Question

An electron enters in a uniform electric field maintained by parallel plates and of value E V/m with a velocity v m/s. If the plates are separated by a distance d m , then the acceleration of the electron in the field is

Answer 1

The acceleration of the electron will be a =  eE / m

Explanation:

We are given that:

• Velocity of electron = v m/s
• Electric field = E V/m
• Acceleration a = ?

Solution:

As we know that

F = eE

Therefore acceleration in the electron due to force F.

a = F / m = eE / m

Thus the acceleration of the electron will be a =  eE / m

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An electron is emitted with a velocity of 5×10 6 m/s. It is accelerated by an electric field in the direction of initial velocity at 3×10 14 m/s^2. If its final velocity is 7×10 6 m/s; calculate the distance covered by electron.  ?

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Answer 2

The acceleration of the electron in the field is eE/m

Given:

Electric field = E V/m

Velocity = v m/s

Distance between plates = d m

Explanation:

The force excreted by electrons is given by the formula:

F = eE

Where, e = Charge of electron

Now, the acceleration is in terms of force is given by the formula:

F = ma

Now, the acceleration is:

a = F/m

On substituting force formula in above equation, we get,

a = eE/m