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Question

When a choke coil carrying a steady current is short circuited, the current in it decreases to β(<1) times its initial value in a time T. The time constant of the choke coil is

A
Tβ
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B
Tln(1β)
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C
Tln(β)
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D
Tln(β)
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Solution

The correct option is D Tln(1β)
The equation governing the current is
i=ioet/τL
βio=ioet/τL
Take log on both sides
τ=Tln(1/β)

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