Dimension of Electric Field & its derivation

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Dimension of Electric Field: Electric Field is an invisible field surrounding electrically charged particles. Any charged particle that enters the field experiences a force which, depending upon the nature of the charge on it, repels or attracts it. The dimensional formula of electric field intensity is:

M1L1T -3 I -1

In this article, we tell you what is Dimension of Electric Field and its derivation.

Dimension of Electric Field & its derivation

See Also:

Dimension of Speed of LightDimension of Surface Tension
Dimension of WavelengthDimension of Tension

Derivation of Dimension of Electric Field | derivation of Electric Field Dimensional Formula

As we know that Electric Feld is equal to 

Electric~Field~(E)={Force~(F)}/{Charge~(q)}

Hence,

Dimension~of~Electric~Field~(E)={Dimension~of~Force~(F)}/{Dimension~of~Charge~(q)}

To calculate Dimensions of Charge q, we use the formula

i={q}/{t}

Where i is current, and

t is time

Hence,

Dimension~of~q={Dimension~of~i}*{Dimension~of~t}

Dimension~of~q=M^0L^0T^1I^1

The Dimensions of Force is 

M^1L^1T^{-2}

Thus, the Dimensional Formula of Electric Field Intensity is

{M^1L^1T^{-2}}/{M^0L^0T^1I^1} 

{M^1L^1T^{-3}I^{-1}} 

Hence proved that the Dimension of Electric Field is M1L1T -3I-1 

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