A toroidal solenoid is shown in the image. To make one you wrap wire around a donut (torus) shape. In this case the donut is nonconducting. Consider a toroid with an inner radius of 1.0 cm and an outer radius of 2.0 cm that has 100 closely spaced turns carrying current of 200 mA. a. Please draw the magnetic field lines for this solenoid, labeling where it is strongest and where it is zero (or close to zero). b. Use Ampère's law to find the magnetic field strength at a point inside the torus at distance r = 1.2 cm from the center of the toroid. c. Is a toroidal magnetic field a uniform/constant field like the infinite solenoid? Explain.

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Ampere’s Law

A toroidal solenoid is shown in the image. To make one you
wrap wire around a donut (torus) shape. In this case the
donut is nonconducting. Consider a toroid with an inner
radius of 1.0 cm and an outer radius of 2.0 cm that has 100
closely spaced turns carrying current of 200 mA.
a. Please draw the magnetic field lines for this solenoid,
labeling where it is strongest and where it is zero (or close to zero).
b. Use Ampère's law to find the magnetic field strength at a point inside the torus at distance r
= 1.2 cm from the center of the toroid.
c. Is a toroidal magnetic field a uniform/constant field like the infinite solenoid? Explain.
Transcribed Image Text:A toroidal solenoid is shown in the image. To make one you wrap wire around a donut (torus) shape. In this case the donut is nonconducting. Consider a toroid with an inner radius of 1.0 cm and an outer radius of 2.0 cm that has 100 closely spaced turns carrying current of 200 mA. a. Please draw the magnetic field lines for this solenoid, labeling where it is strongest and where it is zero (or close to zero). b. Use Ampère's law to find the magnetic field strength at a point inside the torus at distance r = 1.2 cm from the center of the toroid. c. Is a toroidal magnetic field a uniform/constant field like the infinite solenoid? Explain.
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