Question

A circular current carrying coil has a radius \( R \). The distance from the center of the coil on the axis, where the magnetic induction will be \( \frac{1}{8} \) to its value at the center of the coil is?

• A. \( \frac{R}{\sqrt{3}} \)
• B. \( \frac{R}{\sqrt{5}} \)
• C. \( \sqrt{2} R \)
• D. \( \frac{2 R}{\sqrt{3}} \)

Hint:

The magnetic induction on the axis of a coil decreases as the distance from the coil increases.

Answer 1

The Correct Option is B

The magnetic induction at a point on the axis of a circular coil is related to the distance from the center of the coil. Using the formula for the magnetic field on the axis of a coil, the distance is calculated where the induction is \( \frac{1}{8} \) of the value at the center.