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Prove that the energy stored in …

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Prove that the energy stored in an inductor is 1/2 Li^2
  • 1 answers

Gaurav Seth 4 years, 10 months ago

Self Inductance of a coil is the magnetic flux linked with the coil when the current through coil is IA

ϕ=li where L is the constant of proportionality .

Let a source of emf be connected to an inductor L 

With increase in current ,the opposite emf ,e=−Ldtdi​

Work done dw=∣e∣idt=Lidtdi​dt=Lidi

W=∫0i​Lidi=21​Li2

Energy stored in magnetic inductor,U=21​Li2

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