(a) An infinitely long filamentary wire carries a current of 2 A in the +z-direction. Calculate (i) Magnetic flux density, B at (-3, 4, 7) B = ay nWb/m² (ii) The flux through the square loop described by 2 < p < 6,0

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(a) An infinitely long filamentary wire carries a current of 2 A in the +z-direction.
Calculate
(i) Magnetic flux density, B at (-3, 4, 7)
B =
ay nWb/m²
(ii) The flux through the square loop described by 2 < p < 6,0 <z < 4, Q = 90°.
4 =
μWb
ax +
(b) Consider a two-wire transmission line whose cross section is illustrated in figure below. Each wire is of radius 2 cm and the wires are separated by 10 cm. The wire centered at (0, 0) carries
current 5 A while the other centered at (10 cm, 0) carries the return current.
4 cm
OI
Hol=
(i) Compute the magnetic field, |H| at P (5 cm, 0 cm) and Q (20 cm, 0 cm).
|H₂| =
A/m
10 cm
|H₂| =
(ii) Determine the magnetic field, [HI at the same point in (b)(i) if the return current at (10 cm, 0 cm) is changed to -2.5 A.
|H₂| =
A/m
A/m
x
A/m
Transcribed Image Text:(a) An infinitely long filamentary wire carries a current of 2 A in the +z-direction. Calculate (i) Magnetic flux density, B at (-3, 4, 7) B = ay nWb/m² (ii) The flux through the square loop described by 2 < p < 6,0 <z < 4, Q = 90°. 4 = μWb ax + (b) Consider a two-wire transmission line whose cross section is illustrated in figure below. Each wire is of radius 2 cm and the wires are separated by 10 cm. The wire centered at (0, 0) carries current 5 A while the other centered at (10 cm, 0) carries the return current. 4 cm OI Hol= (i) Compute the magnetic field, |H| at P (5 cm, 0 cm) and Q (20 cm, 0 cm). |H₂| = A/m 10 cm |H₂| = (ii) Determine the magnetic field, [HI at the same point in (b)(i) if the return current at (10 cm, 0 cm) is changed to -2.5 A. |H₂| = A/m A/m x A/m
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