Problem 1 Problem: This problem takes you through the steps needed to calculate the magnetic field of a toroidal solenoid from Ampere's Law. A toroidal solenoid is a solenoid wrapped on a circular tube. The appropriate Amperian path is drawn as a dashed line in the figure to the right. The radius of the path is r. Assume the circles with radii a, b, andr are all in the same plane. The solenoid is wound with N turns. (a)lf current I flows through the wire, what is Iene? (b)Evaluate f B. de. The reasoning is the same as for cylin- drical symmetry. (c)Calculate the magnetic field of a toroidal solenoid.

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Problem 1
Problem: This problem takes you through the steps needed to
calculate the magnetic field of a toroidal solenoid from Ampere's
Law. A toroidal solenoid is a solenoid wrapped on a circular tube.
The appropriate Amperian path is drawn as a dashed line in the
figure to the right. The radius of the path is r. Assume the circles
with radii a, b, and r are all in the same plane. The solenoid is
wound with N turns.
(a)lf current I flows through the wire, what is Iene?
(b)Evaluate fB- de. The reasoning is the same as for cylin-
drical symmetry.
(c)Calculate the magnetic field of a toroidal solenoid.
Transcribed Image Text:Problem 1 Problem: This problem takes you through the steps needed to calculate the magnetic field of a toroidal solenoid from Ampere's Law. A toroidal solenoid is a solenoid wrapped on a circular tube. The appropriate Amperian path is drawn as a dashed line in the figure to the right. The radius of the path is r. Assume the circles with radii a, b, and r are all in the same plane. The solenoid is wound with N turns. (a)lf current I flows through the wire, what is Iene? (b)Evaluate fB- de. The reasoning is the same as for cylin- drical symmetry. (c)Calculate the magnetic field of a toroidal solenoid.
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