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  4. The dimensions of coefficient of self inductance are

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Q. The dimensions of coefficient of self inductance are

UPSEEUPSEE 2008Physical World, Units and Measurements

Solution:

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