Please don't use Chatgpt will upvote and give handwritten solution 3.9.10Using Maxwell's equations, show that for a system (steady current) the magnetic vectorpotential A satisfies a vector Poisson equation,V²A=-μJ,provided we require V. A=0.

Here is the step-by-step explanation of the concept:The vector Poisson equation for the magnetic…

Answered: 3.9.10 Using Maxwell's equations, show…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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14) y A a B a E C D a A closed-loop shown in the figure consists of N the number of turns and staying in a uniform magnetic field given by B = -î +j + k (T). Ignore the magnetic field created by the current- carrying loop. Find the magnitude of the magnetic force exerted on BC wire (in units of Newton), the magnetic dipole moment i of the current loop (in units of A.m?), and the torque acting on the loop (in units of N.m) in terms of unit vectors. What is the potential energy of the loop in units of Joule? N = 10;I = 1 A; a = 1 cm a) Fac = 1 x 10-2(-i + i); ji = 1 x 10-3 (i +j +), 7 = 1 x 10-3 (i + + 2k); U = -5 x 10- b) Fac = 1x 10-(-i- R); ū = 1 × 10-3 (i + j +); # = 1 × 10- ( -+ 2k); U = -5 x 10- c) Fac = 1x 10-2 (i + j); i = 1x 10- (i+ j+k); i = 1 x 10- (-- + 2k); U = -5 x 10-4 BC d) Fac = 1 x 10-2(i - ); ji = 1 x 10-3 (i + j+k); i = 1x 10 (-i+j+ 2k); U = o e) Fac = 1x 10-2 (e + R); µ = 1 x 10-3 (t+ j+R); i = 1 x 10-3 (21 --R); U = -5 x 10-4
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3.9.10 Using Maxwell's equations, show that for a system (steady current) the magnetic vector potential A satisfies a vector Poisson equation, V²A=-μJ, provided we require V. A=0.