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Q.

In a L-C-R circuit, the value of I is (0.4 / π) henry and the value of R is 30 Ω. If in the circuit, an alternating e.m.f. of 200 V at 50 cycles per second is connected, the impedance of the circuit and current will be

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a

11.4 Ω, 17.5 A

b

30.7 Ω, 6.5 A

c

40.4  Ω, 5 A

d

50 Ω, 4 A

answer is D.

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Detailed Solution

Z=R2+(ωL)21/2=(30)2+(2π50×04/π)21/2=(900+1600)1/2=50ΩI=20050=4A

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