Q80 / 90 · JEE Main 2018 (08 Apr) · Physics

The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B1 . When the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is B2  . The ratio B1B2 is:

  • A
    12
  • B
    2
  • C
    3
  • Correct answer
    D
    2

Solution

m=magnetic dipole moment=IA. For Loop1, m=Iπr2, B1=μ0i2r
For Loop2. If current is constant m is doubled.  r 1 = 2 r .  B 2 = μ0 i 2 2 r .B1B2=2

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

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