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At t=0, an inductor of zero resistance is joined to a cell of emf epsilon through a resistance. The current increases with a time constant tau. After what time will the potential difference across the coil be equal to that across the resistance ? |
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Answer» Solution :`V_(L)=V_(R)Ee^(-(Rt)/(L))=E(1-e^(-(Rt)/(L))) IMPLIES 2E^(-(Rt)/(L))=1, e^(-(R)/(L)t)=(1)/(2), e^((R)/(L)t)=2` `(Rt)/(L)=LN 2"(or)" t=(L)/(R)ln2` |
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