Use the mesh-current method to find the pha- sor current I in the circuit shown. 1Ω j2 Ω Σ3Ω 20 0.75 Vx +33.8/0° V + Vx2 --j5 Ω

Introductory Circuit Analysis (13th Edition)
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it is not graded,its a simple textbook problem.

how do you calculate Vx and Ic?

Assessment Problem 9.13
Use the mesh-current method to find the pha-
sor current I in the circuit shown.
1Ω j2 Ω
W
Σ3Ω
33.8/0°
V
2 Ω
220$ 0.75 V.(
V₂
X
+
T
-
V x − j5Q
Transcribed Image Text:Assessment Problem 9.13 Use the mesh-current method to find the pha- sor current I in the circuit shown. 1Ω j2 Ω W Σ3Ω 33.8/0° V 2 Ω 220$ 0.75 V.( V₂ X + T - V x − j5Q
Assessment Problem 9.13
AP 9.13 Let Ia, Ib, and Ic be the three clockwise mesh currents going from left to
right. Summing the voltages around meshes a and b gives
33.8 = (1 + j2) Ia + (3 − j5) (Ia — Ib)
and
0= (3-j5) (Ib − Ia) + 2(Ib − Ic).
But
V = -j5(Ia - Ib),
x
therefore
Ic = -0.75[-j5(Ia — Ib)].
Solving for I = I₁ = 29+j2 = 29.07/3.95° A.
Transcribed Image Text:Assessment Problem 9.13 AP 9.13 Let Ia, Ib, and Ic be the three clockwise mesh currents going from left to right. Summing the voltages around meshes a and b gives 33.8 = (1 + j2) Ia + (3 − j5) (Ia — Ib) and 0= (3-j5) (Ib − Ia) + 2(Ib − Ic). But V = -j5(Ia - Ib), x therefore Ic = -0.75[-j5(Ia — Ib)]. Solving for I = I₁ = 29+j2 = 29.07/3.95° A.
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