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JEE Main 202125 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
25 February
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Induction

JEE Main 2021 · 25 February · Morning Shift · Physics · Electromagnetic Induction

A coil of inductance 2H having negligible resistance is connected...

A coil of inductance 2H2H having negligible resistance is connected to a source of supply whose voltage is given by V=3tV = 3t volt. (where tt is in second). If the voltage is applied when t=0t = 0, then the energy stored in the coil after 4s4s in JJ,A coil of inductance 2H having negligible resistance is connected to a source of supply whose voltage is given by V =

Correct answer

144

Step-by-step solution

ε=LdIdtε = \dfrac{LdI}{dt}

3∫04tdt=2∫01dI3{∫}_{0}^{4}tdt = 2{∫}_{0}^{1}dI

32×16=2I\dfrac{3}{2} \times 16 = 2I

I=12I = 12

V=12LI2=12×2(12)2=144JV = \dfrac{1}{2}L{I}^{2} = \dfrac{1}{2} \times 2{\left(12\right)}^{2} = 144J

A coil of inductance 2H having negligible resistance is connected to a source of supply whose voltage is given by V =

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