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Q.

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

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a

2.0 A

b

4.0 A

c

8.0 A

d

2013A

answer is B.

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Detailed Solution

At 50 Hz, R = 30 Ω, XL = ωL = 20 ΩAt 100 Hz, R = 30 Ω, X'L = ω' L = 40 ΩImpedance Z = R2+X'L2=302+402=50 ΩCurrent I = VZ=20050=4 A
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A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be :