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 4, Problem 4.21P
To determine
The voltage of the conductive rod at its end.
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A conducting rod has one end grounded at the origin, while the other end is free to move in the z = 0 plane. The rod rotates at 30 rad/s in a static magnetic field B = 60az mWb/m2. If the rod is 8 cm long, find the voltage induced in the rod.
The current density in a very long hollow cylindrical conductor of radius a and b, with a < b, has the direction of the cylinder axis, with modulus given by
J = J0(r2/ab)
where J0 is a positive constant and r is the distance from the axis of the conductor. Calculate the magnetic field for a < r < b.
The magnetic flux density in all of space is given by
B=(3z)ax+(8x2−x2y)ay+(y+x2z)az Wb/m2.
Let S denote the paraboloidal surface defined by
y=x2+z2,0≤y≤64.
Find the net magnetic flux Φ passing through S in the direction away from the xz-plane.
Hint: Think about whether there is another way to solve this, such as by using a capping surface.
Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 4 - How long does it take for charge density to drop...Ch. 4 - At a particular point in a slab of silver, a...Ch. 4 - A current density is given by J=e.01taA/m2. Find...Ch. 4 - At t=0s, 60.0C is evenly distributed throughout a...Ch. 4 - A propagating electric field is given by...Ch. 4 - A 10.0-MHz magnetic field travels in a fluid for...Ch. 4 - Modify the simple wave program in MATLAB 4.1 to...Ch. 4 - Modify the traveling wave program in MATLAB 4.2 to...Ch. 4 - Prob. 4.9PCh. 4 - A bar magnet is dropped through a conductive ring....
Ch. 4 - Considering Figure 4.7, suppose the area of a...Ch. 4 - Sometimes a transformer is used as an impedance...Ch. 4 - Prob. 4.13PCh. 4 - The mean length around a nickel core of a...Ch. 4 - A triangular wire loop has its vertices at the...Ch. 4 - Referring to Figure 4.23, suppose a conductive bar...Ch. 4 - Suppose we have a conductive bar moving along a...Ch. 4 - The radius r of a perfectly conducting metal loop...Ch. 4 - Rederive Vemf for the rectangular loop of Figure...Ch. 4 - In Figure 4.16, replace the rectangular loop with...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A Faraday disk generator is similar to the...Ch. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Suppose a vector field is given by A=2cosaz Verify...Ch. 4 - A pair of 60cm2 area plates are separated by a...Ch. 4 - Plot the loss tangent of seawater ( =4S/m and r=81...Ch. 4 - A 1.0-m-long coaxial cable of inner conductor...Ch. 4 - Suppose in free space that E(z,t)=5.0e2ztaxV/m. Is...Ch. 4 - An electric field propagating in a lossless...Ch. 4 - A magnetic field propagating in free space is...Ch. 4 - Find the instantaneous expression for E for the...Ch. 4 - Given, at some point distant from a source at the...Ch. 4 - In a lossless, nonmagnetic media, the magnetic...Ch. 4 - Suppose, in a nonmagnetic medium of relative...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Find E(z,t) in Problem 4.32 using phasors.Ch. 4 - Prob. 4.41PCh. 4 - Find H(y,t) in Problem 4.36 using phasors.Ch. 4 - In MATLAB 4.4, a polar plot of the phasor...
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- A long, straight wire containing a semi-circular region of radius 0.95 m is placed in a uniform magnetic field of magnitude 2.20 T as shown in the figure. Calculate the net magnetic force acting on the wire when it carries a current of 3.40A.arrow_forwardConsider an infinitely large sheet lying in the xz-plane at the origin, the extent of the sheet in thex, and z direction is infinite. The sheet carries surface current J = J0ˆk, where J0 is the current per unit width perpendicular to the flow. Calculate the magnetic field everywhere (y > 0 and y < 0) due to J. Sketch the Amperian loop.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_forward
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