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JEE Main202131 Aug 2021Evening ShiftPhysicsMagnetic Effects of CurrentActual

A long solenoid with 1000   turns   m - 1 has a core material with relative permeability 500 and volume 10 3   cm 3 . If the core material is replaced by another material having relative permeability of 750 with same volume maintaining same current of 0 . 75   A in the solenoid, the fractional change in the magnetic moment of the core would be approximately x 499 . Find the value of x .

Correct answer

0

Step-by-step solution

M → = magnetic   moment   m → V ⇒   χ H → = m → V ⇒   m → = μ r - 1 N i V ∴   Δ m m = [ 750 - 1 - 500 - 1 ] N i V 500 - 1 N i V = 250

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