A Helmholtz coil has a pair of loops, each with \( N \) turns and r...

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A Helmholtz coil has a pair of loops, each with \( N \) turns and radius \( R \). They are placed coaxially at
\( \mathrm{P} \) distance \( R \) and the same current \( I \) flows through the loops in the same direction. The magnitude of magnetic field at \( P \), midway between the centres \( A \) and \( C \), is given by
[Refer to given figure]
(a) \( \frac{4 N \mu_{0} I}{5^{1 / 2} R} \)
(b) \( \frac{4 N \mu_{0} I}{5^{3 / 2} R} \)
(c) \( \frac{8 N \mu_{0} I}{5^{3 / 2} R} \)
(d) \( \frac{8 N \mu_{0} I}{5^{1 / 2} R} \)
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