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Mutual Induction

A circular co...

Question

A circular coil of $200$ turns and of radius $20 c m$ carries a current of $5 A$ . Calculate the magnetic induction at a point along its axis, at a distance three times the radius of the coil from its centre.

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Solution

Given:
$n = 200 a = 20 c m = .2 m I = 5 A x = 3 a$

$B = \frac{n μ_{0} I a^{2}}{2 (a^{2} + x^{2})^{3 / 2}}$

Substitution and simplification
$B = 9.9 \times 10^{- 5} T$

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