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In the circuit shown, a 30 V d.c. source...

In the circuit shown, a `30 V` d.c. source gives a current `2.0 A` as recorded in the ammeter A and `30 V` a.c. source of frequency `100 Hz` gives a currentd `1.2 A`. The inductive reactance is

A

10 ohm

B

20 ohm

C

`5 sqrt(34)` ohm

D

40 ohm

Text Solution

Verified by Experts

The correct Answer is:
2
When d.c source, `R = (V)/(I) = (30)/(2) = 15 Omega`
When a.c. source, `Z = (30)/(1.2) = 25 Omega`
`X_(L) = sqrt((25)^(2) - (15)^(2)) = sqrt(625 - 225) = 20 Omega`
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Knowledge Check

  • An inductor of 30 mH is connected to a 220 V, 100 Hz ac source. The inductive reactance is

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