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different way to find current

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skyhawk

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they found current by I=e/R

but i thought of finding it in
by e=-LI'

if i integrate I' ill get I
what wrong with that
??

Because the e in e=-LI' is not the 500V. The emf across the inductor is changing with time.

The maximum current occurs at steady state when the emf across L is zero. At steady state the entire 500V is across the resistor yielding maximum current.
 
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