Question

State relationship between $1$ volt and $1$ joule.

Answer 1

Hint: Follow the basic concepts of the volts and joules and define them by using its correlation for the required relation. Like the work done can be expressed in various ways and the MKS unit of work done is Newton into metre, but we will use its SI unit, i.e. Joule as per the required solution.

Complete step by step answer:
The voltage, the electric potential difference, the electric pressure or the electric tension of the charge is measured in the volts. It is defined as the work done per unit of charge to move the charge between the two points. In the international system of units, the derived unit for the voltage or the potential difference is termed as the volt and it is denoted by v. The unit for the electric potential difference, the volt is named in the honour of the Italian physicist Alessandro Volta, who invented the voltaic pile.
In other words, the electric potential of the charge is defined as the work required for moving the unit positive charges from infinity to the given point.
$V = \dfrac{W}{Q}$
Where, unit of work (w) in the international systems of units is named in the honour of the English physicist James Prescott Joule as the joules and the electric charge (Q) is measured in coulomb which was named in honour of the French physicist Charles-Augustin de Coulomb.
One volt can be defined as the energy consumption of one joule per electric charge of the one coulomb.
One joule can be defined as the amount of work done by the force of one Newton which displaces the body through the distance of one metre in the direction of the force applied.
One coulomb can be defined as the quantity of the electricity transported in one second by the current of one ampere.
$1\;{\text{volt = }}\dfrac{{1\;{\text{Joule}}}}{{1\,{\text{coulomb}}}}$

Note:
Always remember the units, derived units and SI units of the physical quantities to get the relation between the two or more physical quantities. Always check the given units and the units asked in the solutions. All the quantities should have the same system of units. There are three types of the system of units.
MKS System (Metre Kilogram Second)
CGS System (Centimetre Gram Second)
System International (SI)
Also, remember the conversional relations among the system of units to make all the given units in the same format.