Answer:
The
dimensions of R and L are : \[R=\text{ }\left[
{{\text{M}}^{\text{1}}}{{L}^{2}}{{T}^{-3}}{{\text{A}}^{-2}} \right]\]and \[L=[M{{L}^{2}}{{T}^{-2}}{{\text{A}}^{-2}}]\]
Now, \[\frac{L}{R}=\frac{M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}}{M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}}={{T}^{1}}\]
It represents time constant of RL
circuit.
Again, \[\frac{1}{2}L{{I}^{2}}=\left[
M{{L}^{2}}{{T}^{-2}}{{A}^{-2}} \right]\times {{A}^{2}}=\left[
{{M}^{1}}{{L}^{2}}{{T}^{-2}} \right]\]
It represents (magnetic) energy
stored in an inductor.
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