The dimensions of the rate of change of magnetic flux are :
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Remember Faraday's law:
\[
\mathcal{E}=-\frac{d\Phi}{dt}.
\]
Therefore, the dimensions of the rate of change of magnetic flux are always the same as the dimensions of emf:
\[
[M\,L^{2}\,T^{-3}\,A^{-1}].
\]