A) \[Wb/{{m}^{2}}\]
B) Henry (H)
C) \[H/{{m}^{2}}\]
D) Weber (Wb)
Correct Answer: B
Solution :
[b] Magnetic energy stored in an inductor |
\[=\frac{1}{2}L{{i}^{2}}=\frac{L{{Q}^{2}}}{2{{t}^{2}}}\] |
(\[L\to \]inductance, \[i\to \]current) |
Energy has the dimensions\[[M{{L}^{2}}{{T}^{-2}}]\]. |
Equate the dimensions, we have |
\[[M{{L}^{2}}{{T}^{-2}}]=(Henry)\times \frac{[{{Q}^{2}}]}{[{{T}^{2}}]}\] |
\[\Rightarrow \]\[[Henry]=\frac{[M{{L}^{2}}]}{[{{Q}^{2}}]}\] |
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