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 8, Problem 8.31P
A toroid is constructed of a magnetic material having a cross-sectional area of 2.5 cm2 and an effective length of 8 cm. There is also a short air gap of 0.25 mm length and an effective area of 2.8 cm2. Ammo of 200 A. t is applied to the magnetic circuit. Calculate the total flux in thetoroid if the magnetic material: (a) is assumed to have infinite permeability; (b) is assumed to be linear with đ�œ‡r = 1000; (c) is silicon steel.
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6) a) Current is generally defined with respect to ...b) Current in a wire is defined with respect to ...c) Derive how much current flows through a closed surface in the magnetostatic case.
d) Derive magnetic flux through a closed surface for a non-magnetostatic case.
Q4// A ring of a mean diameter 30 cm
and cross sectional area of 15 cm2 is
made up of semi – circular sections of
cast iron and cast steel. If each joint
has an air gap of 0.25 mm. Find amper
turns required to produce a flux of 7 x
10 weber in the magnetic circuit. The
relative permeability of steel and iron
are 852 and 165 respectively.
-
OA- Amper turns required= 1105
OB- Amper turns required= 1995
OC- Amper turns required= 2250
OD- Amper turns required= 3150
OE- None of above
ارسال الاجابة
The magnetic structure shown in the figure is built with a material whose magnetization curve is expressed by: (See image with the equation)
The length of the mean magnetic path in the core is equal to 0.75 m. The measurements of the cross section are 6 × 8 cm 2. The length of the air gap is 2 mm and the flux in it is equal to 4 mWb (in the direction indicated in the Figure). Determine the number of turns in coil B.
Ans: NB =1,237 turns (I need the procedure)
Chapter 8 Solutions
Engineering Electromagnetics
Ch. 8 - A point charge, Q = - 0.3 /C and m = 3 Ă— -10-16...Ch. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Show that a charged particle in a uniform magnetic...Ch. 8 - Prob. 8.5PCh. 8 - Show that the differential work in moving a...Ch. 8 - A conducting strip of infinite length lies in the...Ch. 8 - Two conducting strips, having infinite length in...Ch. 8 - A current of-100az A/m flows on the conducting...Ch. 8 - A planar transmission line consists of two...
Ch. 8 - Prob. 8.11PCh. 8 - Two circular wire rings are parallel to each...Ch. 8 - An infinitely long current filament is oriented...Ch. 8 - A solenoid is 25 era long, 3 cm in diameter, and...Ch. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Prob. 8.18PCh. 8 - Given a material for which ℵK = 3.1 and within...Ch. 8 - Find H in a material where (a) fir = 4.2, there...Ch. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Calculate values for HO,B0, and M0 at p = c for a...Ch. 8 - Two current sheets, K0,ay, A/m at z = 0 and -K0,ay...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - Let đ�œ‡rj = 2 in region 1, defined by 2x + 3y —...Ch. 8 - For values of B below the knee on the...Ch. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - A toroid is constructed of a magnetic material...Ch. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Determine the energy stored per unit length in the...Ch. 8 - Prob. 8.35PCh. 8 - Prob. 8.36PCh. 8 - A Toroid has known, reluctance R. Two windings...Ch. 8 - Prob. 8.38PCh. 8 - Conducting planes in air at Z = 0 and z = d carry...Ch. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Find the mutual inductance between two filaments...Ch. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Beginning with the definition, of the scalar...
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- 4. A two-legged magnetic core with an air gap is shown in figure below. The depth of the core is 5 cm, the length of the air gap in the core is 0.07 cm, and the number of turns on the coil is 500. The magnetization curve of the core material is shown next to it. Assume a 5 percent increase in effective air-gap area to account for fringing. How much current is required to produce an air-gap flux density of 0.5 T? What are the flux densities of the four sides of the core at that current? What is the total flux present in the air gap? 10 cm 1.25 1.00 0.75 N- 500 tums 0.07 cm : 30 cm 0.50 0.25 10 cm 0.0 100 1000 30 cm Magnetizing intensity, A turns/m Depth = 5 cm [0.00131 Wb, 0.524 T, 0.262 T, 1.46 A] Flux density, Tarrow_forwardThe applied MMF to a simple magnetic circuit is 350AT. It was found that the resulting magnetic field denstiy is 0.7 Wb/m². The average length of this magnetic circuit is 1.64ft and its cross sectional area is 4cm². What is the reluctance (in AT/Wb) of the magnetic material of the core?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_forward
- A magnetic circuit is made of mild steel arranged as shown below. The centre limb is wound with 500 turns and has a cross-sectional area of 800 mm. Each of the outer limbs has a cross-sectional area of 500 mm'. The air gap has a length of 1.0 mm. Calculate the current required to set up a flux of 1.3 mWb in the centre limb, assuming no magnetic leakage and fringing. The mean lengths of the various magnetic paths are shown on the diagram. В Т) 1.7 1.6 1.5 I mm 120 300 300 1.4 mm mm mm 1.3 1.2 1000 2000 3000 4000 5000 H (A/m) Magnetization characteristic of mild steelarrow_forwardAmagnetic circuit has an average length of 1.4 m and a cross-sectional area of 0.25 m2. Excitation is provided by a 140 -turn, 30-Q, coil. Determine the voltage required to establish a flux density of 1.56 T. The reluctance of the magnetic circuit, when opera ting at this flux density is 768 A-t/Wb.arrow_forward5. a) According to this figure, if it's possible to create magnetic monopoles in a spherical closed surface, then find out the amount of total magnetic flux. N N N Narrow_forward
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