3 Assume that a wire is placed on z axis with a current I. According to Ampere law, we have B dr = pol where C is the closed curve r(t) = (r cos(t), r sin(t), 0). If the magnetic field B created by the current is given by B = (-B2,B",0) where r is the constant radial distance from the z axis, show that the magnitude B of the magnetic %3D Hol field is B: 2ar

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3 Assume that a wire is placed on z axis with a current I. According to
Ampere law, we have
B dr uol
where C is the closed curve r(t) = (r cos(t), r sin(t), 0). If the magnetic field B
created by the current is given by B (-B", B",0) where r is the constant
radial distance from the z axis, show that the magnitude B of the magnetic
Hol
field is B
2nr
Transcribed Image Text:3 Assume that a wire is placed on z axis with a current I. According to Ampere law, we have B dr uol where C is the closed curve r(t) = (r cos(t), r sin(t), 0). If the magnetic field B created by the current is given by B (-B", B",0) where r is the constant radial distance from the z axis, show that the magnitude B of the magnetic Hol field is B 2nr
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