Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 1, Problem 1.3Q
What is magnetizing intensity? What is magnetic flux density? How are they related?
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4.
A two-legged magnetic core with an air gap is shown in figure below. The depth
of the core is 5 cm, the length of the air gap in the core is 0.07 cm, and the
number of turns on the coil is 500. The magnetization curve of the core material
is shown next to it. Assume a 5 percent increase in effective air-gap area to
account for fringing. How much current is required to produce an air-gap flux
density of 0.5 T? What are the flux densities of the four sides of the core at that
current? What is the total flux present in the air gap?
10 cm
1.25
1.00
0.75
N- 500 tums
0.07 cm :
30 cm
0.50
0.25
10 cm
0.0
100
1000
30 cm
Magnetizing intensity, A turns/m
Depth = 5 cm
[0.00131 Wb, 0.524 T, 0.262 T, 1.46 A]
Flux density, T
Q1: Start from first principles to prove that: "For a fixed flux density, the volume of the ferromagnetic core is directly proportional to the energy stored in the magnetic field".
4. In this figure, considering the straight wire is very long, find the magnetic flux through the loop. If the
loop is directly pulled away from the wire, find the emf induced and the direction of induced current
in the loop.
a
a
Chapter 1 Solutions
Electric machinery fundamentals
Ch. 1 - What is torque? What role does torque play in the...Ch. 1 - What is Amperes law?Ch. 1 - What is magnetizing intensity? What is magnetic...Ch. 1 - How does the magnetic circuit concept aid in the...Ch. 1 - What is reluctance?Ch. 1 - What is a ferromagnetic material? Why is the...Ch. 1 - How does the relative permeability of a...Ch. 1 - Prob. 1.8QCh. 1 - What are eddy current losses? What can be done to...Ch. 1 - Why are all cores exposed to ac flux variations...
Ch. 1 - What is Faraday law?Ch. 1 - What conditions are necessary for a magnetic field...Ch. 1 - What conditions are necessary for a magnetic field...Ch. 1 - Prob. 1.14QCh. 1 - The linear machine in Figure 1-19 is running at...Ch. 1 - Just how does a decrease in flux produce an...Ch. 1 - Will current be leading or lagging voltage in an...Ch. 1 - What are real, reactive, and apparent power? What...Ch. 1 - What is power factor?Ch. 1 - Prob. 1.1PCh. 1 - A flywheel with a moment of inertia of 4kgm2 is...Ch. 1 - A force of 10 N is applied to a cylinder of radius...Ch. 1 - A motor is supplying 50Nm of torque to its load....Ch. 1 - A ferromagnetic core is shown in Figure P1-2. The...Ch. 1 - A ferromagnetic core with a relative permeability...Ch. 1 - A two-legged core is shown in Figure P1-4. The...Ch. 1 - A core with three legs is shown in Figure P1-5....Ch. 1 - A two-legged core is shown in Figure P1-4. The...Ch. 1 - A wire is shown in Figure P1-7 that is moving in...Ch. 1 - Repeat Problem 1-10 for the wire in Figure P1-8.Ch. 1 - Prob. 1.12PCh. 1 - A core with three legs is shown in Figure P1-10....Ch. 1 - A two-legged magnetic core with an air gap is...Ch. 1 - A transformer core with an effective mean path...Ch. 1 - The core shown in Figure P1-2 has the flux shown...Ch. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Demonstrate that Equation (1-59) can be derived...Ch. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - For the linear machine of Problem 1-22: When this...
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- The total conductor in the grooves of the DA in the figure is 1440 conductors, the length of the armature is 30 cm.The magnetic flux of a pole is 0.8 tesla and the armature rotates at 4 m / s. Find the voltage value produced by the armature according to the position in the figure.arrow_forward6) a) Current is generally defined with respect to ...b) Current in a wire is defined with respect to ...c) Derive how much current flows through a closed surface in the magnetostatic case. d) Derive magnetic flux through a closed surface for a non-magnetostatic case.arrow_forwardWhat is the fundamental cause of magnetic fields?arrow_forward
- Answer the following a. How does the relative permeability of a ferromagnetic material vary with magnetomotive force? b. How does a decrease in flux produce an increase in speed in a linear machine? c. Will current be leading or lagging voltage in an inductive load? Will the reactive power of the load be positive or negative? Explain in detail.arrow_forwardHow are eddy current losses affected by the frequency and density of the flux wave?arrow_forwardPlease please solvearrow_forward
- In figure, a magnetic flux of F is generated with a constant current of i. The core material used has a relative permeability of 4000. Assuming that the mean cross sectional area that the magnetic flux passing through in core is A=4 [cm2] and there is no fringing in air gap, N= 1000 turns and i=10 [A], lair=2 [mm]. what is the reluctance in air gap? what is the total reluctance? what are the flux and flux density in air gap? Remember: µ0 = 4πx10-7arrow_forwardIn figure, a magnetic flux of F is generated with a constant current of i. The core material used has a relative permeability of 4000. Assuming that the mean cross sectional area that the magnetic flux passing through in core is A=4 [cm2] and there is no fringing in air gap, N= 1000 turns and i=10 [A], lair=2 [mm]. what is the reluctance in air gap? what is the total reluctance? what are the flux and flux density in air gap? Remember: µ0 = 4πx10-7 Answers:Rair = ___________ [At/Wb]Rtotal = _________ [At/Wb]φ = ___________ [Wb]B = ________[T]arrow_forwardQuestion An air core toroid with 500 turns having a cross section area of 6 cm² and a mean radius of 15 cm is carrying a current of 5 A. What is the magnetic flux density at the mean radius?arrow_forward
- Problem 24. The eddy current loss in a magnetic material subjected to maximum flux density of 1.2 Wb/m², alternating sinusoidally at a frequency of 50 Hz is 1600 watts. Determine the eddy current loss when the maximum flux density is 1.5 Wb/m² and the frequency is 60 Hz.arrow_forwardExplain the Hysterisis loop in a magnetic circuit in detail.arrow_forwardPlease answer as soon as possible i need urjeent and with ou plagrism els i will give downvotesarrow_forward
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