Question

What will be the dipole moment if a dipole with L length an electric dipoles is converted into a semicircle?​

Answer 1

Answer:

see attachment,

length L ,long wire is bent in the shape of semicircle of radius r .

then, length of wire = circumference of semicircle

L = πr => r = L/2π

now, magnetic dipole = magnetic dipole moment × minimum separation between two dipoles

here ( in pic ) it is clear that , minimum separation between dipoles is 2r = 2L/π

hence, magnetic dipole = M × 2L/π = 2ML/π

Answer 2

Your answer is-:::

Let us consider a wire of length L and radius r.

It is bent in a semiircular shape.

HenceLength of wire=circumference of semicircle

L=πr

r=L/π

Formula to be used Dipole moment=magnetic moment x minimum separation between two dipoles

Minimum seperation is 2r=2[L/π] [ since shape is semicircle]

Magnetic dipole=Mx 2L/π=2ML/π