Q151 / 160 · TS EAMCET 2021 (04 Aug Shift 2) · Physics

The magnetic field intensity (H) at the centre of a long solenoid carrying a current of 2 A, is found to be 1000 A. The number of turns per centimeter of the solenoid is
( Use μ0=4π×10-7 T m A-1)

  • A
    500
  • B
    50
  • Correct answer
    C
    5
  • D
    100

Solution

The magnetic field at the centre of a long solenoid is given by in terms of magnetic permeability in free space, 

B=μ0ni             ...(1).

And magnetic intensity is given by

H=Bμ0

∴H=ni,              [using 1]

⇒1000=n×2

⇒n=500 turns meter-1

⇒n=5 turns cm-1

Hence, the correct answer is option: 'C'.

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