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 3.30P
Suppose an infinite extent sheet of current with
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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 magnetic core with an air gap is shown below. For a relative permeability is 3500, and the space free permeability is 4TTX10-7 H/m. Find the reluctance of the left leg and the top side of the core. Ignore the gap in your calculations. 10 cm 0.1 cm gap 20 cm 5 cm 5 cm 40 cm 5 cm core depth = 10 cm Select one: O a. Rieft = 1251 A.t./Wb , Rtop = 1023 A.t/Wb O b. None O c. Rieft = 12.51 KA.t./Wb , Reop = 10.23 KA.t/Wb O d. Rieft = 125.1 A.t./Wb , Rtop = 102.3 A.t/Wbarrow_forward3. Find the magnetic flux density at the center of a square loop (at the origin) with side W standing on xy plane and carrying a direct current I as seen in figure. (25p) W yarrow_forwardFigure 1 shows a ferromagnetic core with a relative permeability of 1850, the depth of the core is 10 cm. The air gap on the core is 0.2 cm with effective area 5 % larger than their physical size due to fringing effects. Given the number of turns N = 500 and current i = 2 x, where x is the last digit of your student ID (example: EEE1705590, then i = 20 A): (a) Find the total reluctance of the core and air gap. [CLO1-PL01:C2] (b) Find the flux density of the air gap. [CLO1-PLO1:C2] 13 cm 23 cm 9 cm 5.6 сm Air gap 31 cm N turns 7 cm Figure 1arrow_forward
- A 0.5-m length of wire carries a 10-A current perpendicular to a magnetic field. Determine the magnetic flux density needed so that the force on the wire is 3 N.arrow_forwardQ4// 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 الاجابةarrow_forwardA magnetic core with an airgap is shown in the figure below. The depth of the core is 7 cm, the length of the airgap in the core, g, is 0.04 cm, the relative permeability of the core is 2000. Assume a five percent increase in the effective air-gap area to account for fringing. The reluctance of the air-gap in kAt/Wb is 7cm Scm 10cm 7cm 22cm 8cm 7cm 5cm O a. 86.6 O b. 909.5 Oc. 90,95 O d. 866arrow_forward
- 5. 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_forwardA magnetic core with an air gap is shown below. For a relative permeability is 9500, and the space free permeability is 4Ttx107 H/m. Find the reluctance of the left leg and the top side of the core. Ignore the gap in your calculations. 10 cm 0.1 cm gap 20 cm 5 cm 5 cm 40 cm 5 cm core depth = 10 cm Select one: a. Rjeft = 3.770 KA.t./Wb , Rtop = 4.607 KA.t/Wb b. None c. Rieft = 377.0 A.t./Wb , Rtop = 460.7 A.t/Wb d. Rjeft = 325.1 A.t./Wb , Rtop = 402.3 A.t/Wb ----------arrow_forwardA long straight wire placed along az -axis carries a current of I = 6 A in the +az direction. The magnetic flux density at a distance r = 5cm from the wire will bearrow_forward
- A conductor of length 1 metre moves at right angles to a uniform magnetic field of flux density 1.5 Wb/m with a velocity of 50 metre/second. Calculate the e.m.f. induced in it. Find also the value of induced e.m.f. when the conductor moves at an angle of 30° to the direction of the field.arrow_forwardOutside of a very long current carrying wire, the magnetic flux density B is circular and the It is inversely proportional to the distance from the axis. Find the divergence of the magnetic flux density.arrow_forwardThe angle between the direction of motion of a conductor and the lines of flux is 30°. The length of the conductor in the magnetic field is 1.5 ft, and its velocity is 10,800 ft per min. Find the voltage induced in the conductor if the flux density is 10,000 lines per sq in. 2.11arrow_forward
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