An electron is released from rest at a distance d = 100 m from an infinite conducting plane. The electron will begin to move tow

Question

4 months ago

11

ards the plane due to charge induction in the plane. How long will take for the electron to strike the plane?

1 answer:

Softa [3K] · Answer 1 · 2026-02-22T10:40:44+03:00

Answer:

t=89.44 seconds

Explanation:

Given:

Distance d= 100 m

Mass of the electron

$m=9.11\times 10^{-31}kg$

Force acting on the electron

$F=\dfrac{Kq^2}{d^2}$

By substituting the values of K and the charge of the electron:

$F=\dfrac{Kq^2}{d^2}$

$F=\dfrac{9\times 10^9(1.6\times 10^{-19})^2}{100^2}$

$F=2.3\times 10^{-32}$

Knowing that

F= m a

Thus, the electron's acceleration

a=F/m

$a=\dfrac{2.3\times 10^{-32}}{9.11\times 10^{-31}}\ m/s^2$

$a=0.025\ m/s^2$

Since the electron starts from rest, we have u= 0

$100=\dfrac{1}{2}\times 0.025^2\times t^2$

t=89.44 seconds

The time it takes for the electron to reach the plane is 89.44 seconds.