The primary and secondary coil of a transformer does not have any electrical contact. How is then electrical energy transferred from primary to secondary?

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Solution

When primary coil get supply of current it generate magnetic field and thus secondary coil get a flux due to being near to primary coil, as the current supplied to primary coil is always alternating current so its varying with time so the flux of secondary coil changes with time and thus $i n d u c e d$ current get generated in the secondary coil due to changing flux according to Len's Law.
This whole process is called Mutual Magnetic Induction and thus electrical energy transferred to secondary coil in form of $i n d u c e d$ current

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