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A coil of inductanece 5H is joined to a ...

A coil of inductanece `5H` is joined to a cell of emf `6V` through a resistance `10 Omega` at time t=0. The emf across the coil at time `t=ln sqrt(2)` s is:

A

`3 V`

B

`1.5 V`

C

`0.75 V`

D

`4.5 V`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(L)=Ee^(-t//tau)=Ee^(-Rt//L)=6e^(-2t)=6e^(-2xxlnsqrt(2))= 6/e^(ln(sqrt(2))^(2))=6/e^(ln^(2))=6/2=3` volt
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