/s, write the expressions for i_b(t), i_c(t), and v_g(t).

Figure

Problem 2

Find I_b, and Z in the circuit shown in Fig. P9.32 V_g = 60 ∠0° V and I_a = 5 ∠ -90° A.

Figure

Problem 3

Use the node-voltage method to find the V_o and I_o in the circuit shown in Fig.

Figure

Problem 4

Use the node-voltage method to find the phasor voltage Vo in the circuit shown in Fig. P9.56. Express the voltage in both polar and rectangular form.

Figure

Problem 5

Use the mesh-current method to find the steady-state expression for vo(t) in the circuit.

v_g1 = 10 cos (5000t + 53.13°) V,
v_g2 = 8 sin 5000t V.

Figure

Problem 6

Use the mesh-current method to find the branch currents I_a, I_b, I_c, and Id in the circuit shown in Fig.

Figure

Problem 7

Use the mesh-current method to find the steady-state expression for v_o in the circuit seen in Fig. if v_g equals 72 cos 5000t V.

Figure.