Question

A current flowing in a circular coil is just sufficient to cancel the effect of a magnetic field at the centre whose strength is 44 * 10 -8 gauss. The coil has 700 turns and its radius is 50 cm. calculate the value of current in amperes

Answer 1

Using Biot Savart's law, magnetic field B at a point on the axis of a circular coil = $\frac{\mu_0ni}{2a}Cos^3\theta$

θ =  0 for center of coil.  The magnetic field intensity or flux density  B at the center of a circular coil :

$B=44*10^{-8}Gauss*10^{-4}T/Gauss\\\\=\frac{4\pi*10^{-7}T-mA^{-1}*700*i}{2*0.50m}\\\\i=5*10^{-8}Amp$

It is easier to convert quantities into SI units. and calculate the results.

Answer 2

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