# Which of the following is the dimension of electrostatic potential?

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Which of the following is the dimension of electrostatic potential?
1. [ML2T-2 C]
2. [ML2T-3I-1]
3. [ML2T-1]
4. [M2L-2T-3]

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Correct Answer - Option 2 : [ML2T-3I-1]

CONCEPT

• The amount of work done in moving a unit positive charge in an electric field from infinity to that point without accelerating the charge against the direction of the electric field is electrostatic potential.
• The electrostatic potential is given by

$⇒ V = \frac{W}{q}$

Where V = Electrostatic potential , W = Work , q = Charge

• Dimensions are the power to fundamental quantities is to be raised to represent the quantity

EXPLANATION :

• The dimension of electrostatic potential can be found out as

$⇒ V = \frac{W}{q}$       ----(1)

• Dimension of work is

⇒ W = [ ML2T-2]

• The dimension q can be found out as

$\Rightarrow I = \frac{q}{t}$

$⇒ q = I\times t$

Substituting the proper dimensions

$⇒ q = [I]\times [T] = [IT]$

Substituting the dimension of q and W in equation 1

$⇒ V = \frac{[ML^{2}T^{-2}]}{[IT]} = [ML^{2}I^{-1}T^{-3}]$

• The dimension of V is [ML2T-3I-1]