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Magnetic Field Due to a Straight Current Carrying Conductor

What current ...

Question

What current must flow in a circular coil of 20 loops of radius 40 cm to produce a magnetic field of 3π * 10^-2T at its centre?

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Solution

We use the BIOT SAVART's law for finding the magnetic field B at the center of circular coil.

R= 0.40 m
N = loops = 20
Given B = 3π× 10-² T.

B = μ0 N I/ (2 R)
I = 2 B R /(μ0 N)
I = 23π×10-² 0.40 / (4π10^-7*20) A
I = 3000A.

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