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

11 days 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 [913] · 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.