two charged plates are 2mm apart. An electron escapes from the negatively charged plate and reaches the positively charged plate in 1.2*10^-8 seconds. Find the electric field between the plates?

To find the electric field between the plates, we can use the formula:

Electric field (E) = Voltage (V) / Distance (d)

First, let's find the voltage between the plates. Since the two plates are charged, they create an electric potential difference (voltage) between them.

The voltage (V) can be calculated using the formula:

V = Ed

where E is the electric field and d is the distance between the plates.

Given:
Distance between the plates (d) = 2 mm = 0.002 m

Substituting this value into the formula gives:

V = E * 0.002

Now, let's calculate the velocity of the electron. We are given that the electron escapes from the negatively charged plate and reaches the positively charged plate in 1.2 * 10^-8 seconds.

The velocity (v) of the electron can be calculated using the formula:

v = d / t

where d is the distance traveled by the electron and t is the time taken. In this case, d is equal to the distance between the plates (0.002 m).

Substituting the values, we have:

v = 0.002 / (1.2 * 10^-8)

Now, since the electric field between the plates is responsible for the acceleration of the electron, we can use the formula:

v = E * t

Rearranging it to solve for E:

E = v / t

Substituting the values into the formula, we have:

E = 0.002 / (1.2 * 10^-8)

Calculating this expression gives us the value of the electric field (E) between the plates.