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 9.17P
The electric field intensity in the region 0<<em>x<5,0
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hello, i’m studying coordinate system from electromagnetics.
In the cartesian coordinate system, the coordinate variables x, y, and z are already length dimensions, so the scaling factors to convert them to length are hx=1, hy=1, and hz=1. In the cylindrical coordinate system, the scaling factors to convert the rho and z into length , are hrho=1 and hz=1.
A) what is the hpi that changes coordinate pi into the length?
B) in terms of spherical coordinates, what is the hr, htheta , hpi that changes ( r, theta, pi ) of spherical coordinate into the length?
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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- 2. In terms of general dielectric permittivity tensor, describe the linear, nonlinear media. For the linear media, describe the isotropic case, anisotropic case, chirality, nonreciprocity. Derive the reciprocity theorem from Maxwell's eqs. How to define whether a particular system obeys reciprocity?arrow_forwardThe intrinsic impedance of a medium is given by "1 impedance in free space is: Hint: -8.854x10¹ and μo -4m x 10' H/m 265 Q 48902 1920 377 0 -√ AQ.So the intrinsicarrow_forward(b) Find div F and curl F for F = x'y î- (z' – 3x) ĵ + 4y² k c) Determine whether these following pairs satisfy Maxwell's equations or not. [It means: by using Maxwell's differential equations, you have to figure out whether these equations are satisfying those four point relations or not] E= 2y ây , H = 5x âx E= 100 sin(6x10’t) sin(z) ây , H = -0.1328 cos(6×10't) cos(z) âxarrow_forward
- Which of the following for a Poynting vector S = Ex H related claims are true Select one or more: a. The unit of a Poynting vector is W m³ O b. The power travels in the direction of the Poynting vector D с. Power flows when the Poynting vector is zero J Od. The unit of a Poynting vector is m³ Oe. The Poynting vector consists of a time-independent term that describes the average propagating power density and the power oscillating at twice the angular velocity of the wave, whose mean value is zero. O f. The Poynting vector describes the advancing power per unit areaarrow_forwardThe second Maxwell equation for a static electric field is: Select your answer. -マV V -V Varrow_forwardmaxwell's Mech equation through op With tehe help Calailate tere current 3 Ohme All revictance HSDLOCO resistor in the network. are in oums e gene to 24V couboue 2A e 34 Cauce DO REDMI NOTE 9 @DOUBLE_Ü 3.arrow_forward
- Find the capacitance ( in units of pF) of a metallic sphere that has a radius of 27.4 cm immersed (ojgais) in a very large oil container with ( K=2.16). use ɛ0 = 8.8542x10-12 F · m-1. Metallic sphere Oil Select one: A. 65.85 В. 38.45 C. 16.46 D. 20.96 E. 1804.32arrow_forwardQ1) Write Maxwell's equations in differential, integral and phasor form, express the major contribution and corresponding laws of all equations. Differential Integral Phasor Corresponding Lawarrow_forwardThe electrostatic field intensity E is derivable as the negative gradient of a scalar potential V. Determine E at the point (1, 1, 0) if V = ER cos . Show the details of your work. Write your answer on a white typewriting paper, scan it in JPEG format, and paste it into the space provided below. ***arrow_forward
- + ea(t) Ra www J₁ = 4 kg-m² N₁ = 50 D₁ N₂= 150, D₂ = 36 N-m-s/rad 8 N-m-s/rad ½ = 36 kg-m²³ OL(1) T (N-m) 150 50 V 100 @ (rad/s) 4. (Draw the equivalent electrical network of the rotational system described in Problem 2.arrow_forwardSuppose that the electric potential varies along the x- axis as shown in the graph. The potential does not vary in the y or z directions. V(volts) b 15 10 -3 2 -10 a Of the intervals shown, determine the intervals in which the electric field has its largest and smallest magnitudes (i.e. the absolute value) and find those magnitudes. Ignore the behavior at the end points of the intervals. Emax Eminarrow_forwardSolve using Maxwell's Mesh Law and Kirchoff Current Law(KCL).arrow_forward
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