eV as Unit of Potential Energy or Work

In this universe, there are two types of situations of the objects.

Some objects are in rest.

And some are in motion.

The objects which are in rest have potential energy and have zero kinetic energy .

Whereas moving objects have some kinetic energy .

And the change in kinetic energy is called work done .

And the unit of energy or work is joule.

But, is also a unit of work or energy.

Now, we will try to know as a unit of work or energy.

Let's discuss the eV as a unit of potential energy or work.

Suppose we have two metal strips separated by a distance and we connect these strips with the terminals of a battery.

Now, an electric field gets generated and electron starts moving with acceleration from cathode to anode.

The velocity of the electron at strip A is and the velocity of the electron at strip B is .

And will be , because, the initial velocity of an electron is zero.

Hence, the Kinetic energy of an electron at strip A is and calculated as,

Now, the gain in kinetic energy will be the difference in kinetic energy at two ends.

And this gain in kinetic energy equals the work done.

Since, the gain in kinetic energy by is equals to the loss of energy by battery in where .

Therefore, we can say that these three are equal.

Hence, . Therefore, we can say that is the work required to move through an electrical potential difference of .

Further, we will see dimension of .

Let's discuss the dimension of eV with an example.

To know the dimension of , we will convert into Joules.

From the above solution, we can say that the unit of eV is Joule.

The dimension of a unit is given in the form of .

Revision

is the work required to move through an electrical potential difference of .

The dimension of a unit is given in the form of .

The End