The magnetic field at the center of a current carrying circular loop of radius $R$ is $16\mu ext{ }

Question

The magnetic field at the center of a current carrying circular loop of radius $R$ is $16\mu	ext{ }T$. The magnetic field at a distance $x = \sqrt{3}R$ on its axis from the centre is $\_\_\_\_$ $\mu T$.

Accepted Answer

$\frac{\mu_{0}I}{2R} = 16\mu	ext{ }T$$$\frac{\mu_{0}{IR}^{2}}{2\left( x^{2} + R^{2} ight)^{3/2}} = \frac{\mu_{0}{IR}^{2}}{2 	imes 8R^{3}} = 2\mu	ext{ }T$$

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