A 90-ohm resistor, a 32 mH inductor, and a 5 uF capacitor are connected in series across the terminals of a sinusoidal voltage source, vs = 125∠-60° V. If the angular velocity is ω = 5000 rad/s, find: a. The value of capacitance that yields a steady-state output current i with a phase angle of -105°. Express your answer in 2 decimals. b. The magnitude of the steady-state output current i. Express your answer in the nearest whole mA

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
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Problem 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...
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A 90-ohm resistor, a 32 mH inductor, and a 5 uF capacitor are connected in series across the terminals of a sinusoidal voltage source, vs = 125∠-60° V. If the angular velocity is ω = 5000 rad/s, find:

a. The value of capacitance that yields a steady-state output current i with a phase angle of -105°. Express your answer in 2 decimals.

b. The magnitude of the steady-state output current i. Express your answer in the nearest whole mA.

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