Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 3, Problem 3.59P
To determine
The mutual inductance between conductive concentric loops for
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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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- How many turns must be wound to obtain an air-core toroid with an average radius of 10 mm and a cross-sectional area of 10 mm2 and a coil with an inductance of 0.4 mH?Is a substitute solenoid possible for the same inductance value ? Please explain.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. Determine the inductance L in mH. Round off to your answer to one decimal.arrow_forward9 When a dielectric material is inserted between the parallel plates, what will happen to the value of capacitance? Select one: a. Capacitance will remains the same. b. Capacitance will increase. c. Capacitance will decrease. d. Capacitance will become zero.arrow_forward
- 10: The value of B at H-0 in a Hysteresis curve is called A) Remanence. B) Coercivity. C) Magnetization. D) Porosity 11: Ferrites are a sub-group of A) Non-magnetic materials, B) Ferro-magnetic materials, C) Paramagnetic materials, D) Ferri-magnetic materials. . 12: Find the true statement. A) Most of the substances show ferromagnetism, B) The magnetic susceptibility of diamagnetic substances are temperature independent, C) Water is paramagnetic in nature, D) Typical domain size of a ferromagnetic material is I nm. 13: Mutual inductance between two magnetically coupled coils depends on A) Permeability of the core material, B) Number of turns of the coils C) Cross sectional area of their common core, D) All of the above. 14: Which of the following circuit elements will oppose the change in circuit current? A)Capacitance. B) Inductance, C) Resistance, D) All of the above. 15: If the current in one coil is steady, what happens to the mutual inductance? A) Zero, B) Infinity. C) Doubles, D)…arrow_forwardQuestions A9 to A10 (Write TRUE or FALSE) The resistance of a conductor doubles if it's cross sectional area is doubled. The energy stored in an inductor is directly proportion to the value of inductance.arrow_forwarda rectangular ferromagnetic core 40 x 60 mm has a flux φ = 1.44 mwb. an air gap in the core is of length la = 2.5 mm. find the ni drop across the air gap.arrow_forward
- Self inductance of an inductor with toroidal geometry is 231 nH. The total number of turns of this inductor is 16. If a current of 17 A flows through the inductor, calculate its total magnetic flux in units of uWb.arrow_forwardThis is a toroidal inductance. Calculate the inductance of this material. r1 = 96mm, r2 = 120mm, a = 10mm, I= 5A and N = 200 turns. Take 1200 the maximum relative permeability of the material. N turnsarrow_forwardA symmetrical toroidal coil is wound on a plastic core (μr ≡ 1) and is found to have an inductance of 1 mH. What inductance will result if the core material is changed to a ferrite having μr=200? Assume that the entire magnetic path is composed of ferrite.arrow_forward
- 4. The flux produced in the dielectric of a capacitor is 9 x 10-4 coulomb when th impressed emf is 1,500 volts. What is the capacitance of the capacitor? 5. Calculate the capacitance of a parallel-plate capacitor that consists of 80 glas plates, each one 0.045 in. thick, and 81 sheets of 6.5- by 7.5-in. aluminum foarrow_forwardTwo identical air cored solenoids have 200 turns, length of 25 cm and cross-sectional area of 3 sq. cm. Each. The mutual inductance between them is 0.5 uH. Find the self-inductance of each coil and the coefficient of coupling.arrow_forwardTwo identical air core solenoid has 200 turns, length of 25 cm and cross-sectional area of 3 sq.cm. Each. The mutual inductance between them is 0.5 uH. Find the self-inductance of each coil and the coefficient of couplingarrow_forward
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