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A coil of self inductance50 blank h e n r y is joined to the terminals of a battery of e.m.f. 2 blank v o l t s through a resistance of 10 blank o h m blankand a steady current is flowing through the circuit. If the battery is now disconnected, the time in which the current will decay to 1/e of its steady value is

  1. 500 blank s e c o n d s  
  2. 50 blank s e c o n d s  
  3. 5 blank s e c o n d s  
  4. 0.5 blank s e c o n d s  

The correct answer is: 5 blank s e c o n d s


    Time in which the current will decay tofraction numerator 1 over denominator e end fraction of its steady value is t equals tau equals fraction numerator L over denominator R end fraction equals fraction numerator 50 over denominator 10 end fraction equals 5 blank s e c o n d s

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