A long solenoid connected to a 12 V DC source passes a steady current of 2 A . When the solenoid is connected to an A.C. source of 12 V at 50 Hz , the current flowing is 1 A . The inductance of the solenoid is
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Remember that the solenoid mentioned here is not just a solenoid but has the resistance also due to its wire material. Now, in DC, the solenoid doesn't offer any reactance after a few milliseconds. However, in the beginning it offers infinite resistance. So, the current by a DC source into an inductor is
But when an a.c. source is connected to the same inductor, the reactance will also come into picture.
So, 
Here, 
or 
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