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At t=0, an inductor of zero resistance is joined to a cell of emfepsi 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` `E^((Rt)/(L)) = E (1- e^((Rt)/(L)))` ` rArr 2E^(-(Rt)/(L)) = 1 , e^(-R/L t) = 1/2 , e^(R/L t) = 2` ` (Rt)/(L)= LN 2(or )t = L/R ln 2` |
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