d-Has 10 molecuies/a x Q5: A) Derive Poisson's and Laplace's equations. B) Two infinite line currents I₁ = 6 az A at x=y=4 and I₂ = 3 āx A at z = 3, y = -6. Calculate B at (0, 0, 0). 06: magnetic field intensity may be

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d- Has 10 molecules/mo
xQ5:
A) Derive Poisson's and Laplace's equations.
B) Two infinite line currents I₁ = 6 az A at x=y=4 and I2 = 3 āx A at z = 3, y = -6.
Calculate B at (0, 0, 0).
06:
magnetic field intensity may be
Transcribed Image Text:d- Has 10 molecules/mo xQ5: A) Derive Poisson's and Laplace's equations. B) Two infinite line currents I₁ = 6 az A at x=y=4 and I2 = 3 āx A at z = 3, y = -6. Calculate B at (0, 0, 0). 06: magnetic field intensity may be
Ex2:-Two infinite line current I₁ = 2ay A at x = z = 4 and I₂ = 4āx at y-3, z =-6. Calculate
Hat (0,0,0).
Iy
(hy)
Solution :-
At (0,0,0) then use
H= a
1₂
2πP₂
4₁ = 2A
P₁
= -4āx - 4āz, |p₁|=√32
āØ₁ =āl₁ Xāp₁ = ay X
xã xi
āØ₁ = (āz - āx)
4
√32
H₂
=
1₂
2πP2
:. āØ₂
"
H₁ = 2√32(a2-x)]=¹(az - āx)
- a02
PART
= ax x
ap
√32
√45
P₂ = −3āy+6āz, | p₂|=√45.ap₂ = y + z
32
جامع ارة - ax
كلية الهندسة
-āx 12
xay + ²)√45-az-2ay)
45m
āz)
√32
4
:: H₂ = 2^5 (2ãy + āz)]=[-2āy — āz]
..
2RV4545
:. H = H₂ + H₂= ay+ (1-5)āz
45m
8π
ANI قسم الهندسة الكه
AL EN
H = -0.04āx -0.085ãy -0.002āz
I
A/m
Foly
Transcribed Image Text:Ex2:-Two infinite line current I₁ = 2ay A at x = z = 4 and I₂ = 4āx at y-3, z =-6. Calculate Hat (0,0,0). Iy (hy) Solution :- At (0,0,0) then use H= a 1₂ 2πP₂ 4₁ = 2A P₁ = -4āx - 4āz, |p₁|=√32 āØ₁ =āl₁ Xāp₁ = ay X xã xi āØ₁ = (āz - āx) 4 √32 H₂ = 1₂ 2πP2 :. āØ₂ " H₁ = 2√32(a2-x)]=¹(az - āx) - a02 PART = ax x ap √32 √45 P₂ = −3āy+6āz, | p₂|=√45.ap₂ = y + z 32 جامع ارة - ax كلية الهندسة -āx 12 xay + ²)√45-az-2ay) 45m āz) √32 4 :: H₂ = 2^5 (2ãy + āz)]=[-2āy — āz] .. 2RV4545 :. H = H₂ + H₂= ay+ (1-5)āz 45m 8π ANI قسم الهندسة الكه AL EN H = -0.04āx -0.085ãy -0.002āz I A/m Foly
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