A finite segment of a straight wire carrying current I in z-direction is shown in the figure. (a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint: S dx √x²+a² In(x + √√x² + a²) + C ] = (b) Assume the bottom of the segment (2₁) makes an angle of ₁ 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. [Hint: & (ln u) = ¹ ] dx U
A finite segment of a straight wire carrying current I in z-direction is shown in the figure. (a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint: S dx √x²+a² In(x + √√x² + a²) + C ] = (b) Assume the bottom of the segment (2₁) makes an angle of ₁ 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. [Hint: & (ln u) = ¹ ] dx U
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Transcribed Image Text:X
Z
Z2
I
Z1
Ф
0₂
d
014
P
y
![A finite segment of a straight wire carrying current I in z-direction is shown in the
figure.
(a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint:
In(x + √√x² + a²) + C ]
S
dx
√x²+a²
2
=
(b) Assume the bottom of the segment (z₁) makes an angle of 0₁ 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. [Hint:
ª(lnu) = ¹ ]
dx
น](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb8fd680-cfca-4893-af0e-517e818f5638%2F88324346-8c78-4bfb-877e-a75d1ae7291e%2Fvfdl6t_processed.png&w=3840&q=75)
Transcribed Image Text:A finite segment of a straight wire carrying current I in z-direction is shown in the
figure.
(a) Find the magnetic vector potential of this wire at point Pon the xy-plane. [Hint:
In(x + √√x² + a²) + C ]
S
dx
√x²+a²
2
=
(b) Assume the bottom of the segment (z₁) makes an angle of 0₁ 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. [Hint:
ª(lnu) = ¹ ]
dx
น
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