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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

    • Posted by Sudhanshu Ram Tripathi 5 years, 1 month ago

    CBSE > Class 12 > Physics
    • 1 answers

    Gaurav Seth 5 years, 1 month 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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