Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 3.47P
To determine
The magnetic flux density of the square loop.
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4. A magnetic circuit has a length of 100 cm and cross-sectional area of 5 square cm. The total flux
is 10 x 10* 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/m
For the magnetic circuit shown in the figure, the iron core with N = 500 turns -Magnetic permeability is 200. its average length is 40 cm -The diameter of the cross-sectional area is 1 cm. Find the current that must pass through the winding to produce 0.5 mWb of flux in a 1mm air-gap magnetic circuit?
The length of a magnetic circuit in a moving iron instrument is 300mm.The coil around the soft iron core has 360 turns and takes a current of 1.75A.The core is square in section with sides of 20mm.Take the relative permeability of soft iron as 1100. Determine the magnetomotive force in the core. Determine the field strength. Determine the flux density. Determine the total flux.
Chapter 3 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 3 - Find AB for the following: A=2ax3ay+4az,B=5ay1az...Ch. 3 - Prob. 3.2PCh. 3 - Given the vertices of a triangle...Ch. 3 - A segment of conductor on the z–axis extends...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - A square conductive loop in the shape 10.0 cm is...Ch. 3 - A conductive loop in the x–y plane is bounded by...Ch. 3 - How close do you have to be to the middle of a...Ch. 3 - For the ring of current described in MATLAB 3.2,...
Ch. 3 - A solenoid has 200 turns, is 10.0 cm long, and has...Ch. 3 - For the solenoid of the previous problem, plot the...Ch. 3 - Prob. 3.13PCh. 3 - Two infinite extent current sheets exist at z=2.0m...Ch. 3 - An infinite extent current sheet with K=6.0ayA/m...Ch. 3 - Given the field H=3y2ax, find the current passing...Ch. 3 - Given a 3.0–mm–radius solid wire centered on...Ch. 3 - Given a 2.0–cm–radius solid wire centered on...Ch. 3 - An infinitesimally thin metallic cylindrical shell...Ch. 3 - A cylindrical pipe with a 1.0–cm wall thickness...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Consider the toroid in Figure 3.55 that is tightly...Ch. 3 - Find A for the following fields: A=3xy2/zax...Ch. 3 - Find J at (3m,60,4m) for H=(z/sin)a(2/cos)azA/mCh. 3 - Suppose H=y2ax+x2ayA/m .(a) Calculate HdL around...Ch. 3 - Prob. 3.27PCh. 3 - Suppose you have the field H=rcosaA/m. Now...Ch. 3 - Prob. 3.29PCh. 3 - Suppose an infinite extent sheet of current with...Ch. 3 - Prob. 3.31PCh. 3 - A 1.0nC charge with velocity 100.m/s in the y...Ch. 3 - A 1.0nC charge with velocity 100.m/s in the z...Ch. 3 - A 10.nC charged particle has a velocity...Ch. 3 - What electric field is required so that the...Ch. 3 - An electron (with rest mass Me=9.111031kg and...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Suppose you have a pair of parallel lines each...Ch. 3 - In Figure 3.57, a 2.0-A line of current is shown...Ch. 3 - Modify MATLAB 3.4 to find the differential force...Ch. 3 - Prob. 3.43PCh. 3 - A square loop of 1.0-A current of side 4.0 cm is...Ch. 3 - A current sheet K=100axA/m exists at z=2.0cm. A...Ch. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - A solid nickel wire of diameter 2.0 mm evenly...Ch. 3 - Prob. 3.49PCh. 3 - The plane y = O separates two magnetic media....Ch. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - In Figure 3.59, a 2.0-cm-diameter toroidal core...Ch. 3 - Suppose the 2.0-cm-diameter core of the toroid in...Ch. 3 - Prob. 3.64PCh. 3 - Consider a 1.0-mm air gap in Figure 3.49a. The...
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- A simple generator has a square armature 9.0 cm on a side. The armature has 80 turns of 0.59-mm-diameter copper wire and rotates in a 0.700-T magnetic field. The generator is used to power a lightbulb rated at 12.0 V and 25.0 W. Part A At what rate should the generator rotate to provide 12.0 V to the bulb? Consider the resistance of the wire on the armature. Express your answer to two significant figures and include the appropriate units. HA ? f = Value Unitsarrow_forwardProblem 1 In the magnetic circuit shown in figure P-1 the depth of the core is 5 cm. The winding has 400 turns and the relative permeability of the core is 4000. Determine the flux produced in the core for a current in the coil of 5 A. 10cm N 20cm →→ Figure P-1 10cm T 10cm 20cm 10cmarrow_forward(3.4)The length of a magnetic circuit in a moving iron instrument is 300mm. The coil around the soft-iron core has 360 turns and takes a current of 1.75 A. The core is square in section with sides of 20 mm. Take the relative permeability of soft iron as 1100. 3.4.1) Determine the magnetomotive force in the core 3.4.2)Determine the field strength 3.4.3) Determine the total fluxarrow_forward
- The reluctance of a non-magnetic path is 12 AT-Wb. Find the flux needed to be set up if surrounded by a coil 600 turns carrying a current of 3 A.arrow_forwardThe length of a magnetic circuit in a moving iron instrument is 300mm. The coil around the soft-iron core has 360 turns and takes a current of 1.75A . The core is square in section with sides of 20mm . Take the relative permeability of soft iron as 1100 . 3.4.1 Determine the magnetomotive force in the core 3.4.2 Determine the field strength 3.4.3 Determine the flux density 3.4.4 Determine the total fluxarrow_forwardExplain why do we need a B-H curve when we solve a parallel magnetic circuit in which one of the fluxes is given.arrow_forward
- In the figure is shown a current of 50 A in a wire 120 cm long and at an angle of 45° to a magnetic field of flux density 6.0 x 10 -4 Wb/m2. What are the magnitude and direction of the force on this wire?arrow_forwardA rectangular coil of wire has a length of 3 cm and a width of 4 cm. It is in a 0.004 T magnetic field. What is the magnetic flux through the coil if the face of the coil is parallel to the B-field lines? What is the flux if the angle between the face of the coil and the magnetic field is 75°?arrow_forwardA ten-turn solenoid has a ferromagnetic core with a relative permeability of 10,000. The length of the solenoid is l=10 cm and its cross section area is A=1 cm2. The amount of current driving the solenoid is 0.1 A. Determine the magnetic flux intensity H in the core. Provide your answer in A/m. Round off to your answer to one decimal.arrow_forward
- Find the ratio of exciting currents with and without a 1mm air gap in a magnetic core of mean length 50cms and relativepermeability of 2500 and cross-section of 1cm 2 in a 1000 turn coil wound on the core. The flux density in both cases must be1T.arrow_forwardA ring of ferromagnetic material has a rectangular section. The inner diameter is 15 cm.The outer diameter is 24 cm. And the thickness is 5 cm. There is a coil of 500 turns wound onthe ring. When the coil has a current of 10 A, the flux in the core is 0.0007 Wb. Theaverage length of the ring is Ln=0.66m Determine:a) The magnetomotive force.b) The intensity of the magnetic field and the flux density.c) Reluctance, permeability and relative permeability.arrow_forwardProblem 4 The magnetic circuit shown in the figure has two windings and two air gaps. The core can be be of infinite 8: |- Core, u o0 Arca A2 assumed to permeability. dimensions are indicated in the The core Area A N turns figure. inductances of windings 1 and 2 Find the self- 81 Na turas and the mutual inductance between the windings.arrow_forward
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