The SI unit of self inductance or coefficient of self induction or inductance as it is commonly called is called the henry (H).
The self-inductance of a coil is 1 henry, if an emf of 1 volt is induced in the coil when the current through the same coil changes at the rate of 1 ampere per second.
The dimensions of self inductance or coefficient of self induction are [ML2T-2 I-2 ].
1 henry = 1 H = 1 V/A.s = 1 T.m2 /A
[ Note : The unit henry is named in honour of Joseph Henry (1797-1878) US physicist.]