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Q.

In an L-R circuit, the value of L is (0.4π) Henry and the value of R is30 ohm . If in the circuit, an alternating emf of 200 volt at 50 cycles per second is connected, the impedance of the circuit and current will be:

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a

11.4 ohm, 17.5 ampere

b

30.7 ohm, 6.5 ampere

c

40.4 ohm, 5 ampere

d

50 ohm, 4 ampere

answer is D.

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Detailed Solution

Here, XL=ωL=2πfL=2π×50×0.4π=40Ω R=30Ω ∴ Z=R2+XL2=302+402=50Ω Irms=VrmsZ=20050=4A .

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In an L-R circuit, the value of L is (0.4π) Henry and the value of R is30 ohm . If in the circuit, an alternating emf of 200 volt at 50 cycles per second is connected, the impedance of the circuit and current will be: