A circular loop of radius, a carrying current I₁ is located in the x-y plane as shown in Figure Q1. In addition, an infinitely long wire carrying current 1₂ in a direction parallel with z-axis is located at y = yo. (i) Show that the magnetic field intensity, H₁ at point P (0, 0, h) due to the circular loop is given by Ĥ₁ 1₁a² -2 2(a² +h²)³/2 (A/m) (ii) Evaluate the total magnetic field intensity, H at point P (0, 0, h) due to the circular loop and infinitely long wire for a = 3 cm, yo = 10cm, h = 4 cm, I₁ = 10 A and I₂ = 20 A. P(0,0,h) 1₂ a = Figure Q(1)
A circular loop of radius, a carrying current I₁ is located in the x-y plane as shown in Figure Q1. In addition, an infinitely long wire carrying current 1₂ in a direction parallel with z-axis is located at y = yo. (i) Show that the magnetic field intensity, H₁ at point P (0, 0, h) due to the circular loop is given by Ĥ₁ 1₁a² -2 2(a² +h²)³/2 (A/m) (ii) Evaluate the total magnetic field intensity, H at point P (0, 0, h) due to the circular loop and infinitely long wire for a = 3 cm, yo = 10cm, h = 4 cm, I₁ = 10 A and I₂ = 20 A. P(0,0,h) 1₂ a = Figure Q(1)
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Transcribed Image Text:1.
A circular loop of radius, a carrying current I₁ is located in the x-y plane as shown in
Figure Q1. In addition, an infinitely long wire carrying current 1₂ in a direction parallel
with z-axis is located at y = yo.
(i)
Show that the magnetic field intensity, H₁ at point P (0, 0, h) due to the circular
loop is given by
Ĥ₁
=
1₁a²
2(a² +h²)³/22 (A/m)
(ii)
Evaluate the total magnetic field intensity, H at point P (0, 0, h ) due to the
circular loop and infinitely long wire for a = 3 cm, yo = 10cm, h = 4 cm,
I₁ = 10 A and I₂ = 20 A.
P(0,0,h)
1₂
a
Figure Q(1)
Yo
N
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