2. There is an R-L-C series circuit that is connected to an AC source of constant voltage amplitude V whose angular frequency w is variable. (a) Find an expression for the current in the circuit I() = V/Z(w). [note: you need to find an expression for Z(w)] (b) Find an expression for the average power P(a) dissipated in the resistor R. (c) Suppose both I(w) and P(w) are at resonance. What is the value of the phase angle p at that resonance? (d) Find expressions for P(w) when w→0 and for P(w) when w→ co.

2. There is an R-L-C series circuit that is connected to an AC source of constant voltage amplitude V whose angular frequency w is variable. (a) Find an expression for the current in the circuit I() = V/Z(w). [note: you need to find an expression for Z(w)] (b) Find an expression for the average power P(a) dissipated in the resistor R. (c) Suppose both I(w) and P(w) are at resonance. What is the value of the phase angle p at that resonance? (d) Find expressions for P(w) when w→0 and for P(w) when w→ co.

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

Section: Chapter Questions

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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An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.
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