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CBSE Class 12-science Answered

What is the magnetic moment of an electron orbiting in a circular orbit of radius r with speed v?
Asked by Topperlearning User | 18 May, 2015, 03:49: PM
answered-by-expert Expert Answer

We know that the orbiting electron behaves as a current loop. The current due to orbital motion of electron is

begin mathsize 11px style straight I space equals space straight e over straight T space equals space fraction numerator straight e over denominator 2 πr divided by straight nu end fraction space equals space fraction numerator eν over denominator 2 πr end fraction end style

Area of the current loop (A) = πr²

Therefore, magnetic moment of current loop = IA

B = begin mathsize 11px style fraction numerator ev over denominator 2 πr end fraction space cross times space πr squared space equals space evr over 2 end style

                                                                        

Answered by | 18 May, 2015, 05:49: PM

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