The distance at which the magnetic field on axis as compared...

The distance at which the magnetic field on axis as compared to the mag. field at the centre of the coil carrying current I and radius $R$ is (1/8), would be
(a) $R$
(b) $\sqrt{2} \mathrm{R}$
(c) $2 \mathrm{R}$
(d) $\sqrt{3} \mathrm{R}$

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Key Concepts

Magnetic Field of a Current Loop

This concept involves calculating the magnetic field produced by a loop carrying current. It is derived using the Biot-Savart law and describes how the current distribution generates a field with a specific spatial dependence. The field at any point along the axis of the loop depends on the current, the radius of the loop, and the distance from the loop’s center.

Biot-Savart Law

The Biot-Savart law is a fundamental principle in electromagnetism that allows the calculation of the magnetic field generated by a small element of current. It forms the basis for deriving the magnetic field of various current configurations, including circular loops, and highlights how the contributions of these small elements combine to form the overall magnetic field.

Axial Magnetic Field Variation

This concept deals with the variation of the magnetic field along the central axis of a current loop. It is important for understanding how the magnetic field strength changes with distance from the loop, and it involves analyzing the field's dependence on both geometric factors and the inverse power relationship with the distance along the axis.

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