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 1.9P
A two-legged core is shown in Figure P1-4. The winding on the left leg of the core
Assume
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Question: 01
A three-legged circular core is shown in figure below. The winding on the left leg of the
core (N) has 800 turns. The depth of the core is 10 cm. If the dimensions are as shown,
then determine the total reluctance of the given core when u, = 500 and constant.
15ст
N=800
50ст
Scm
15ст
60cm
20cm
A ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of
the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb.
With this current, what is the flux density at the top of the core? What is the flux density at the right side
of the core? Assume that the relative permeability of the core is 800.
1-5.
10 cm-
5em
20 em
15 cm
15 cm
15 cm
Coe depth - Scm
SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a
second region, and the right side forms a third region. If we assume that the mean path length of the flux
is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path
lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:
10. A potential difference of 250 V is applied to a field winding at 15-C and the current is 5 A. What will be the
temperature of the winding when current has fallen to 3.91 A applied voltage being constant. Assume temperature
coefficient at 15'C is equal to 1/254.5 per °C
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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- In a certain magnetic circuit, the core is represented two reluctances as shown below. Assume a relative permeability r = 2500, and a number of turns N = 420 turns. Find the current needed to produce a flux of 10 mWb in the core. Fi Select one: a. i 95 mA O b. i 0.95 A O c. i 0,226 A O d. i 9.5 mA Oe. None RI E =15624 A.t/Wb Rgap = 24.2 KA.t/Wbarrow_forwardQuestion: 01 A two-legged core is shown in figure below. The winding on the left leg of the core (N) has 800 turns. The depth of the core is 15 cm. The small airgap is 0.05 cm and there is no fringing effect. If the dimensions are as shown, then determine the total reluctance of the given core when u, =800 and constant. 15cm 25cm 10cm 10cm 50cm N=800 5cmarrow_forwardAn air core toroidal coil has 120 turns, the length is 12 cm and 12 sq. cm in area What is the current required to set up a flux of 1.2x10° weber. What is the current?arrow_forward
- Determine the total flux in the core as given in Figure Q1-3. [Answer: = µNih/ 2r[In (b/a)] a h b-a Narrow_forwardFor the figure shown below, the permeability in the core is 4 x 104 Wb/A-tums-m. What is the value of flux density (in T) in the core? 5 cm 60 turnsarrow_forwardProblem 1A core with a coil has 240 turns, to generate a flux ø of 0.008482 weber, how much should the current i1 be and what will its direction be? Relative permeabilities: metal 1 of 250 and metal 2 of 375. Core depth 25cmarrow_forward
- In a certain magnetic circuit, the core is represented two reluctances as shown below. Assume a relative permeability μr = 2500, and a number of turns N = 420 turns. Find the current needed to produce a flux of 15 mWb in the core. སྐ Select one: O a. i=142 mA O b.i=14.2 A c.i=1.42 A O d. None Clear my choice RI =15624 A.t/Wb Rgap = 24.2 KA.t/Wbarrow_forward3- A magnetic core with an air gap is shown in below Figure. The depth of the core is 3 cm, the length of the air gap in the core is 4 cm, and the number of turns on the coil is 100. How much current is required to produce total flux of 0.00052 Weber? (H= 2000, Ho=4.n107). 6 cm 20 cm N = 100 4 cm = lg 6 cm 6 cm 18 cm 12 cm 18 cm 6 ст Depth = 3 cmarrow_forwardferromagnetic core is shown in Figure P1-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 800. -10cm- -20 cm- 500 turns a. 670 kA t/Wb b. 330 kA t/Wb c. 500 kA t/Wb d. 256 kA t/Wb Core depth = 5 cm 15cm + 15cm 15cm 5 Earrow_forward
- Q1- The given ferromagnetic core relative permeability is 800. Determine the total reluctance of the core. 35 cm 10 cm 20 cm 5 cm 15 cm 45 cm 15 cm 15 cm 10 cmarrow_forwardIp Ep=40 V f = 60 Hz N₂= 20- N₁ = 120 Find the maximum flux om om = Find the magnitude of the induced secondary voltage Es Es = units + Is Es units If the coefficient of coupling (k)= 0.75, determine the magnitude of the induced secondary voltage Es Esk=0.75 = unitsarrow_forwardA magnetic circuit has a length of 100 cm and cross-sectional area of 5 square cm. The total flux is 10 x 104 webers. The coil has 100 turns and current of 4 amperes. What is the magnetic strength? a. 500 AT/m b. 400 AT/m c. 350 AT/m d. 450 AT/marrow_forward
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