Question

Show that the rate of change of magnetic flux has the same units as induced emf

Answer 1

$$\begin{gathered} Diemnsionofmagneticfield: \\ B=M{T}^{-1}{C}^{-1} \\ dimensionofemf=M{L}^2{T}^{-2}{C}^{-1} \\ Dimensionofarea=L^2 \\ Dimensionoftime=\left[T\right] \\ rateofchangeoffluxisgivenby: \\ \frac{BA}{time}=\frac{\left[M{T}^{-1}{C}^{-1}\right]\left[L^2\right]}{\left[T\right]}=\left[M{L}^2{T}^{-2}{C}^{-1}\right] \\ hencedimentionofrateofchangeofmagneticfluxissameastheemfinduced. \end{gathered}$$