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 3.32P
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The cylindrical surface ρ = 8 cm contains the surface charge density, ρS = 5e−20|z| nC/m2. (i) What is the total amount of charge present? (ii) How much electric flux leaves the surface ρ = 8 cm, 1 cm< z < 5 cm, 30◦ < φ < 90◦?
The cylindrical surface ρ = 8 cm contains the surface charge density, ρS = 5e−15|z| nC/m2.
What is the total amount of charge present?
How much electric flux leaves the surface ρ = 8 cm, 2 cm < z < 3 cm, 30° < φ < 60°?
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.
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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- Find the force on a point charge of 50 μC at (0, 0, 5) m due to charge of 500π μC that is uniformly distributed over the circular disk r ≤ 5m, z = 0arrow_forwardA cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric field intensity at radius r = 0.32m and l =0.6m? ii. What is the flux through the cylinder if its length increased to l =0.8m? iii. What is the electric field intensity at radius r= 0.32 and l=0.8m? iv. Briefly explain the effect of an increase or decrease of radius andlength on the electric field intensity.arrow_forwardA +6.00 -μC point charge is moving at a constant 8.00 x 106m/s in the +y-direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame, what is the magnetic-field vector Bit produces at the following points: (a) x=0.500 m, y=0, z=0; (b) x=0, y=-0.500m, z=0; (c) x=0, y=0, z=+0.500m; (d) x=0, y=-0.500 m, z=+0.500m?arrow_forward
- Q) A charged particle of mass 2kg and a charge of 2C travels in a region of uniform magnetic field of B = 5a, wh/m? with a velocity of 3ay m/s. Calculate the force on the particle due to the field?arrow_forwardAn infinitely long wire carrying current is extended along the z-axis. A square plate with edge length a, lying in the yz plane, is placed next to the wire. Find the magnetic flux passing through the plate surface.arrow_forwardA square surface area with side length of 4cm is in the XY plane at z=0, Find the magnitude of the magnetic flux due to a uniform magnetic field of B=2ax-6ay+5az T a. In the +z direction b. 60 degrees from the +z direction c. Perpendicular to the +z direction d. 180 degrees from the +z directionarrow_forward
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- ِA charged particle is moving in a circular orbit of radius 10 cm in uniform magnetic field with the velocities 10^7 m/sec, determine the angler speed of the charged particle * 1.6×10^7 rev/s1.5×10^6 rev/s1.6×10^5 rev/s1.6×10^6 rev/s1.5×10^7 rev/sarrow_forwardA charge of 1 micro-C is located inside the sphere of radius 1 m. Find the density of the electric flux (micro- Coulomb/meter-square) at the surface of the sphere. Select one: a. 0.0397 b. 0.0265 c. None of the above d. 0.0795 e. 0.0199arrow_forwardIn free space, a cylinder has base area 9π square meters and height 2 meters. If it carries a total current of 3 amperes through its circular cross section, find the magnetic flux density 1 meter from the axis of the cylinder. a.) 13.33 nWb/m2 b.) 66.67 nWb/m2 c.) 33.33 nWb/m2 d.) None of the choicesarrow_forward
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