1. The instantaneous voltage across a circuit element is v(t) = 678.8sin(@t-15) V, and the instantaneous current entering the positive terminal of the circuit element is i(t) = 200 cos(@t-5) A. Calculate (a) the instantaneous power absorbed by the element, (b) the real power (state whether it is delivered or absorbed), (c) the reactive power (state whether delivered or absorbed), (d) the power factor (state whether lagging or leading). 2. A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z = 2.0-45 measured from the terminals. The source current is i(t) = 4√2 cos(@t) A. Determine the (a) instantaneous power absorbed by the impedance, (b) real power absorbed by the impedance, (c) reactive power delivered by the source. (d) the source power factor. 3. The real power delivered by a source to two impedances Z₁ = 4+ j5 and Z₁ = 82 connected in parallel is 4000 W. Determine (a) the real power absorbed by each impedance. (b) the total source current Is.

1. The instantaneous voltage across a circuit element is v(t) = 678.8sin(@t-15) V, and the instantaneous current entering the positive terminal of the circuit element is i(t) = 200 cos(@t-5) A. Calculate (a) the instantaneous power absorbed by the element, (b) the real power (state whether it is delivered or absorbed), (c) the reactive power (state whether delivered or absorbed), (d) the power factor (state whether lagging or leading). 2. A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z = 2.0-45 measured from the terminals. The source current is i(t) = 4√2 cos(@t) A. Determine the (a) instantaneous power absorbed by the impedance, (b) real power absorbed by the impedance, (c) reactive power delivered by the source. (d) the source power factor. 3. The real power delivered by a source to two impedances Z₁ = 4+ j5 and Z₁ = 82 connected in parallel is 4000 W. Determine (a) the real power absorbed by each impedance. (b) the total source current Is.

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 2.16P: A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and...

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