1.

A solenoid of resistance R and inductance L has a piece of soft iron inside it. A battery of emf E and of negligible internal resistance is connected across the solenoid as shown in Fig. At any instant, the piece of soft iron is pulled out suddenly so that inductance of the solenoid decrease to etaL(eta lt 1) with battery remaining connected. Power supplied by the battery as a function of time

Answer»

<P>`P=(E^(2))/R [1+(1-(1)/(ETA))e^(-t/(lambda))]`
`P=(E^(2))/R [1+(1+(1)/(eta))e^(-t/(lambda))]`
`P=(E^(2))/R [1-(1+(1)/(eta))e^(-t/(lambda))]`
`P=(E^(2))/R [1-(1-(1)/(eta))e^(-t/(lambda))]`

Solution :`P=Ei=(E^2)/(R)[1-(1-(1)/(eta))e^(-t//lambda)]`


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