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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Magnetic Effects of Current

BITSAT 2021 · Physics · Magnetic Effects of Current

A solenoid is 2 m long and 3 cm in diameter. It has 5 layers of...

A solenoid is 2m2 \mathrm{ m} long and 3cm3 \mathrm{ cm} in diameter. It has 5 layers of winding of 1000 turns each and carries a current of 5A5 \mathrm{ A}. What is the magnetic field at its centre ? Use the standard value of μ0\mu_{0}.

Options

  1. A1.57×10−4T1.57 \times 10^{-4} \mathrm{ T}
  2. B2.57×10−3T2.57 \times 10^{-3} \mathrm{ T}
  3. C1.57×10−2T1.57 \times 10^{-2} \mathrm{ T}
  4. D3.57×10−6T3.57 \times 10^{-6} \mathrm{ T}

Correct answer

C. 1.57×10−2T1.57 \times 10^{-2} \mathrm{ T}

Step-by-step solution

Length of solenoid, l=2ml=2 \mathrm{ m} Total number of turns, N=5×1000=5000\mathrm{N}=5 \times 1000=5000 Number of turns per unit length, n=Nl=50002=2500m−1\mathrm{n}=\frac{\mathrm{N}}{l}=\frac{5000}{2}=2500 \mathrm{ m}^{-1} Current, I = 5A Now, B =μ0nI=4π×10−7×2500×5T=1.57×10−2T=\mu_{0} \mathrm{nI}=4 \pi \times 10^{-7} \times 2500 \times 5 \mathrm{ T}=1.57 \times 10^{-2} \mathrm{ T}
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