A finite segment of a straight wire carrying current / in z-direction is shown in the figure. (a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint: √x²+a² = ln(x + √√x² + a²) + C] dx S (b) Assume the bottom of the segment (z₁) makes an angle of e, and the top of the segment (2₂) makes and angle of 0₂ with the xy-plane. Calculate the expression for magnetic flux density of the segment at point Pin terms of I, p, sin 0₁, sin 0₂. [Hint: (lnu) = ²/²] u dx
A finite segment of a straight wire carrying current / in z-direction is shown in the figure. (a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint: √x²+a² = ln(x + √√x² + a²) + C] dx S (b) Assume the bottom of the segment (z₁) makes an angle of e, and the top of the segment (2₂) makes and angle of 0₂ with the xy-plane. Calculate the expression for magnetic flux density of the segment at point Pin terms of I, p, sin 0₁, sin 0₂. [Hint: (lnu) = ²/²] u dx
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![A finite segment of a straight wire carrying current / in z-direction is shown in the
figure.
(a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint:
√ √²+² = ln(x + √√x² + a²) + C ]
s
dx
(b) Assume the bottom of the segment (2₁) makes an angle of 0, and the top of the
segment (z₂) makes and angle of 0₂ with the xy-plane. Calculate the expression for
magnetic flux density of the segment at point Pin terms of I, p, sin 0₁, sin 0₂. [Hir
(In u) = "]
dx
U](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9722c3d3-d3a1-431e-b74f-7c157c9f230a%2Fafbb904a-cb66-4bc5-8682-14d70235fdd8%2Fuo1nmpq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A finite segment of a straight wire carrying current / in z-direction is shown in the
figure.
(a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint:
√ √²+² = ln(x + √√x² + a²) + C ]
s
dx
(b) Assume the bottom of the segment (2₁) makes an angle of 0, and the top of the
segment (z₂) makes and angle of 0₂ with the xy-plane. Calculate the expression for
magnetic flux density of the segment at point Pin terms of I, p, sin 0₁, sin 0₂. [Hir
(In u) = "]
dx
U
Transcribed Image Text:X
Z
22
I
Z1
ог
Фр
01
P
y
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