An electron moving in a circular orbit of radius R, with a period T is equivalent to a magnetic dipole of dipole moment

Question

An electron moving in a circular orbit of radius R, with a period T is equivalent to a magnetic dipole of dipole moment (A)  (2π Re/T)  (B)  (π eR/T)  (C)  (π eR2/T)  (D)  π R2eT

Tardigrade Admin · Accepted Answer

Dipole moment =i A=(e/T) ⋅ π R2=(π e R2/T)

Q. An electron moving in a circular orbit of radius $R$ , with a period $T$ is equivalent to a magnetic dipole of dipole moment

$\frac{2 π R e}{T}$

$\frac{π e R}{T}$

$\frac{π e R ^{2}}{T}$

$π R_{e}^{2} T$

Dipole moment $= i A = \frac{e}{T} \cdot π R^{2} = \frac{π e R ^{2}}{T}$

Q. An electron moving in a circular orbit of radius R, with a period T is equivalent to a magnetic dipole of dipole moment

T2πRe​

TπeR​

TπeR2​

πRe2​T