Question

A resistor, an inductor, and a capacitor are connected in series to an AC source. The AC source is operating at the resonance frequency. Which of the following statements are true?

Check all that apply.

The current is in phase with the driving voltage.

The total voltage across the inductor and the capacitor at any instant is equal to zero.

The peak voltage across the capacitor is greater than the peak voltage across the inductor.

The peak voltage across the resistor is equal to the peak voltage across the capacitor.

The peak voltage across the inductor is greater than the peak voltage across the capacitor.

The peak voltage across the resistor is equal to the peak voltage across the inductor.

Answer 1

Correct statements are :
The current is in phase with the driving voltage.

The total voltage across the inductor and the capacitor at any instant is equal to zero.

Peak voltage across capacitor and inductor are R XL mint Horrooo at resonance frequency Xc=XL ER 2=5 R² + (x2-x.} Cos P = R12=14 0 Phase with driving voltage so current is in Peak voltage Vo = 10 Xc Voir VE AXL same. Peak voltage across Capacitor = Peak voltage across inductor 7 Peak voltage across resistor. total voltage across inductor and capacity is zero as both have same magnitude and opposite phase. VL Vc t 7 VR