# Dimensions of Electric Field

## Dimensional Formula of Electric Field

The dimensional formula of electric field is given by,

M1 L1 I-1 T-3

Where,

• M = Mass
• I = Current
• L = Length
• T = Time

### Derivation

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].

### ⇒ Check Other Dimensional Formulas:

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