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 capac...

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?

Answer Details

In a series R-L-C circuit at resonance, the impedance of the circuit becomes purely resistive, and the total voltage of the circuit is divided between the resistor, inductor, and capacitor. At resonance, the voltage across the inductor is equal to the voltage across the capacitor. In this circuit, the voltage across the resistor is given as 30V, and the voltage across the inductor is given as 40V. Therefore, the total voltage across the circuit is 70V (30V + 40V). Since the voltage across the capacitor is equal to the voltage across the inductor at resonance, the voltage across the capacitor in this circuit is also 40V. Therefore, the answer is: 40V.