Question

If $L$ denotes the inductance of an inductor through which a current $i$ is flowing, the dimensions of $L{i}^2$ are

• A. $\left[M{L}^2{T}^{-2}\right]$
• B. $\left[ML{T}^{-2}\right]$
• C. $\left[M^2{L}^2{T}^{-2}\right]$
• D. not expressible in $M,L,T$

Answer 1

The correct option is A $\left[M{L}^2{T}^{-2}\right]$

Energy stored in an inductor $=\frac{1}{2}L{i}^2=\left[Energy\right]=\left[M{L}^2{T}^{-2}\right]$