Q3. 5 points Use the mesh-current method to find the pha- sor current I in the circuit shown. Solution: 192 ww I 33.8/0 V j2 02 V. {302 202 0.75 V, -j5n 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) I₂ + (3 − j5) (Ia - Ib) and 0= (3- j5) (Ib — Ia) + 2(Ib - Ic). But V₂ = -j5(la - Ib), therefore Ic = -0.75[-j5(la - Ib)]. Solving for I = I₁ = 29+ j2 = 29.07/3.95° A.
Q3. 5 points Use the mesh-current method to find the pha- sor current I in the circuit shown. Solution: 192 ww I 33.8/0 V j2 02 V. {302 202 0.75 V, -j5n 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) I₂ + (3 − j5) (Ia - Ib) and 0= (3- j5) (Ib — Ia) + 2(Ib - Ic). But V₂ = -j5(la - Ib), therefore Ic = -0.75[-j5(la - Ib)]. Solving for I = I₁ = 29+ j2 = 29.07/3.95° A.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter7: Parallel Circuits
Section: Chapter Questions
Problem 4PP: Using the rules for parallel circuits and Ohmslaw, solve for the missing values....
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