Question

the magnitude of magnetic moment of an electron orbiting in a circular orbit og radius r with a speed v Is equal to​

Answer 1

Answer:

the magnitude of magnetic moment of an electron orbiting in a circular orbit is $M = \frac{evr}{2}$

Explanation:

Here the speed of the electron is given as v

orbital radius is given as r

now the time period of circular path is given as

$T = \frac{2\pi r}{v}$

now the electric current due to revolution of electron is given as

$i = \frac{Q}{T}$

$i = \frac{ev}{2\pi r}$

now magnetic moment of the electron revolution is given as product of electric current and area

$M = i A$

$M = \frac{ev}{2\pi r} (\pi r^2)$

$M = \frac{evr}{2}$

#Learn

Topic : Magnetic Moment

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