A) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{-2]}}]\]
B) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{-1}}]\]
C) \[[ML{{T}^{-2}}{{A}^{-2}}]\]
D) \[[ML{{T}^{-2}}{{A}^{-1}}]\]
Correct Answer: A
Solution :
[a] Energy stored in an inductor, \[U=\frac{1}{2}L{{I}^{2}}\] \[\Rightarrow \,\,L=\frac{2U}{{{I}^{2}}}\] \[\therefore \,\,\,\,[L]=\frac{[M{{L}^{2}}{{T}^{-2}}]}{{{[A]}^{2}}}=[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\]
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