A coil of inductance 2   H having negligible resistance is connected to a source of supply whose…

A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V=3t volt. (where t is in second). If the voltage is applied when t=0, then the energy stored in the coil after 4 s in J,

Solution

ε=LdIdt

304tdt=201dI

32×16=2I

I=12

V=12LI2=12×2122=144 J

Asked in: JEE Main 2021 (25 Feb Shift 1)

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