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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 `1000Hz` is applied to the coil the voltage leads the current by `45^(@)` The inductance of the coil is .

A

2 mH

B

3.3 mH

C

16 mH

D

`sqrt(5) mH`

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, `(X_L) = R`
or` Lxx 2 xx 3.14 xx1000 =100 `
`or L=(100)/(2xx3.14 xx1000)H`
`=15.9 xx10^(-3)H=15.9mH ~~16 mH`.
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