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:

• Dimensions of Newton
• Dimensions of Pressure Gradient
• Dimensions of Momentum
• Dimensions of Universal Gas Constant
• Dimensions of Gravitational Potential Energy