Dimensional Formula of Electric Field
The dimensional formula of electric field is given by,
M1 L1 I-1 T-3
- M = Mass
- I = Current
- L = Length
- T = Time
Electric Field (E) = Force × [Charge]-1 . . . . (1)
Since, electric charge = electric current × time
∴ The dimensional formula of electric charge = [I1 T1] . . . . . (2)
And, Force (F) = Mass × Acceleration = M × [LT-2]
∴ The dimensional formula of force = M1 L1 T-2 . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Electric Field = Force × [Charge]-1
Or, E = [M1 L1 T-2] × [I1 T1]-1 = [M1 L1 T-3 I-1].
Therefore, the Electric Field is dimensionally represented as [M1 L1 I-1 T-3].