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in a series R-L-C circuit at resonance the volt... - JAMB Physics 1999 Question

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
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Correct Option: B

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

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