An inductive coil has a resistance of 100 ohms. When an ac signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 450. What is the inductance of the coil?

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2 mH

3.3 mH

16 mH

5mH

answer is C.

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Detailed Solution

here ϕ =450 and ω=2000π and R =100 ohms tanϕ= LωR Therefore L= Rω=1002000×3.14H =16 mH