Question

Dimension Formula of Electromotive Force
What are Dimensional formula of electromotive force?

Answer 1

m^1 l^2 t^-3 i^-1....it is the answer of your question

Answer 2

Dimension Formula of Electromotive Force is $\left[M L^{2} T^{-3} I^{-1}\right]$

Solution:

The electromotive force is given by the formula:

$\frac{Work \ done}{Charge}$

Therefore,

$Work \ done = force \times displacement$

Work done has dimension $\Rightarrow W = [M L T^{-2}] \times [ L ]$

$W = [M L^2 T^{-2}]$

And the dimension for the charge be,

$q = current \times time$

$q = [ I ] \times [ T ]$

$q = [I T]$

Thereby,

$E M F=\frac{W}{q}$

$E M F=\frac{\left[M L^{2} T^{-2}\right]}{[I T]}$

$\Rightarrow E M F=\left[M L^{2} T^{-3} I^{-1}\right]$