Electric Charge Formula
Since we define electric charge as a product of current flowing in a certain time.
Mathematically charge is represented as
Q = I.T
where,
- Q represents the Electric Charge
- I represents the Current Flowing
- T represents the Time
Derivation of Dimensional Formula of Charge
We derive a dimensional formula of charge. Since we can say the charge collected in a conductor having current in time t is represented as
Charge(q) = Current× Time
Dimensional formula of q = dimensional formula of (Current × Time)…(1)
Now we calculate the dimensional formula of each quantity individually
Dimensional formula of I = [M0L0A1]
Dimensional formula of T = [M0L0T1]
Putting all the above three-dimensional formulas in Equation (1) we get
Dimensional Formula of Charge = [M0L0A1] × [M0L0T1]
Dimensional Formula of Charge = [M0L0A1T1]
Hence, the dimensional formula of Charge is [AT]