Question

Write the expression for the equivalent magnetic moment of a planer current loop of area $A$. having $N$ turns and carrying a current $i$. Use the expression to find the magnetic dipole moment of a revolving electron.

Answer 1

for a revolviing electron$.$

for $1$ revolution number of terms$=1$

$i=\frac{e}{t}$

$=\frac{eV}{2\pi R}$

$M=iNA$

$=\frac{eV}{2\pi R}\times 1\times \pi R^2$

$=\frac{eVR}{2}$

we get$,$

$\frac{eVR}{2}$