Explanation Given: The cross sectional area and relative permeability of bar is 3 cm 2 and 3000 , respectively. The cross sectional area and relative permeability of electromagnet core is 2 cm 2 and 10000 , respectively. The value of w is 16 cm and h is 12 cm , mass of the bar is 20 kg and number of loops is 24 . Concept used: The force of attraction between the bar and magnet is shown below. F = μ 0 H 2 A Calculation: The total length of electromagnet is, l e = 2 h + w = 2 ( 12 × 10 − 2 ) + 16 × 10 − 2 = 0.40 m The reluctance of electromagnet core is, ℜ e = l e μ r e μ 0 A e Substitute 0.4 for l e , 10 4 for μ r e , 4 π × 10 − 7 for μ 0 and 2 × 10 − 4 for A e in above equation. ℜ e = 0.4 10 4 ( 4 π × 10 − 7 ) ( 2 × 10 − 4 ) ≈ 159.15 × 10 3 The total length of bar is, l e = w = 16 × 10 − 2 = 0.16 m The reluctance of bar is, ℜ b = l b μ r b μ 0 A b Substitute 0.16 for l e , 3 × 10 3 for μ r e , 4 π × 10 − 7 for μ 0 and 3 × 10 − 4 for A b in above equation. ℜ e = 0.16 3 × 10 3 ( 4 π × 10 − 7 ) ( 3 × 10 − 4 ) ≈ 141

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 3.64P

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The current required to hold the bar against gravity.

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Fundamentals of Electromagnetics with Engineering Applications

Ch. 3 - Find AB for the following: A=2ax3ay+4az,B=5ay1az...Ch. 3 - Prob. 3.2P Ch. 3 - Given the vertices of a triangle...Ch. 3 - A segment of conductor on the zâ€“axis extends...Ch. 3 - Prob. 3.5P Ch. 3 - Prob. 3.6P Ch. 3 - A square conductive loop in the shape 10.0 cm is...Ch. 3 - A conductive loop in the xâ€“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. 3.13P Ch. 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 3.0â€“mmâ€“radius solid wire centered on...Ch. 3 - Given a 2.0â€“cmâ€“radius solid wire centered on...Ch. 3 - An infinitesimally thin metallic cylindrical shell...Ch. 3 - A cylindrical pipe with a 1.0â€“cm wall thickness...Ch. 3 - Prob. 3.21P Ch. 3 - Prob. 3.22P Ch. 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/m Ch. 3 - Suppose H=y2ax+x2ayA/m .(a) Calculate HdL around...Ch. 3 - Prob. 3.27P Ch. 3 - Suppose you have the field H=rcosaA/m. Now...Ch. 3 - Prob. 3.29P Ch. 3 - Suppose an infinite extent sheet of current with...Ch. 3 - Prob. 3.31P Ch. 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. 3.37P Ch. 3 - Prob. 3.38P Ch. 3 - Prob. 3.39P Ch. 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. 3.43P Ch. 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. 3.46P Ch. 3 - Prob. 3.47P Ch. 3 - A solid nickel wire of diameter 2.0 mm evenly...Ch. 3 - Prob. 3.49P Ch. 3 - The plane y = O separates two magnetic media....Ch. 3 - Prob. 3.52P Ch. 3 - Prob. 3.53P Ch. 3 - Prob. 3.54P Ch. 3 - Prob. 3.55P Ch. 3 - Prob. 3.56P Ch. 3 - Prob. 3.57P Ch. 3 - Prob. 3.58P Ch. 3 - Prob. 3.59P Ch. 3 - Prob. 3.60P Ch. 3 - Prob. 3.61P Ch. 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. 3.64P Ch. 3 - Consider a 1.0-mm air gap in Figure 3.49a. The...

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