Dimension Formula of Electric Potential and its Derivation

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Dimension Formula of Electric Potential: Electric Potential is the amount of Work needed to be done on a unit charge to move it from one point in an electric field to another. The Dimension of Electric Potential is 

M1L2T -3I -1

 The formula expressing Electric Potential is as follows

Electric Potential~(V)~=~{Work~Done~(W)}/{Charge~(q)}

Dimension Formula of Electric Potential

This article provides you Dimension of Electric Potential and its derivation.

Dimension Formula of Electric Potential and Its Derivation

As mentioned above

Electric Potential(V)~=~{Work~Done~(W)}/{Charge~(q)}

Hence

The Dimension of Work Done is calculated as follows:

Work~Done~(W)~=~Force~*~Distance

Also See

Dimension of Electric FieldDimension of Surface Tension
Dimension of Speed of LightDimension of Wavelength

To find Dimension of Force:

Acceleration~=~{Change~In~Velocity}/{Time~Period}

Hence

Dimension~of~Acceleration~=~{Dimesion~of~Velocity}/{Dimesion~of~Time}

=~{M^0L^1T^{-1}}/{M^0L^0T^1}

=~M^0L^1T^{-2}

Now,

Force~=Mass~*~Acceleration

Dimension~of~Force~=~Dimension~of~Mass~*~Dimension~of~Acceleration

=~M^1L^0T^0~*~M^0L^1T^{-2}

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

Now,

Dimension~of~Work~Done~(W)~=~Dimension~of~Force~*~Dimension~of~Distance

=~M^1L^1T^{-2}~*~M^0L^1T^0

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

Now

Dimension~of~Electric~Potential~(V)~=~{Dimension~of~Work~Done~(W)}/{Dimension~of~Charge~(q)}

=~{M^1L^2T^{-2}}/{M^0L^0T^1I^1}

Hence

Dimension~of~Electric~Potential~(V)~=~M^1L^2T^{-3}I^{-1}

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