Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 11P
a. Find the number of turns N1 required to establish a flux
b. Find the permeability
Fig. 12.38
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1. A solenoid 20 cm long is wound with 300 turns of wire and carries a current of 1.5 A. What is the approximate relative permeability of this core so as to produce a magnetic field of 0.6 T inside?
A. 225
B. 212
C. 210
D. 280
8. Two coils have inductance of 4 mH and 9 mH and coefficient of coupling is 0.50. If the two coils are connected in series opposing, the total inductance will be
A. 10 mH
B. 8 mH
C. 9 mH
D. 7 mH
A flux of 0.0016 Wb flows in a silicon sheet steel coil/core. The arrangement appears as shown below
with the following dimensions:
Ac = 0.0025 m?
Core/gap area:
Flux path length:
le = 0.350 m
lg = 0.0015 m
N = 500
Air gap length:
Number of turns:
%3D
A. What is the current, I, through the winding?
B. What is the energy stored in the inductance?
C. Assume that the current is given by i =9.75 sin (3147) A. What is the RMS voltage that would
appear across the winding?
D. Assume that the gap is removed from the arrangement with the flux path remaining at 0.350 m. For a
flux of 0.0016 Wb, what is the inductance of the arrangement?
E. What is the energy stored in the inductance with the gap removed?
Chapter 12 Solutions
Introductory Circuit Analysis (13th Edition)
Ch. 12 - Using Appendix E, fill in the blanks in the...Ch. 12 - Repeat Problem 1 for the following table if...Ch. 12 - For the electromagnet in Fig. 12.34 a. Find the...Ch. 12 - Which section of Fig. 12.35-(a), (b), or (c)-has...Ch. 12 - Find the reluctance of a magnetic circuit if a...Ch. 12 - Prob. 6PCh. 12 - Find the magnetizing force H for Problem 5 in SI...Ch. 12 - If a magnetizing force H of 600 At/m is applied to...Ch. 12 - For the series magnetic circuit in Fig. 12.36,...Ch. 12 - Find the current necessary to establish a flux of...
Ch. 12 - a. Find the number of turns N1 required to...Ch. 12 - a. Find the mmf (NI) required to establish a flux...Ch. 12 - For the series magnetic circuit in Fig.12.40 with...Ch. 12 - a. Find the current I required to establish a flux...Ch. 12 - Prob. 15PCh. 12 - Determine the current I1 required to establsh a...Ch. 12 - a. A flux of 0.210-4Wb will establish sufficient...Ch. 12 - For the series-parallel magnetic circuit in Fig....Ch. 12 - Find the magnetic flux established in the series...Ch. 12 - Prob. 20PCh. 12 - Note how closely the B-H curve of cast steel in...
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- An electromagnet shown below has a cross section area of 10 cm2 with a mean length of iron path of 100cm and mean length of airgap is 0.4cm . It is excited by a coil of 1000 turns of conductor windings. When a current of 1A is provided to the coil and the relative permeability of iron is 1300, then find the magnetic flux in the circuit. Select one: Oa. 1.25Wb O b. None of these Oc.0.00027Wb O d. 027W.arrow_forward5) The symmetric magnetic circuit of Fig. 1.36 has three windings. Windings A and Beach have N turns and are wound on the two bottom legs of the core. The core dimensions are indicated in the Figure 2. i) Find the self-inductances of each of the windings. ii) Find the mutual inductances between the three pairs of windings. Find the voltage induced in winding 1 by time-varying currents i(t) and i(t) in windings A and B. Show that this voltage can be used to measure the imbalance between two sinusoidal currents of the same frequency. 111) N turns 1½ N₁ turns +100+ N turns Core: Area Ac Permeability Figure 2 Magnetic circuit for Q 5arrow_forward1. A magnetic circuit constructed of sheet steel has an average length of 1.5 m and cross sectional area of 0.025 m². A 50 turns coil wound on the ring has a resistance of 0.8 Q and draws 4 A from A DC supply. The relative permeability is 5000. Determine a) The flux density. b) Voltage applied. c) If the material is replaced with another material with a relative permeability of 3000 and keeping the other parameters as it is then calculate the new flux and explain what happened.arrow_forward
- A coil with 150 turns is wound over a 200 cm a cylinder iron core whose relative permeability is 250. If a current of 2 A is pass through the coil, determine the flux density in the core. a. 0.04 T b. 0.07 T c. 0.12 T d. 0.10 Tarrow_forward1. What is the reluctance of 10 cm diameter silicon steel of 2500 permeability with a mean length of 20 cm? A. 0.000201 cgs B. 0.000102 cgs C. 0.000212 cgs D. 0.000123 cgs 2. At what rate the flux must be varied to measure 12 V across the terminal of 300 turns coil? A. 0.05 Wb/s B. 0.04 Wb/s C. 0.03 Wb/s D 0.02 Wb/sarrow_forwardA coil with 150 turns is wound over a 200 cm a cylinder iron core whose relative permeability is 250. If a current of 2 A is pass through the coil, determine the flux density in the core.arrow_forward
- Consider an iron ring of 10 cmdiameter is uniformly wounded with 3000 turns of wire. The coil current is 0.25 A and a flux density of 0.6 T is set in the ring. Determine the relative permeability of the iron and magnetic field strength.arrow_forward11. There is 900 mA of current through a wire with 40 turns. What is the reluctance of the circuit if the flux is 400Wb? 14,400 At/Wb B 1,440 At/Wb Ⓒ9,000 At/Wb O90,000 At/Wb Answer: Option O Explanation: No answer description is available. Let's discuss.arrow_forwardBiot-Savart law expresses the magnetic flux intensity produced by a dc electrical current Select one: O a. True b. None of the above O c. Falsearrow_forward
- 1. Determine the force in pounds upon each side of a coil of 40 turns carrying a current of 15 A if the axial length of the coil is 10 inch and flux density is 20,000 lines per square inch. The conductors are at right angles to the flux.? 2. Two coupled coils with L1= 20 mH, L2 = 10mH and k = 0.5 are connected in series opposing. Determine the total inductance.?arrow_forward4. If the Core of an Electromagnet is made of Permalloy (check the Tables for Relative Permeability) and has a 250 turn coil. The cross section has dimensions of 3 cm by 4.5 cm, and the average path length is 10 cm. Determine the amount of Flux that will be developed when a Current of 350 mA flow in the coil.arrow_forwardA coil of moving instrument is wound with 250 turns of wire. The flux density in the gap is 0.085 Tesla and the effective length of the coil side in the air gap is 5cm. Find the force doing acting on each coil side when carrying current of 60mA? In Dynesarrow_forward
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