MHT CET202415 May 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual
Magnetic induction produced at the centre of a circular loop of radius ' R ' carrying a current is ' B '. The magnetic moment of the loop is ( ₀= permeability of free space)
Options
- ABR ^3 2 ₀
- B2 BR ^3 ₀
- CBR ^2 2 ₀
- D2 BR ^2 ₀
Correct answer
B. 2 BR ^3 ₀
Step-by-step solution
m = nIA For coil, magnetic induction at the centre, aligned & B= ₀ n I 2 R & I= B 2 R ₀ n & & For n=1, Area A= R^2 & & m= B 2 R ₀ R^2= 2 B R^3 ₀ aligned