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A coil has resistance 30 ohm and inducti...

A coil has resistance `30 ohm` and inductive reactance `20 ohm` at `50 Hz` frequency. If an ac source of 200 volts. `100 Hz`, is connected across the coil, the current in the coil will be

A

`(20)/(sqrt(13))A`

B

2.0A

C

4.0A

D

8.0A

Text Solution

Verified by Experts

The correct Answer is:
C
`X_(L) = 2 pi f L rArr 20 = 2 pi xx 50 L rArr L = (20)/( 2 pi xx 50)`
`X_(L) = 2 pi xx f. L = 2 pi xx 100 xx (20)/( 2 pi xx 50) = 40 Omega `
`:. I = (V)/(Z) = (200)/( sqrt(R^(2) + X_(L)^(2)))= (200)/( sqrt(30^(2) + (40)^(2))) = 4 A `
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