Magnetic field due to a current carrying circular ring

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Question

The Earth’s magnetic field at a given point is 0.5 G. This field is to be annulled by magnetic induction at the centre of a circular coil of radius 5 cm. The current required to be flown in the loop is nearly

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Solution

$\begin{array}{l} B = \frac{μ_{0} i}{2 r} \Rightarrow i = \frac{2 B r}{μ_{0}} \\ i = \frac{2 \times 0 .5 \times 10^{- 4} \times 5 \times 10^{- 2}}{4 \times 3 .14 \times 10^{- 7}} = 4 A \end{array}$

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