Physics And Measurement Question 233

Question: The dimensions of coefficient of self-inductance are

Options:

A) $ [ML^{2}{{T}^{-2}}{{A}^{-2]}}] $

B) $ [ML^{2}{{T}^{-2}}{{A}^{-1}}] $

C) $ [ML{{T}^{-2}}{{A}^{-2}}] $

D) $ [ML{{T}^{-2}}{{A}^{-1}}] $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Energy stored in an inductor, $ U=\frac{1}{2}LI^{2} $
$ \Rightarrow L=\frac{2U}{I^{2}} $
$ \therefore [L]=\frac{[ML^{2}{{T}^{-2}}]}{{{[A]}^{2}}}=[ML^{2}{{T}^{-2}}{{A}^{-2}}] $



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