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JEE Main20238 Apr 2023Evening ShiftPhysicsMagnetic Effects of CurrentActual

The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is x : 1 . The value of x is _____.

Correct answer

0

Step-by-step solution

The formula to calculate the magnetic field at any axial point situated at a distance x from the centre of a circular current carrying conductor of radius r can be written as B = μ 0 I r 2 2 r 2 + x 2 3 / 2       . . . 1 Substitute 0 for x in equation (1) to calculate the magnetic field B c at the centre of the conductor. B c = μ 0 I r 2 2 r 2 + 0 2 3 / 2 =   μ 0 I r 2 2 r 3 = μ 0 I 2 r       . . . 2 Substitute r for x in equation (1) to calculate the magnetic

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