First slide

Magnetic field due to a current carrying circular ring

Question

1 m long wire is folded in form of a circular coil and 100 mA electric current is flowing in it, then magnetic field at a point 1m away from its centre on its axis :

Moderate

A

$\frac{10^{- 5}}{4 π} T$
B

$\frac{10^{- 8}}{2 π} T$
C

$\frac{10^{- 5}}{2 π} T$
D

$\frac{10^{- 8}}{4 π} T$

Solution

Radius of coil $R = \frac{1}{2 π} m$
$B = \frac{μ_{0} {NIR}^{2}}{2 {(R^{2} + x^{2})}^{3 / 2}} = \frac{10^{- 8}}{2 π} T$

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