A Helmholtz coil has a pair of loops, each with $N$ turns and radius $R$. They are placed coaxially at distance $R$ and the same current ${\rm I}$ flows through the loops in the same direction. $P,$ midway between the centers $A$ and $C$, is given by [Refer to figure given below] :
${{8N{\mu _0}{\rm I}} \over {{5^{1/2}}R}}$
${{8N{\mu _0}{\rm I}} \over {{5^{3/2}}R}}$
${{4N{\mu _0}{\rm I}} \over {{5^{1/2}}R}}$
${{4N{\mu _0}{\rm I}} \over {{5^{3/2}}R}}$
Solution
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