Magnetic Effects & Magnetism

JEE Main level, single correct, medium

54 of 276

Question 54 of 276

A long solenoid is formed by winding 7070 turns cm−1{cm}^{-1} . If 2.0A2.0A current flows, then the magnetic field produced inside the solenoid is ______________.
(µ0=4π×10–7TmA–1)({µ}_{0}=4\pi \times {10}^{–7}Tm{A}^{–1})

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Answer: (B) 176×10–4T176\times {10}^{–4}T

Magnetic field inside solenoid =μoni={\mu }_{o}ni
where n=n= Number of turns per unit length
n=7000n=7000 turns/m
Bsolenoid=μoni=4π×10−7×7000×2{B}_{\text{solenoid}}={\mu }_{o}ni=4\pi \times {10}^{-7}\times 7000\times 2
=8×227×10−6×7×100=8\times \dfrac{22}{7}\times {10}^{-6}\times 7\times 100
=176×10−4T=176\times {10}^{-4}T

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