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