4. Consider the following arbitrary fields. Find out which of them can possibly represent electrostatic or magnetostatic field in free space. (a) D = y²zax + 2(x + 1)yza, – (x + 1)z²a, (z+1) cos фар + sin ø (b) Е 1 (c) F = r2 : (2сos @a, + sin @ag)

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4. Consider the following arbitrary fields. Find out which of them can possibly represent
electrostatic or magnetostatic field in free space.
(a) D = y²zax + 2(x+ 1)yza, – (x + 1)z²a,
sin o
(b) E =
(z+1)
cOS фар +
(c) F = (2cos Oa, + sin 0ag)
r2
5. IfH — уах
xay A/m on plane z=0,
(a) Determine the current density, Ja and
(b) Verify Ampere's law by taking the circulation of H around the edge of the rectangle
z = 0,0 < x < 3, – 1 < y < 4.
Transcribed Image Text:4. Consider the following arbitrary fields. Find out which of them can possibly represent electrostatic or magnetostatic field in free space. (a) D = y²zax + 2(x+ 1)yza, – (x + 1)z²a, sin o (b) E = (z+1) cOS фар + (c) F = (2cos Oa, + sin 0ag) r2 5. IfH — уах xay A/m on plane z=0, (a) Determine the current density, Ja and (b) Verify Ampere's law by taking the circulation of H around the edge of the rectangle z = 0,0 < x < 3, – 1 < y < 4.
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