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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

2.5s

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `1/2LI_(0)^(2)[1-e^(-(tR)/L)]^(2)=1/4xx1/2LI_(0)^(2)therefore[1-e^(-t//5)]^(2)=1/4rArrt=3.5s`
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