Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 12P
a. Find the mmf (NI) required to establish a flux
b. Find the permeability of each material.
Fig. 12.39
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Students have asked these similar questions
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.
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.
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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- Biot-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_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_forwardIn a magnetic circuit, the property by which the flux generated in the core of the circuit is resisted or opposed is called Select one: O a. Flux density O b. Reluctivity O c. Permittivity O d. None of thesearrow_forward
- 1.23 The symmetric magnetic circuit of Fig. 1.33 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. a. Find the self-inductances of each of the windings. b. Find the mutual inductances between the three pairs of windings. c. Find the voltage induced in winding 1 by time-varying currents iA (t) and iB (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. LA N turns 1½ N₁ turns 8 N turns Core: Area Ac Permeability Figure 1.33 Symmetric magnetic circuit for Problem 1.23.arrow_forwardF.) An iron core has a cross-sectional area of 10^(-3) square meter and mean circumference of 1 meter. The relative permeability of the material is 500 and the number of turns is 200. Determine the current required to set up a flux of 0.001 weber. a. 7.54 A b. 7.96 A c. 8.19 A d. 8.47 Aarrow_forwardShow the complete solution. 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 mHarrow_forward
- 4. 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 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_forward4. Consider a coil of wire wrapped around an iron core. If the flux in the core is given by the equation o = 0. 5sinwtWb and if there are 200 turns on the core, what voltage is produced at the terminals of the coil?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.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_forwardProblem # 2: For the magnetic circuit shown in the figure:1. Calculate the current I that will develop a magnetic flux of 1.2 mWb.2. Calculate the magnetic permeability μ and the relative magnetic permeability μr of the material under the aboveconditions.arrow_forward
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