Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Question
Chapter 3, Problem 3.31P
To determine
The total charge within the region
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Students have asked these similar questions
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
Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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