Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 3, Problem 3.31P
To determine

The total charge within the region 1<r<2m,1<θ<2 rad,1<ϕ<2 rad using two different methods.

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With the aid of a phasor diagram show that the active power and power factor of a balanced three-phase load can be measured by two wattmeters. For a certain load, one wattmeter indicated 20 kW and the other 5 kW after the voltage circuit of this wattmeter had been reversed. Calculate the active power and the power factor of the load. ANS:  15 kW, 0.327
State the advantages to be gained by raising the power factor of industrial loads. A 400 V, 50 Hz, three-phase motor takes a line current of 15.0 A when operating at a lagging power factor of 0.65. When a capacitor bank is connected across the motor terminals, the line current is reduced to 11.5 A. Calculate the rating (in kVA) and the capa citance per phase of the capacitor bank for: (a) star connection; (b) delta connection. Find also the new overall power factor. ANS:  3.81 kvar, 70.5 µF, 23.5 µF, 0.848 lagging
A single wattmeter is used to measure the total active power taken by a 400 V, three-phase induction motor. When the output power of the motor is 15 kW, the efficiency is 88 per cent and the power factor is 0.84 lagging. The current coil of the wattmeter is connected in the yellow line. With the aid of a phasor diagram, calculate the wattmeter indication when the voltage circuit is connected between the yellow line and (a) the red line, (b) the blue line. Show that the sum of the two wattmeter indications gives the total active power taken by the motor. Assume the phase sequence to be R–Y–B. ANS: 11.7 kW, 5.33 kW

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Engineering Electromagnetics

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