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A coil of inductance 8.4 mH and resistan...

A coil of inductance 8.4 mH and resistance `6 (Omega)` is connected to a 12 V battery. The current in the coil is 1.0 A at approximately the time

A

`500 s`

B

`25 s`

C

`35 ms`

D

`1 ms`

Text Solution

Verified by Experts

The correct Answer is:
D

We have
`I = I_(0)(I - e^(-t//tau))` ltbr gt But `I_(0) = (V)/(R )` and `tau = (L)/(R )`
`:. I = (V)/(R ) (1 -e^(-Rt//L)) = (12)/(6)[1- e^(6t//8.4xx 10^(-3))]`
`= 1` (given)
`:. T = 0.97 xx 10^(-3) s = 1 ms`
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