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Q.

A coil of inductance 2H and negligible resistance is connected to a source of supply whose voltage, in volt, is given by V=4t. If the voltage is applied when t=0 then the energy stored in the coil in 4s is ___ joule.

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answer is 256.

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Detailed Solution

VL=LdIdt
4t=2dIdt⇒dI=2tdt⇒I=∫dI⇒I=2∫04 tdt
=2(16)2=16AU=12LI2=12(2)(16)2=256J

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