JEE Main202429 Jan 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual
The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of 20 cm from its center is 1 . 5 × 10 - 5 T m . The magnetic moment of the dipole is _______ A m 2 . (Given : μ 0 4 π = 10 - 7 T m A - 1 )
Correct answer
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Step-by-step solution
The formula to calculate the magnetic potential due to a magnetic dipole can be written as V = μ 0 4 π M r 2 . . . 1 Substitute the values of the known parameters into equation (1) and solve to calculate the required magnetic moment of the dipole. 1 . 5 × 10 - 5 = 10 - 7 × M 20 × 10 - 2 2 ⇒ M = 1 . 5 × 10 - 5 × 20 × 20 × 10 - 4 10 - 7 ⇒ M = 1 . 5 × 4 = 6 A m 2