1.

Show how a current loop acts as a magnetic dipole. Derive an expression for its magnetic moment.

Answer»

Solution :Let us consider a circular wire carrying current which is flowing in anticlockwise direction as shown in the figure. This current loop ACTS as a magnetic dipole and lower FACE acts on S-pole and upper face acts as a N-pole.
Let us find the magnetic dipole moment.
Magnetic dipole moment (M)
Let I be current flowing in the circular loop and A be area of the loop.
It is found experimentally that the magnetic dipole moment M is
(i) directly proportional to strength of current
`i.e.""MpropI`
(II) directly proportional to area A of the loop
`i.e.""MpropA`

Combining these two parameters, we GET
`MpropIA`
or `M=kIA`
If k = 1, then
M = IA
In vector FORM,
`vecM=IAhatn`
or `vecM=IvecA`


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