MHT CET202410 May 2024Evening ShiftPhysicsMagnetic Effects of CurrentActual
A coil of ' n ' turns and radius ' R ' carries a current 'I'. It is unwound and rewound to make a new coil of radius R 3 and the same current is passed through it. The ratio of the magnetic moment of the new coil to that of the original coil is
Options
- A3
- B2
- C1 3
- D1 2
Correct answer
C. 1 3
Step-by-step solution
Let the initial magnetic moment be ₁=n₁ I A₁= n ₁ I R ₁ ^2 And, the final magnetic moment ₂= n ₂ I R ₂^2 Given, R ₁= R , R ₂= R 3 , n ₂=3 n ₁ ₂ ₁ = n ₂ n ₁ ( R ₂ R ₁ )^2=3 ( 1 3 )^2= 1 3