A solenoid of length 0.5 m has a radius of 1 cm and is made up of number of turns. It carries a current of 5 A. If the magnitude of the magnetic field inside the solenoid is then the value of m is

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Solution

Q.
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 $6.28 \times 10^{- 3} T$ then the value of $m$ is _______ . [2024]

Ans.
(500) $μ_{0} n i = B$

$n$ = number of turns per unit length

$μ_{0} (\frac{m}{l}) i = B$

$m = \frac{B . l}{μ_{0} i} = \frac{6.28 \times 10^{- 3} \times 0.5}{12.56 \times 10^{- 7} \times 5} = 500$

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