Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 8, Problem 8.16P
To determine
(a)
To prove:
The orbital dipole moment is
To determine
(b)
To prove:
The torque due to a magnetic field which is parallel to orbit plane is
To determine
(c)
To prove:
To determine
(d)
The values of angular velocity, torque, and the magnetic moment of an orbit for an atom of hydrogen.
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In free space, let Q1 = 10nC be at P1 (0,4,0) and Q2 = 20nC be at P2(0,0,4). Find E at the origin. Where should a 50 nC point charge be located so that E = 0 at the origin?
Consider two concentric spherical shells--one conducting and one non-conducting. The conducting spherical shell has radius 3 cm and total charge of -8 nC, while the non-conducting spherical shell, which is outside the conducting shell, has inner radius 8 cm, outer radius 14 cm, and total charge 5 nC. Determine how strong the electric field is, in kV/m, 10 cm from the center of the conducting shell.
A spherical charge of radius 3 cm and a volume charge density given below. How much is the D-field at a distance of 8 cm from the center of the spherical charge and in uC/(m^2) and 3-decimal places?
note: PV = 20 mC/m^3
Chapter 8 Solutions
Engineering Electromagnetics
Ch. 8 - A point charge, Q = - 0.3 /C and m = 3 Ă— -10-16...Ch. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Show that a charged particle in a uniform magnetic...Ch. 8 - Prob. 8.5PCh. 8 - Show that the differential work in moving a...Ch. 8 - A conducting strip of infinite length lies in the...Ch. 8 - Two conducting strips, having infinite length in...Ch. 8 - A current of-100az A/m flows on the conducting...Ch. 8 - A planar transmission line consists of two...
Ch. 8 - Prob. 8.11PCh. 8 - Two circular wire rings are parallel to each...Ch. 8 - An infinitely long current filament is oriented...Ch. 8 - A solenoid is 25 era long, 3 cm in diameter, and...Ch. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Prob. 8.18PCh. 8 - Given a material for which ℵK = 3.1 and within...Ch. 8 - Find H in a material where (a) fir = 4.2, there...Ch. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Calculate values for HO,B0, and M0 at p = c for a...Ch. 8 - Two current sheets, K0,ay, A/m at z = 0 and -K0,ay...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - Let đ�œ‡rj = 2 in region 1, defined by 2x + 3y —...Ch. 8 - For values of B below the knee on the...Ch. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - A toroid is constructed of a magnetic material...Ch. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Determine the energy stored per unit length in the...Ch. 8 - Prob. 8.35PCh. 8 - Prob. 8.36PCh. 8 - A Toroid has known, reluctance R. Two windings...Ch. 8 - Prob. 8.38PCh. 8 - Conducting planes in air at Z = 0 and z = d carry...Ch. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Find the mutual inductance between two filaments...Ch. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Beginning with the definition, of the scalar...
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- In free space, let Q1 = 10 nC be at P1 (0,-4, 0). Find the work required done in moving a 2-microC charge along a straight line path from A(1, 2, 3) to B(3, 1, 2).arrow_forwardA dipole is composed of a pair of point charges ±?, separated by a distance ?d and aligned parallel with the ?-x-axis, as shown in the figure. Find the expression for the potential ? on the ?-axis at point F located at ?=3.77×10−8 cm, where ?≫?. Then, evaluate the potential for a dipole moment of ?=8.00×10−30 C·m. The Coulomb force constant is ?=1/(4??0)=8.99×109 N·m2/C2.arrow_forwardRegion 1, described by 3x + Ay > 10, is free space whereas region 2, described by3x + Ay < 10, is a magnetic material for which u=10u0. Assuming that theboundary between the material and free space is current free find B7 if B, =0.1a,+ 0.4av +0.2a. Wb/m2arrow_forward
- Consider the surface charge distributed along the disk with an inner radius of 1m, an outer radius of 2m, and a charge density of 3[μC/m2] shown in the figure. Since the medium is empty space, (a) Find the total charge on the disk. (b) If a 2[μC] load is placed at point P1 10m above the axis of the load, find the force acting on this load.arrow_forwardConsider the surface charge distributed along the disc with an inner radius of 1m and an outer radius of 2m and a charge density of 3.uc/m2 in the figure. Since the medium is empty space, (a) Find the total charge on the disk. (b) If a 2 uC load is placed at point P1 10 cm above the axis of the load, find the force that will act on this load.arrow_forwardPLEASEE INCLUDE THE ROTATIONAL FREE BODY DIAGRAMarrow_forward
- Two point charges of 1 nC(0,0,0.1) and -1 nC at (0,0,-0.1) are in free space. a) Calculate V at P(0.3,0,0.4), b) Calculate E at P. c) Assume that the two charges form a dipole at the origin, calculate V at Parrow_forwardA 20-nC point charge is at the origin in free space. Calculate V1 if pointP1 is located at P1(2, 3,−1) and V = 0 at (6, 5, 4).arrow_forwardAn image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R, surrounded by a concentric cylindrical tube of inner radius R, and outer radius Rg is given in the figure. The inner conductor and outer conductor (cylindrical tube) have the current density j1 = Cr and ja = Cyr respectively, for which r is the radial distance from the center. Each conductor carries the same total 1, in opposite directions. What is the magnitude of the magnetic field B, at a distance 11 = 2 cm and B, at a distance 12 = 9 cm? (R = 5 cm; R2 = 8 cm; Rg = 10 cm: 1, = 4 A; Ho = 47x10-?T.m/A. Take the sign of the current coming out from the page plane as positive).arrow_forward
- Compute for the work done, in millijoules, in moving a 2-nC charge from A(3, 0, -1) m to B(2, 4, -3) m against the electric field due to a disk charge of radius 4 m on the plane x = 0. The disk has a total charge of 9 mC.arrow_forwardUniform line charges of 114 nC/m lie along the entire extent of the three coordinate axes. Assuming free space conditions, find Ez at P(-8, -1,4).arrow_forwardA solid copper sphere of radius 20 cm carries a charge of 50 nC. Using Gauss' Law find the electric field (a) 16 cm, (b) 20 cm, and (c) 100 cm from the center of the sphere.arrow_forward
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