Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 7, Problem 7.11P
A solenoid of radius a and of length. L is oriented with its axis along the 2 axis over the range -d/2
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1. Inductance. Consider the configuration of a wire with 90° bends as shown below. A small loop,
with its sides of length a and width d = a/16 is placed with its plane lying along xz principal plane
as shown. Stating all assumptions, determine mutual inductance between the loop and the wire.
a/2
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2a
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the
left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300
turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A:
(a) What are the flux values for the left, center and the right legs of the core?
(b) What is the flux density in each air gap?
7 cm
-30 cm-
7 em
30 ст
7 cm
30 cm
-0.07 cm
300 turns
0.05 cm-
7 сm
Core depth = 5 cm
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5
cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5
percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A:
(a) What are the flux values for the left, center and the right legs of the core?
(b) What is the flux density in each air gap?
30 cm-
30 cm
7 cm
30 cm
0.07 cm
300 turns
0.05 cm
cm
Core depth - 5 cm
Chapter 7 Solutions
Engineering Electromagnetics
Ch. 7 - Find H in rectangular components at P(2,3,4) if...Ch. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - The parallel filamentary conductors shown in...Ch. 7 - A disk of radius a lies in the xy plane, with z...Ch. 7 - Prob. 7.7PCh. 7 - For the finite-length current element on the z...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - A solenoid of radius a and of length. L is...Ch. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - A current filament carrying I in the -az direction...Ch. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - A solid conductor of circular cross section with a...Ch. 7 - Prob. 7.21PCh. 7 - Prob. 7.22PCh. 7 - Prob. 7.23PCh. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - The magnetic field intensity is given in a certain...Ch. 7 - Given H=(3r2/sin)a+54rcosa A/m in free space: (a)...Ch. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Use an expansion in rectangular coordinates to...Ch. 7 - A filamentary conductor on the z axis carries a...Ch. 7 - A current sheet K = 20 az A/m, is located at p =...Ch. 7 - Let A= (3y-z)ax+2xzayWb/m in a certain regin of...Ch. 7 - Let/N=1000, I=.08 A, p0=2 cm and a=.08 cm for the...Ch. 7 - A square filamentary differential current loop, dL...Ch. 7 - Prob. 7.39PCh. 7 - Show that the line integral of the vector...Ch. 7 - Prob. 7.41PCh. 7 - Show that 2(1/R12)=1(1/R12)=R21/R312.Ch. 7 - Compute the vector magnetic potential within the...Ch. 7 - Prob. 7.44P
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- A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm 30 cm 30cm- 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Activate Windows Go to Settings to activate Windows. Core depth - 5 cmarrow_forwardA ferromagnetic core with a relative permeability of 1500 is shown in the Figure. The dimensions are shown in the diagram, and the depth of the core is 5cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of the fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what are the flux values for the left, center, and right legs of the core? What is the magnetic field in each air gap? |7 cm 7 cm 7 cm to 30 cm 30 cm 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Core depth = 5 cmarrow_forwardFigure shows a circuit and a conducting rod. A conducting rod moves with a constant velocity vperpendicular to a circuit with a current I=2.82sin(??)arrow_forward
- Determine the mutual inductance between a very long straightwire and a conducting circular loop of radius “b” m set up “d” mapart on the same plane as shown figure.Problem:arrow_forwardOSSecO A current Ip5A flows through long regular wire in emty space. an infinitely It square perimerer with a side length of 3 [cm] at A Second distance of d=4Ecm] from the eurrent On +he same plane with this current ldirection is giver in the figure J are awailable. Caleulate the enductance L42 as EuH].arrow_forwardA hollow conductor us at a potential V. The potential at any point inside the hollow is,arrow_forward
- 2) C. When the capacitor is fully charged, the top conductor while the bottom conductor D. Electric field lines are and a potential difference is E. The capacitance of a capacitor is defined as F. The unit of capacitance isarrow_forwardField current If can be varied by varying the resistance of field resistance which is connected in series with the field circuit. Select one: True Falsearrow_forwardThe magnetic structure of Figure Q7 1 has a rerromagnetic core that can be treated as infinitely permeable Air-gap fringing Is negligible Let N= 10 turns, A=02 m and gap length is 0 = 5 x 10 m. The coil is excited by a sinusoidal voltage source that establishes a flux given by p(t) = 0.25stn20t Wb. The resistance of the coil can be neglected Determine the supply voltage, ), the current, (t) and the inductance of the coil, L. %3D Area, A ŁAir Vst) Figure Q7.1. Solutions insert your solutions in the spaces provided below. Give your numerical values to the nearest whole number unless where stated otherwise. Veft) = Volts t) = A. L= H (give your answer correct to 3 decimal places).arrow_forward
- A solenoid displaces a material plunger ferromagnetic at a distance of 1 cm. The inductance of the solenoid in function of the position of the plunger is given by: L(x) = 0,05 – 20000((r - xo)) H, where x ranges from 0 to 0.01 m and xo = 0.25 m Is there a point where the force generated in the plunger is zero? If so, for what value of x?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_forwardEddy currents can be induced only in metals that are not ferromagnetic, for example, copper and aluminium. Select one: True Falsearrow_forward
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