Q-1) There exists a conducting ABC triangle wire given in Figure 1. Corners of the triangle have the following coordinates A = dâx, = aây, c = aâz A DC current of Io Amperes are flowing through in the flowing direction (C→ A→B →C) and the medium permeability is \µ. Find the magnetic flux density vector B at the origin 0(0, 0,0) Hints: You may one or two expressions below while solving: C A a a 0 a B y Ho

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Q-1) There exists a conducting ABC triangle wire given in Figure 1. Corners of the triangle have the
following coordinates
†Ã = dâx‚†³ = Aây,ửc = aâz
A DC current of Io Amperes are flowing through in the flowing direction (C→ A→B → C) and the medium
permeability is μo. Find the magnetic flux density vector B at the origin 0(0, 0,0)
Hints: You may one or two expressions below while solving:
Hints:
a
lo
A
a
B
a
A
Ho
Figure 1. The geometry of Q-1.
Transcribed Image Text:Q-1) There exists a conducting ABC triangle wire given in Figure 1. Corners of the triangle have the following coordinates †Ã = dâx‚†³ = Aây,ửc = aâz A DC current of Io Amperes are flowing through in the flowing direction (C→ A→B → C) and the medium permeability is μo. Find the magnetic flux density vector B at the origin 0(0, 0,0) Hints: You may one or two expressions below while solving: Hints: a lo A a B a A Ho Figure 1. The geometry of Q-1.
Hints:
S
1
√Ax² + Bx + C
1
Ax² + Bx + C
1
S.
dx =
dx =
In
(Ax² + Bx + C)²
- dx =
B + 2Ax
2√Ā
2arctan
+√Ax² + Bx + C
√Ā
B + 2Ax
√4ACB2)
4AC - B²
(2B + 4Ax)
(B² − 4AC)√Ax² + Bx + C
Transcribed Image Text:Hints: S 1 √Ax² + Bx + C 1 Ax² + Bx + C 1 S. dx = dx = In (Ax² + Bx + C)² - dx = B + 2Ax 2√Ā 2arctan +√Ax² + Bx + C √Ā B + 2Ax √4ACB2) 4AC - B² (2B + 4Ax) (B² − 4AC)√Ax² + Bx + C
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