A solenoid of length 0.5 ~m has a radius of 1 ~cm and is made up of ' m ' number of turns. It carries a current of 5 ~A . If the magnitude of the magnetic field inside the solenoid is 6.28 × 10^ -3 ~T then the value of

Correct answer: 0 μ_0 n i=B n= number of turns per unit length μ_0( m ) i=B aligned & m= B . μ_0 i = 6.28 × 10^ -3 × 0.5 12.56 × 10^ -7 × 5 & ~m=500 aligned

JEE Main 20245 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 5 April
Shift: Evening Shift
Subject: Physics
Chapter: Magnetic Effects of Current

JEE Main 2024 · 5 April · Evening Shift · Physics · Magnetic Effects of Current

A solenoid of length 0.5 ~m has a radius of 1 ~cm and is made up of...

A solenoid of length

0.5 \mathrm{~m}

has a radius of

1 \mathrm{~cm}

and is made up of '

\mathrm{m}

' number of turns. It carries a current of

5 \mathrm{~A}

. If the magnitude of the magnetic field inside the solenoid is

6.28 \times 10^{-3} \mathrm{~T}

then the value of

m

is _____.

Correct answer

Step-by-step solution

\mu_0 n i=B \quad n=

number of turns per unit length

\mu_0\left(\frac{\mathrm{m}}{\ell}\right)

\mathrm{i}=\mathrm{B}

\begin{aligned} & \mathrm{m}=\frac{B . \ell}{\mu_0 \mathrm{i}}=\frac{6.28 \times 10^{-3} \times 0.5}{12.56 \times 10^{-7} \times 5} \\ & \mathrm{~m}=500\end{aligned}

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