AIIMS2012PhysicsMagnetic Effects of Current
Assertion : A planar circular loop of area A and carrying current I is equivalent to magnetic dipole of dipole moment M=I A . Reason : At large distances, magnetic field of circular loop and magnetic dipole is same.
Options
- AIf both assertion and reason are true and reason is the correct explanation of assertion.
- BIf both assertion and reason are true but reason is not the correct explanation of assertion.
- CIf assertion is true but reason is false.
- DIf both assertion and reason are false.
Correct answer
A. If both assertion and reason are true and reason is the correct explanation of assertion.
Step-by-step solution
Magnetic field due to a circular loop carrying current I is given as B= ₀ 4 2 I r^2 (r^2+x^2 )^ 3 / 2 where, r= radius of loop x= distance from centre of loop For large distances, (x>>r) , B= ₀ 4 2 I A x^3 = ₀ 4 2 M x^3 where M=I A= magnetic dipole moment of current loop which is equal to the magnetic field due to magnetic dipole. Thus, the current loop can be considered as a magnetic dipole.