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  4. The SI unit of the inductance, the henry can by written as

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Q. The SI unit of the inductance, the henry can by written as

IIT JEEIIT JEE 1998Physical World, Units and Measurements

Solution:

(a) $L=\frac{\phi}{i}$
or henry $=\frac{\text { weber }}{\text { ampere }}$
(b) $e=-L\left(\frac{d i}{d t}\right)$
$\therefore L=-\frac{e}{(d i / d t)}$
or henry $=\frac{\text { volt }-\text { second }}{\text { ampere }}$
(c) $U=\frac{1}{2} L i^{2} $
$\therefore L=\frac{2 U}{i^{2}} $
or henry $=\frac{\text { joule }}{(\text { ampere })^{2}}$
(d) $U=\frac{1}{2} L i^{2}=i^{2} R t$
$\therefore L=R t$
or henry $=$ ohm-second