PHYS200 Electricity and Magnetism Toroid Physics Question

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PHYS200

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N turns Axis 2.(10 points) A toroid is basically a solenoid set up so the two ends meet like a donut. If you have a toroid with N closely spaced turns carrying current I, use Ampère's law to find an expression for the magnetic field strength at a point inside the torus at distance r from the axis. Work must be shown to get full credit!! os
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Explanation & Answer

Here is the answer

Using Biot-Savart law, the field at point 𝒓 due to the current element at 𝒓′ is:
𝒅𝑩 =

̂ ′
𝛍𝟎 𝑰 × 𝓻
𝒅𝒍
3
𝟒...


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