Question

Using Bohr model, calculate the electric current created by the electron when the $H-atom$ is in the ground state.

Answer 1

Time period for the electron's rotation,

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

$v=$ orbital velocity of electron.

$T=$ time period of the electron.

$r=$ Bohr radius

we know current,

$I=\frac{q}{T}=\frac{e}{T}$

Substituting value of $T$, we get,

$I=\frac{e}{\frac{2\pi r}{v}}=\frac{ev}{2\pi r}$

$\text{Final Answer}:\frac{ev}{2\pi r}$