A Helmholtz coil has pair of loops, each with N turns and radius R . They are placed coaxially at 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 cen

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A Helmholtz coil has pair of loops, each with N turns and radius R . They are placed coaxially at 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 figure):

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Correct answer: B. 8 N ₀ I 5^ 3 / 2 R

Point P is situated at the mid-point of the line joining the centres of the circular wires which have same radii (R). The magnetic fields ( B ) at P due to the currents in the wires are in same direction. Magnitude of magnetic field at point, PB=2 ₀ N I R^2 2 (R^2+ R^2 4 )^ 3 / 2 = ₀ N I R^2 5^ 3 / 2 8 = 8 ₀ N I 5^ 3 / 2 R

A Helmholtz coil has pair of loops, each with N turns and radius R . They are placed coaxially at 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 figure):

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