JEE MainPhysicsMagnetic Properties of Matter
A long solenoid has 500 turns per meter and carries a current of 4 A . When the space inside the solenoid is filled with a magnetic material, the fractional increase in the magnetic field is observed to be 2 10⁻⁵ . The magnetization of the core material is:
Options
- A2 10⁻⁵ A/m
- B2000 A/m
- C0.04 A/m
- D8 10⁻⁵ A/m
Correct answer
C. 0.04 A/m
Step-by-step solution
The fractional increase in the magnetic field inside the solenoid is equal to the magnetic susceptibility of the material. Therefore, = 2 10⁻⁵ . The magnetic intensity H inside the solenoid is given by H = nI , where n is the number of turns per unit length and I is the current. H = 500 4 = 2000 A/m . The magnetization M of the material is related to the magnetic intensity by the relation M = H . M = (2 10⁻⁵) 2000 = 0.04 A/m . Answer: 0.04 A/m