Determine, for the lamps (incandescent and fluorescent) and motor, (a) the total current, (b) the overall power factor, and (c) the total power. (d) Find the value of the static capacitor to improve the overall power factor to 0.975 lagging.

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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A 250V, 50 Hz single-phase supply feeds the following loads (i) incandescent lamps taking a current of 10A at unity power factor, (ii) fluorescent lamps taking 8A at a power factor of 0.7 lagging, (iii) a 3 kVA motor operating at full load and at a power factor of 0.8 lagging, and (iv) a static capacitor. Determine, for the lamps (incandescent and fluorescent) and motor, (a) the total current, (b) the overall power factor, and (c) the total power. (d) Find the value of the static capacitor to improve the overall power factor to 0.975 lagging.

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