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 3.47P
To determine
The magnetic flux density of the square loop.
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In the figure, the current in the long straight wire is equal to I1 = 5A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10A. The dimensions are c = 0.100 m, a = 0.150 m, and ? = 0.450 m. Determine the magnitude and direction of the net force exerted on the loop by the magnetic field produced by the wire.
The magnetic flux density in a region of free space is given as B = 6xax -9yay + 3zaz T. the force on the side 2 of rectangular loop shown in Figure, it lies in the plane z = 0.
The figure shows a cable through which a current I flows, which is composed of a straight segment of length L and parallel to the z axis, then a semicircular segment of radius R and contained in the xy plane, and then another segment of length L, parallel to the x axis. In all space there is a uniform magnetic field B (with arrow) = Bz (z with hat), find the total magnetic force on the three segments of the wire. (The answer must be expressed in terms of I, B, L and R)
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Two circular loops, L1 and L2, of radius 50 cm are carrying currents of 10 mA in thesame direction. If L1 is at z=0 and L2 at z=10 cm, find the total magnetic field due toboth loops at (0,0,50 cm). Draw neat diagrams to explain the concept.arrow_forwardGiven a magnetic flux density of 0.128 T that is uniform in the positive z direction. What is the magnetic flux: a. across the surface abcd? b. across the surface befc? c. across the surface aefd?arrow_forwardWhich of the following statements is false? A. The magnetization is in the opposite direction to the externally applied magnetic field in diamagnetic materials. B. Magnetic susceptibility in paramagnetic materials is temperature-dependent. C. Different from paramagnets, ferromagnetic materials remain magnetized after the external field is removed. D. Magentic susceptibility is not temperature dependent in diamagnets. E. In case of the absence of permanent magnetic dipole, the magnetic material is classified as paramagnetism. F. Anti-ferromagnets turn to be paramagnets once a certain temperature threshold is exceeded. G. There is a certain temperature, above which ferromagnets' ability to be magnetized or attracted to a magnet disappears.arrow_forward
- Consider two coaxial solenoids with free space cores. Solenoid A is placed inside Solenoid B and solenoid B carries a current of 2I0 which creates a magnetic flux density of magnitude of B0. If the cross-sectional area, length and number of turns per length of Solenoid A are S, 4h and n respectively, calculate the mutual inductance between Solenoid A and Solenoid B.arrow_forwardA finite length wire, which is bent as shown in the below figure, lies in xy-plane and carries a current I. If the magnetic flux density in the region is ?⃗⃗ = ?⃗⃗ ??⃗⃗⃗⃗ , determine the magnetic force acting on the wire.arrow_forwarda) A circular loop of radius ? carries current ? as shown in the figure. Find the magnetic flux density ?⃗ at a point on the axis of the loop by using Biot-Savart law. Show all the details of Biot-Savart formulation b) A surface charge density exists on the hemispherical surface of the radius ? shown in the figure given as??⃗⃗ =?0????ê?A/m where ?0 is constant. i) Find the total current flowing on the surface ii) Using the solution of part (a), find the magnetic flux density ?⃗ at the origin ?.arrow_forward
- with a point charge of 30 nC at (-1, 0, 2), -20 nC at (0,0,0) and 10 nC at (1,5,-1). The total flux leaving a cube of 6 m on each side centered at the origin is?arrow_forwardA flat, circle surface area with a radius of 4m is in the YZ-plane at x=0, Find the magnitude of the magnetic flux through this surface produced by a magnetic flux density of B=3.5ax-6.4ay+8az Tarrow_forwardA flexible circular loop of 10 cm diameter is in a magnetic field of 1.2 Teslas directed towards the plane of the drawing as shown in the figure below. The loop is pulled at the points indicated by the arrows, forming a loop of zero area of 0.2 seconds. a) determine the induced electromotive force. b) What is the direction of the induced current?arrow_forward
- As shown in the figure, two parallel conductors carry current in opposite directions. The current passing through one of the conductors is 10 A. If point A is the midpoint of the distance between the wires, point C is d/2 to the right of the wire carrying 10 A current. The distance d is given as 18 cm. If the current I is set so that the magnetic field at point C is zero, find the current I value and the magnetic field value at A.arrow_forwardA 2a-part piece of wire was removed from the middle area of my upper edge, consisting of rectangular conductive wires with a long edge of 10a and a short edge of 4a, and replaced with a semicircular conductive wire with a radius. A constant I current passes through the closed ring in the way. What's the magnetic field vector at that point? (Get T=3).arrow_forwardSupposed that a coaxial cable consists of a solid inner conductor of radius a, surrounded by a concentric cylindrical tube of inner radius b and outer radius c as shown below. We assume that the conductors are carrying an equal current I naught that is distributed equally into the cross-section but of different directions as indicated by the directions in the image above. Calculate the magnitude of magnetic field at a distance r from the axis, where: - rc Plot the magnitude of the magnetic field with respect to the distance r from the axis.arrow_forward
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