Electric Intensity and its Dimensional Formula

Electric intensity is defined as the force acting per unit charge on a test charge placed at a point in an electric field. It is also known as electric field intensity or electric field strength. The dimensional formula of electric intensity is given by:

[M1L1T-3A-1]

Explanation:

- M stands for mass
- L stands for length
- T stands for time
- A stands for electric current

In the above formula, the dimensions of mass, length, and electric current are directly proportional to the dimensions of force, distance, and charge respectively, whereas the dimensions of time are inversely proportional to the dimensions of force.

The unit of electric intensity in the SI system is newton per coulomb (N/C) or volt per meter (V/m).

Importance of Dimensional Formula:

Dimensional formulas are important as they help us understand the physical quantities and their units. They also help in converting units from one system to another. Moreover, dimensional analysis helps in checking the correctness of equations and formulas.

Conclusion:

The correct dimensional formula of electric intensity is [M1L1T-3A-1]. It is important to understand the dimensional formula of electric intensity as it is a fundamental concept in the study of electromagnetism. Additionally, it also helps in solving numerical problems related to electric fields.