The dimension of electromotive force are?

A. ML²T^-3I^-1
B. ML²T^-3I^-2
C. M²LT^-2I^-1
D. M²L²T^-1I^-1

Correct Answer:

Option A = ML²T^-3I^-1

Explanation

Electrical work W = QE,
Where Q is the quantity of change and E is the electromotive force.
∴ E = W = FxDQ_It
Where D is the displacement,I = current and t = time
But dimension of force,
= unit of mass x unit of Acceleration
= unit of mass xunit of velocityunit of time
= unit of mass x unit of displacement__unit of time x unit of time
ML/T² = MLT^-2
∴ Dimension of emf E
= MLT^-2L = ML²T^-3I^-1__IT