Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 9, Problem 9.24P
A
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71
The intrinsic impedance of a medium is given by
impedance in free space is:
-12
Hint: 8.854x10¹ and po 4 X 10' H/m
2650
4890
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377 0
0.So the intrinsic
a) Write the Biot-Savart Law for a steady current I.
b) By drawing the problem, write the expression for the vectoral magnetic flux density
surrounding an infinitely long wire carrying a line current of I.
c) Three infinitely long, parallel wires are located at the corners of an equilateral triangle as
shown in the figure below. If each wire is carrying a current of 100 A in +x direction and the
constitutive parameters of the medium are ɛ, = 10, Hp = 4, 0 = 0, find the vectoral forces;
i) F,
wire1
ii) F2
ii) F3
Coordinate System
per unit length on each wire.
wire2
wire3
60°
60
Solve the question by clearly
writing all steps of mathematical
operations with correct notation
and specifying all formulas and
units.
V3
mm
8. A nonmagnetic medium has an intrinsic impedance 240e³/6. Find its complex permittivity.
Chapter 9 Solutions
Engineering Electromagnetics
Ch. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - A rectangular loop of wire containing a...Ch. 9 - The location of the sliding bar in Figure 9.5 is...Ch. 9 - Prob. 9.6PCh. 9 - The rails in Figure 9.6 each have a resistance of...Ch. 9 - A perfectly conducting filament is formed into a...Ch. 9 - A square filamentary loop of wire is 25 cm on a...Ch. 9 - (a) Show that the ratio of the amplitudes of the...
Ch. 9 - Let the internal dimensions of a coaxial capacitor...Ch. 9 - Prob. 9.12PCh. 9 - En free space it is known that E = E0/r sin...Ch. 9 - A voltage source V0, sin cot is connected between...Ch. 9 - Use each of Maxwells equations in point form to...Ch. 9 - Derive the continuity equation from Maxwells...Ch. 9 - The electric field intensity in the region...Ch. 9 - Prob. 9.18PCh. 9 - In Section 9.1. Faradays law was used to show that...Ch. 9 - Prob. 9.20PCh. 9 - (a) Show that under static field conditions; Eq....Ch. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - A vector potential is given as A = A0 cos(đ�œ”t =...Ch. 9 - Prob. 9.25PCh. 9 - Write Maxwells equations in point form in terms of...
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- 6 6:38 PM 79% AA moodle.nct.edu.om Question 1 Not yet answered Marked out of 2.00 P Flag question If the potential function (Scalar) is given by V = -3xy²z°, then determine the gradient of the potential and gradient at point (1, -1, 1) - (3y²z°a, + 6xyz°a, + 9xy²z²a,), – 3a, · 3y²z°a, + 6xyz°a, + 9xy²z²a,, 3a, – 6a, -(3y z°a, - 6xyz°a, + 9xy²z²a,), 3a, – { 3y z°a, + 6xyz°a, + 9xy²z?a, -3a, - 6.arrow_forwardDefine and sketch uniform and non uniform field, give examples of each.arrow_forwardThe figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.16 A out of the page and the current in the outer conductor is I, = 2.90 A into the page. Assuming the distanced = 1.00 mm, answer the following. d (a) Determine the magnitude and direction of the magnetic field at point a. 2.32e-4 magnitude If you construct an imaginary circle of radius d passing through point a, how much current passes through this circle? UT direction ---Select--- (b) Determine the magnitude and direction of the magnetic field at point b. 1.16e-4 magnitude You can approach this problem by finding the field produced by current I, and the field produced by I, and then adding them vectorially. µT direction ---Select---arrow_forward
- There is a nonuniform electric field given as: E = 15 - ɑ.V /m Determine the numerical value of the potential (voltage) at (5, 20, 9) with respect to (20, 4, 18). Draw a labeled sketch of the electric field orientation and the integration path a. b. c. Justify the sign of your potential using the sketch.arrow_forwardA coaxial cable has a 10-mm diameter inside conductor and a metallic sheath with an inside diameter of 20 mm. If the insulating medium has a dielectric constant, k=3. Draw the diagram. a. What is the capacitance between the conductor and the shield per mile? b. If the cable is 12 km long determine the total capacitance.arrow_forward16 50 yet answered 60 Question 46 The intrinsic impedance of a medium is given by impedance in free space is: -12 Hint: -8.854x10 and uo=4n X 10' H/m 2650 489 0 Marked out of 1920 377 0 Flag question --√ t Q.So the intrinsic Activate Windowsarrow_forward
- Insert a sheet of insulating material to fill the space between the two capacitive plates, so that the phase vector of the total voltage lags behind the phase vector of the current at an angle above the phase (53) Find the maximum capacity with the insulator (Ck .).arrow_forward2) Sketch the Nyqpoiet plot by hand Sor the following systeon, choosing the contour to be to the right of the singularity the jwn axis Nert , wsing on the Nuquist criterion determine the mge of K z0 for which the sustemn is sca ble. Then, redo the Nuguist plot, this time Choosing the contour to be to the left of the imaryi mary the singularity avris. Again; on Osing Phe Ny quist criterion check the of Kz0 for which the sustem is range stable. Are the conswers the same? Should then be K G(s) = R Csra)arrow_forwardamazing explanation i just have two inquiries, to find the angle is it always -tan^-1(w/3)? or does it vary depedning on the equation? and if it varies what is the general equation for it? and the second is for the magnitude. same thing is it always 6/radical(w^2 +9) or it depends on each case? and if so also please give the general equation with an explanation, thank you! DO NOT REPEAT THE QUESTION JUST ANSWER THESE INQUIRIES PLEASE AND THANK YOU.arrow_forward
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