Explanation Given: Radius r = 4 The sphere is centered at ( 0 , 0 , 3 ) H = 3 ρ a ϕ Calculation: A disk of below given radius is the intersection of the sphere and the x - y plane, ρ d = 4 2 − 3 2 = 7 Therefore, the curl of the field will come out to be ∇ × H = 1 ρ d d ρ ( ρ H ϕ ) a z ∇ × H = 1 ρ d d ρ ( 3 ρ 2 ) a z ∇ × H

9th Edition

ISBN: 9780078028151

Author: Hayt, William H. (william Hart), Jr, BUCK, John A.

Publisher: Mcgraw-hill Education,

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Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the…

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Chapter 7, Problem 7.26P

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The value of ∫s1(∇×H)⋅dS.

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Chapter 7, Problem 7.25P

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Chapter 7 Solutions

Engineering Electromagnetics

Ch. 7 - Find H in rectangular components at P(2,3,4) if...Ch. 7 - Prob. 7.2P Ch. 7 - Prob. 7.3P Ch. 7 - Prob. 7.4P Ch. 7 - The parallel filamentary conductors shown in...Ch. 7 - A disk of radius a lies in the xy plane, with z...Ch. 7 - Prob. 7.7P Ch. 7 - For the finite-length current element on the z...Ch. 7 - Prob. 7.9P Ch. 7 - Prob. 7.10P

Ch. 7 - A solenoid of radius a and of length. L is...Ch. 7 - Prob. 7.12P Ch. 7 - Prob. 7.13P Ch. 7 - Prob. 7.14P Ch. 7 - Prob. 7.15P Ch. 7 - A current filament carrying I in the -az direction...Ch. 7 - Prob. 7.17P Ch. 7 - Prob. 7.18P Ch. 7 - Prob. 7.19P Ch. 7 - A solid conductor of circular cross section with a...Ch. 7 - Prob. 7.21P Ch. 7 - Prob. 7.22P Ch. 7 - Prob. 7.23P Ch. 7 - Prob. 7.24P Ch. 7 - Prob. 7.25P Ch. 7 - Prob. 7.26P Ch. 7 - The magnetic field intensity is given in a certain...Ch. 7 - Given H=(3r2/sin)a+54rcosa A/m in free space: (a)...Ch. 7 - Prob. 7.29P Ch. 7 - Prob. 7.30P Ch. 7 - Prob. 7.31P Ch. 7 - Prob. 7.32P Ch. 7 - Use an expansion in rectangular coordinates to...Ch. 7 - A filamentary conductor on the z axis carries a...Ch. 7 - A current sheet K = 20 az A/m, is located at p =...Ch. 7 - Let A= (3y-z)ax+2xzayWb/m in a certain regin of...Ch. 7 - Let/N=1000, I=.08 A, p0=2 cm and a=.08 cm for the...Ch. 7 - A square filamentary differential current loop, dL...Ch. 7 - Prob. 7.39P Ch. 7 - Show that the line integral of the vector...Ch. 7 - Prob. 7.41P Ch. 7 - Show that 2(1/R12)=1(1/R12)=R21/R312.Ch. 7 - Compute the vector magnetic potential within the...Ch. 7 - Prob. 7.44P

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