Physics: Suppose a free electron in air is 1.3 cmcm away from a point charge. What minimum charge is needed to cause a breakdown and a spark as the electron moves toward the point charge?

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Suppose a free electron in air is 1.3 cmcm away

aprilkenedy12

18.01.2022

$6.19\times10^{-8}$ C

Explanation:

In order to cause a breakdown and a spark the electric field should be at least

E = $3.3\times10^{6} N/C$

We know that

a free electron in air is r = 1.3 cm away from a point charge.

$E=k \frac{q}{r^2}$

$k= \frac{1}{4\pi\epsilon_o}$

therefore,

$q= \frac{r^2E}{k}$

substituting the values we get

$q= \frac{(1.3\times10^{-2})^2(3.3\times10^6)}{9\times10^9}$

= $6.19\times10^{-8}$ C

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