Electromagnetic Induction and Alternating Current 7 Question 20

####20. The change in the magnetic dipole moment associated with the orbit, at the end of the time interval of the magnetic field change, is

(a) γBQR2

(b) vBQR22

(c) γBQR22

(d) γBQR2

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Answer:

Correct Answer: 20. (b)

Solution:

  1. ML=Q2m

M=Q2mLML, where γ=Q2m

=Q2m(Iω)=Q2m(mR2ω)=QωR22

Induced electric field is opposite direction. Therefore,

ω=ωαtα=τI=(QE)RmR2=(Q)BR2RmR2=QB2mω=ωQB2m1=ωQB2mMf=QωR22=QωQB2mR22

ΔM=MfMi=Q2BR24mM=γQBR22(γ=Q2m)



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