Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Magnetism and Matter

Question:

A coil of radius 5cm has 98 closely wound turns of a metal wire. Magnetic field of strength$ 6.2 \times 10^{-3}T$ is produced at the centre of this coil, when a current of 5.2 A is passes through it.Magnetic field of same strength is to be produced at the centre of another coil with 10cm radius. select the correct possible way to do so.

Options:

Current of 10.4A should be passed through the second coil of 98 turns.

The second coil should be made with 196 turns and a current of 10.4 A should be passed through it.

The second coil should be made with 49 turns and a current of 5.2 A should be passed through it.

The second coil should be made with 196 turns and a current of 2.6 A should be passed through it.

Correct Answer:

Current of 10.4A should be passed through the second coil of 98 turns.

Explanation:

$ B = \frac{\mu_0 NI}{2 R} $

$\text{Magnetic Field is propotional to }\frac{NI}{R}$

$\text{Correct option is 2}$