Question

What is the unit of electric work? Define it in relation to quantity of charge and potential difference.

Answer 1

To solve this question students should know what is derived units and fundamental units. The units of physical quantities which can be expressed in terms of fundamental units (mass, length and time) are called derived units. The physical units which can neither be derived from one another, nor they can be further resolved into more simpler units are called fundamental units. The units of fundamental quantities such as mass, length etc. are fundamental units. And electric work is a derived unit.

Complete step by step solution:
There are seven basic units: Meter (m) for length, kilogram (kg) for mass, second(s) for time, kelvin (K) for temperature, ampere (A) for electric current, candela (cd) for light intensity and mole (mol) for amount of substance.
Units of plane angle and solid angle are called supplementary units and they use Radian and Steradian respectively.
The units of electric work are derived units.
${\text{Electric work = Force }} \times {\text{ Displacement }}$
Its dimensional formula is $\left[ {{\text{M}}{{\text{L}}^2}{{\text{T}}^2}} \right]$
And the SI unit is joule or Nm
The joule (J): The work required to move an electric charge of one coulomb through an electrical potential difference of one volt, or one coulomb-volt (C⋅V). This relationship can be used to define the volt.
The joule is named after James Prescott Joule.

Note:
Mostly the derived units are the names of scientists. The unit is written without the capital as joule and not Joule. The symbols are put in capitals (J). The symbols of the units do not have a plural with added 's'. For example, the symbol for joule is J and not Js. That is, J is the symbol for both the joule as well as joules.