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}}] $
