A closely packed coil having 1000 turns has an average radius of 62.8 ~cm . If current carried by the wire of the coil is 1 ~A , the value of magnetic field produced at the centre of the coil will be (permeability of

Correct answer: D. 10^ -3 ~T As, magnetic field at centre of coil, aligned B & = μ_0 ~N i 2 R B & = 4 π × 10^ -7 × 1000 × 1 2 × 62.8 × 10^ -2 & = 4 × 3.14 × 10^ -7 × 10^3 2 × 62.8 × 10^ -2 & =10^ -3 ~T aligned

NEET 2022

Exam: NEET
Year: 2022
Subject: Physics
Chapter: Magnetic Effects of Current

NEET 2022 · Physics · Magnetic Effects of Current

A closely packed coil having 1000 turns has an average radius of...

A closely packed coil having 1000 turns has an average radius of

62.8 \mathrm{~cm}

. If current carried by the wire of the coil is

1 \mathrm{~A}

, the value of magnetic field produced at the centre of the coil will be (permeability of free space

=4 \pi \times 10^7 \mathrm{H} / \mathrm{m}

) nearly:

Options

A $10^{-1} \mathrm{~T}$
B $10^{-2} \mathrm{~T}$
C $10^2 \mathrm{~T}$
D $10^{-3} \mathrm{~T}$

Correct answer

D. $10^{-3} \mathrm{~T}$

Step-by-step solution

As, magnetic field at centre of coil,

\begin{aligned} B & =\frac{\mu_0 \mathrm{~N} i}{2 \mathrm{R}} \\ \mathrm{B} & =\frac{4 \pi \times 10^{-7} \times 1000 \times 1}{2 \times 62.8 \times 10^{-2}} \\ & =\frac{4 \times 3.14 \times 10^{-7} \times 10^3}{2 \times 62.8 \times 10^{-2}} \\ & =10^{-3} \mathrm{~T} \end{aligned}

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