Question

A particle of mass $m$ having a charge $q$ moves in a circular orbit with a speed $v$ about an infinite line charge. Calculate the line charge density in terms of $m$, $q$ and $v$.

• A. $\frac{2\pi {ϵ}_{0}m{v}^2}{q}$
• B. $\frac{4\pi {ϵ}_{0}m{v}^2}{q}$
• C. $\frac{\pi {ϵ}_{0}m{v}^2}{q}$
• D. $\frac{2\pi {ϵ}_{0}m{v}^2}{2q}$

Answer 1

The correct option is A $\frac{2\pi {ϵ}_{0}m{v}^2}{q}$