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The magnetic field due to 0.1 A current flowing through a circular coil of radius 0.1 m and 1000 turns, at the centre of the coil, is

Asked in AIPMT 1999 · Centre and axis of a loop

Answer: (1) 6.28×10⁻⁴ T

Step-by-step solution

Given: N=1000, I=0.1 A, r=0.1 m.

Idea: B=(μ₀NI)/(2r) at the centre of a coil.

Numerator: μ₀NI=4π×10⁻⁷×1000×0.1=4π×10⁻⁵.

Denominator: 2r=0.2 m.

B=(4π×10⁻⁵)/(0.2)=2π×10⁻⁴.

B=6.28×10⁻⁴ T.

Why the other options are wrong

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