A particle of mass m and carrying charge -q_1 | vedclass

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Question

(a)

$\frac{m v^2}{r}=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q_1 q_2}{r^2}$

$v=\left[\frac{1}{4 \pi \varepsilon_0} \frac{q_1 q_2}{r m}\right]^

Vedclass · Accepted Answer

$\sqrt{\frac{16 \pi^3 \varepsilon_0 m r^3}{q_1 q_2}}$

Vedclass · Answer

(a)

$\frac{m v^2}{r}=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q_1 q_2}{r^2}$

$v=\left[\frac{1}{4 \pi \varepsilon_0} \frac{q_1 q_2}{r m}\right]^{\frac{1}{2}}$

For $1$ trip

$T=\frac{2 \pi r}{v}=2 \pi r\left[4 \pi \varepsilon_0 m r\right]\left[q_1 q_2\right]^{\frac{1}{2}}$

$T=\sqrt{\frac{16 \pi^3 \varepsilon_0 m r^3}{q_1 q_2}}$

A particle of mass $m$ and carrying charge $-q_1$ is moving around a charge $+q_2$ along a circular path of radius r. Find period of revolution of the charge $-q_1$

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