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When 100 V DC is applied across a soleno...

When `100 V` DC is applied across a solenoid, a current of `1.0 A` flows in it. When `100 V` AC is applied across the same coil. The current drops to `0.5A`. If the frequency of the ac source is `50 Hz`, the impedance and inductance of the solenoid are

A

`100Omega, 0.93 H`

B

`200Omega,1.0H`

C

`10Omega, 0.86H`

D

`200Omega, 0.55H`

Text Solution

Verified by Experts

The correct Answer is:
D
For `DC R=E/Iimplies R=100/1=100 Omega`
For `AC Z=E/I=200Omega`
`X_(L)=sqrt(Z^(2)-R^(2))=100sqrt(3)`
`100pi.L=100sqrt(3) implies L=sqrt(3)/pi=0.55 H`
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