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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2020 · Physics · Magnetic Effects of Current

A long solenoid of 50cm length having 100 turns carries a current...

A long solenoid of 50cm50cm length having 100100 turns carries a current of 2.5A2.5A. The magnetic field at the centre of the solenoid is:
(μ0=4π×10−7TmA−1)\left({\mu}_{0} = 4\pi \times {10}^{- 7}Tm{A}^{- 1}\right)

Options

  1. A3.14×10–4T3.14 \times {10}^{– 4}T
  2. B6.28×10–5T6.28 \times {10}^{– 5}T
  3. C3.14×10–5T3.14 \times {10}^{– 5}T
  4. D6.28×10–4T6.28 \times {10}^{– 4}T

Correct answer

D. 6.28×10–4T6.28 \times {10}^{– 4}T

Step-by-step solution

The magnetic field at the centre of the solenoid is given by, B=μ0niB = {\mu}_{0}ni

Where nn is the number of turns per unit length
⇒B=4π×10−7×100(0.5)×2.5⇒ B = 4\pi \times {10}^{- 7} \times \dfrac{100}{( 0 . 5 )} \times 2 . 5
⇒B=6.28×10−4T⇒ B = 6 . 28 \times {10}^{- 4}\text{T}

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