# Dimensional Formula of Charge

The dimensional formula of Charge is

[ M0  L0  T1 A1 ]

where [M], [L], [T], and [A] are the fundamental quantities: Mass, Length, Time, and Ampere.

From the above formula, the dimensions of charge are (0, 0, 1, 1).

## How to calculate the dimensional formula of charge?

We can use the mathematical formula of charge to derive its dimensional formula.

``````
Charge = Current * time
``````

Dimensionally, we use [A] to represent current and [T] for time.

``````
Charge = [A] * [T].
``````

Also, it doesn’t have fundamental quantities, mass, and length, so we can use [M0] and [L0] which means 1. Now the formula becomes

``````
Charge = [M0] * [L0] * [T1] * [A1]
``````

Hence, the dimensional equation of Charge is q = [ M0 L0 T1 A1 ].

1. What is the dimensional formula of Coulomb?

Coulomb is not a separate physical quantity, instead, it’s the SI unit of charge. Hence, it will have the same dimensional formula as the charge, [ M0 L0 T1 A1 ].

2. What is the dimensional formula of electric charge?

Electric charge and charge are the same, so they have the same dimensional formula.

3. What is the dimensions of q?

q is the symbol of charge, so the dimensions of q are (0, 0, 1, 1) in terms of mass, length, time, and ampere.

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