in a series R-L-C circuit at resonance, the voltages across the resistor and the inductor…

in a series R-L-C circuit at resonance, the voltages across the resistor and the inductor are 30V and 40V respectively, what is the voltage across the capacitor?
  • A.
    30V
  • B.
    40V
  • C.
    50V
  • D.
    70V
Correct Answer: Option B
Explanation

At resonance, inductive reactant XL is equal to the capacitive reactance XC
i.e. XL = XC
and XL = VL/IL
and XC = VC/IC
Again since the components are in series, the same current flows in the series arrangment
i.e. IL = IC
at resonance, VL/IL = VC/IC
∴ VL = VC
= 40V

You May Also Like