Question

How much work is done in moving a electron between 2 points at a potential difference of 20v​

Answer 1

ㅤㅤㅤㅤㅤ Provided Data :

• Potential Difference → 20 Volts.

ㅤㅤㅤㅤ ㅤㅤProblem :

• Find out the work Done.

ㅤㅤㅤAppropriate Answer

Electric Potential ~

• The electric potential at any point in an electric field is the ratio of the amount of work done in moving the charge from infinity to that point of charge.

• V = W/Q

ㅤㅤ ✮ Working Rule ✮

Now, we have to find the work done , so we are going to convert the formula a little bit. Therefore, as according to the formula work done is equal to the potential into charge.

• W → V × Q

We have,

• Q = 1.6 × $10^{-19}$ coulomb
• ∆V = 20 Volt

As from our knowledge we know,

Work done = Potential Difference × Charge

$\boxed{W = V × Q}$

Where,

" W " → Work Done

" V " → Potential Difference

" Q " → Charge

Now,

Substituting the respective values, we get

$\implies$W = 20 × 1.6 × $10^{-19}$

$\implies$32 × $10^{-19}$ Joules

The amount of work done in moving an electron between two points at potential difference of 20 volts is 32 × $10^{-19}$ Joules.

This is almost negligible work. This is also the reason that movement of electron ( mass = 9.1 × $10^{-19}$) is so easy.