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Moving Charges and Magnetism question

2022 · Q142
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Moving Charges and Magnetism question

2022 · Q142

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1

A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is

  1. A
    6.28 ×\times× 10−-−2 T
  2. B
    12.56 ×\times× 10−-−2 T
  3. C
    12.56 ×\times× 10−-−4 T
  4. D
    6.28 ×\times× 10−-−4 T
View written solutionFree

Correct answer: B

We know, magnetic field at centre of solenoid

$$B = {\mu _0}{N \over l}l = {\mu _0}nl$$ $$\left[ {n = {N \over l}} \right]$$

$$ = 4\pi \times {10^{ - 7}} \times 100 \times {10^3} \times 1$$ $$\left[ {n = {{100} \over {{{10}^{ - 3}}}}} \right]$$

$$ = 4\pi \times {10^{ - 2}}T$$

$$B = 12.56 \times {10^{ - 2}}T$$

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