Questions

For an LCR series circuit with an ac source of angular frequency $\omega $

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a

circuit will be capacitive if ω>1LC

b

circuit will be inductive if ω=1LC

c

power factor of circuit will be unity if capacitive reactance equals inductive reactance

d

current will be leading voltage if ω>1LC

detailed solution

Correct option is C

The circuit will have inductive nature ifω>1LCωL>1LCHence (1) is false. Also, if circuit has inductive nature, the current will lag behind voltage. Hence (4) is also falseIf ω=1LCωL=1ωC, the circuit will have resistance nature. Hence, (2) is false.Power factor, cosϕ=RR2+ωL-1ωC2=1If ωL=1ωC.Hence, (3) is true.

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