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An ideal inductive coil has a resistance...

An ideal inductive coil has a resistance of `100Omega` When an ac signal of frequency `100Hz` is applied to the coil the voltage leads the current by `45^(@)` The inductance of the coil is .

A

` 1 / 10 pi `

B

`1 / 20 pi `

C

`1 / 40 pi `

D

` 1 / 60 pi `

Text Solution

Verified by Experts

The correct Answer is:
B

tan`phi` = `underset(L)(X)/R`
`therefore tan 45^(@)` = Lomega/R`
`adr L = R/omega = 100 / 2pi xx 1000` [since tan `45^(@)` = 1]
`adr L= 1/20pi`
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