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The time constant of a circuit is 10 sec, when a resistance of 10 Ω is connected in series in a previous circuit then time constant becomes 2 second, then the self inductance of the circuit is :

a
2.5 H
b
5 H
c
15 H
d
25 H

detailed solution

Correct option is D

Time constant of LR circuit = LR = 10    …….(i)When 10 Ω is connected in seriesLR+10=2    ...........(ii)⇒R+10R=5⇒R=2.5 so L=25

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