a) Suppose an infinitely long cylindrical wire of radius a in a direction parallel with the z-axis is located at y =d carries volume current density of J = J₁₂ (A/m²) as shown in Fig. 4. Here J, is constant. Calculate magnetic flux density B everywhere due to only this infinitely long cylindrical wire. b) A loop of wire carrying a current of IA is in the shape of a right triangle with two equal sides, each with length has shown in the Fig. 4. The triangle lies within a magnetic field that is found in part a) (due to infinitely long wire). Calculate total the magnetic force exerted on the triangular loop. J = Jā (A/m²) -a #4 d- c+h y Fig. 4. An infinitely long cylindrical wire of radius a and atriangular loop.

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a) Suppose an infinitely long cylindrical wire of radius a in a direction parallel with the z-axis is located
at y =d carries volume current density of J = J₁ ā₂ (A/m²) as shown in Fig. 4. Here J is constant.
Calculate magnetic flux density B everywhere due to only this infinitely long cylindrical wire.
b) A loop of wire carrying a current of I A is in the shape of a right triangle with two equal sides, each
with length has shown in the Fig. 4. The triangle lies within a magnetic field that is found in part a)
(due to infinitely long wire). Calculate total the magnetic force exerted on the triangular loop.
N
←
d-
a
J = Jā₂ (A/m²)
4
C
c+h
Fig. 4. An infinitely long cylindrical wire of radius a and atriangular loop.
Transcribed Image Text:a) Suppose an infinitely long cylindrical wire of radius a in a direction parallel with the z-axis is located at y =d carries volume current density of J = J₁ ā₂ (A/m²) as shown in Fig. 4. Here J is constant. Calculate magnetic flux density B everywhere due to only this infinitely long cylindrical wire. b) A loop of wire carrying a current of I A is in the shape of a right triangle with two equal sides, each with length has shown in the Fig. 4. The triangle lies within a magnetic field that is found in part a) (due to infinitely long wire). Calculate total the magnetic force exerted on the triangular loop. N ← d- a J = Jā₂ (A/m²) 4 C c+h Fig. 4. An infinitely long cylindrical wire of radius a and atriangular loop.
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