Dimensional Formula of EMF (Electromotive Force)

The dimensional formula of EMF (Electromotive Force) is given by,

M¹ L² T^-3 I^-1

Where,

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

Derivation

Electromotive Force, EMF (ε) = Work Done × [Charge]^-1.  . . . (1)

Since, Work Done = Force × displacement

= Mass × acceleration × displacement = [M] × [M⁰ L¹ T^-2] × [L]

Therefore, the dimensional formula of work done = M¹ L² T^-2 . . . . (2)

And, Charge = current × time

∴ The dimensional formula of charge = I¹ T¹ . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Electromotive Force = Work Done × [Charge]^-1

Or, ε = [M¹ L² T^-2] × [I¹ T¹]^-1 = [M¹ L² T^-3 I^-1].

Therefore, Electromotive Force or EMF is dimensionally represented as [M¹ L² T^-3 I^-1].

⇒ Check Other Dimensional Formulas:

• Dimensions of Pressure Gradient
• Dimensions of Current Density
• Dimensions of Impedance
• Dimensions of Linear Density
• Dimensions of Rotational Kinetic Energy