Question

The dimensions of coefficient of self inductance are

• A. $[M{L}^2{T}^{-2}{A}^{-2}]$
• B. $[M{L}^2{T}^{-2}{A}^{-1}]$
• C. $[ML{T}^{-2}{A}^{-2}]$
• D. $[ML{T}^{-2}{A}^{-1}]$

Answer 1

Answer: (A)

$U=\frac{1}{2}L{I}^2$
$\Rightarrow L=\frac{2U}{I^2}$
$\therefore \left[L\right]=\frac{\left[U\right]}{{\left[I\right]}^2}$
$=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[A^2\right]}$
$=\left[M{L}^2{T}^{-2}{A}^{-2}\right]$