Questions
For an LCR series circuit with an ac source of angular frequency
a
current 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 if ω=1LC(ωL>1LC) Hence (a) is false. Also, circuit has inductive nature the current will lag behind voltage. Hence (d) is also false.If ω=1LC(ωL=1ωC) the circuit will have résistance nature. Hence (b) is false.Power factor cosϕ=RR2+(ωL−1ωC)=1 If ωL=1ωC hence (c) is true.Talk to our academic expert!
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In the series LCR circuit as shown in figure, the heat developed in 80 seconds and amplitude of wattless current is:
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