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A solenoid has an inductance of 10 henry...

A solenoid has an inductance of 10 henry and a resistance of 2 ohm. It is connected to a 10 volt battery. How long will it take for the magnetic energy to reach 1/4 of its maximum value?

A

`2s`

B

`3s`

C

`3.5s`

D

`2.5 s`

Text Solution

Verified by Experts

The correct Answer is:
C
Given ,`1/2 LI_(0)^(2) [1-e^((tR)/(L))]^2 =1/4 xx 1/2 LI_(0)^(2) " " therefore [1-e^(t //5) ]^2 =1/4 implies t~= 3.5 s `
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