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In What Respect is a Toroid Different from a Solenoid?

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Question

In what respect is a toroid different from a solenoid? 

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Solution

Toroid 

• It is a hollow circular ring on which a large number of turns of a wire are closely wound.

• Three Amperian loops (1, 2, and 3) are shown by dotted lines.

• Magnetic field along loop 1 is zero because the loop encloses no current.

• Magnetic field along loop 3 is zero because the current coming out of the paper is cancelled exactly by the current going out of it.

• Magnetic field at S (along loop 2):

From Ampere’s law,

∴B (2πr) = μ0NI 

Where,

B → Magnetic field

r → Radius

I → Current

N → Number of turns of toroidal coil

`therefore B=(mu_0NI)/(2pir)`

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