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PhysicsMagnetismBiot-savart's & Ampere's Circuital lawHard2 minPYQ_2024

PhysicsHardnumerical

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 $6.28 \times 1 0^{- 3} T$ then the value of $m$ is _____.

Answer:

500.00

Solution:

$μ_{0} ni = B n =$ number of turns per unit length $μ_{0} (\frac{m}{ℓ}) i = B$ $m = \frac{B . ℓ}{μ _{0} i} = \frac{6.28 \times 1 0 ^{- 3} \times 0.5}{12.56 \times 1 0 ^{- 7} \times 5} m = 500$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law

⏱ 2mℹ️ Source: PYQ_2024

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