A resistor, an inductor, and a capacitor are connected in series?

AI Thread Summary
In a series circuit with a resistor, inductor, and capacitor connected to an AC source at resonance frequency, the current is in phase with the voltage. The total voltage across the inductor and capacitor at any instant equals zero, indicating that their voltages cancel each other out. The discussion raises questions about the relationships between peak voltages across the components, particularly whether the peak voltage across the capacitor is greater than that across the inductor, and the equality of voltages across the resistor and inductor. Participants confirm the correctness of the phase relationship and the zero voltage condition between the inductor and capacitor. Overall, the key points focus on resonance behavior and voltage relationships in the circuit.
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Homework Statement



A resistor, inductor, capacitor are connected in series to an AC source. The AC source is operating at the resonance freq. Which are true?
1.The current is in phase with the driving voltage.
2.The peak voltage across the capacitor is greater than the peak voltage across the inductor.
3.The peak voltage across the inductor is greater than the peak voltage across the capacitor.
4.The peak voltage across the resistor is equal to peak voltage across the capacitor.
5.The total voltage across the inductor and the capacitor at any instant is equal to zero.
6.The peak voltage across the resistor is equal to the peak voltage across the inductor.

Homework Equations







The Attempt at a Solution



So the current is in phase with the voltage at resonant frequency.
The total voltage across the inductor and capacitor at any instant is zero.

Would that be all? Or am I missing out on some logic...
 
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accioquote said:

Homework Statement



A resistor, inductor, capacitor are connected in series to an AC source. The AC source is operating at the resonance freq. Which are true?
1.The current is in phase with the driving voltage.
2.The peak voltage across the capacitor is greater than the peak voltage across the inductor.
3.The peak voltage across the inductor is greater than the peak voltage across the capacitor.
4.The peak voltage across the resistor is equal to peak voltage across the capacitor.
5.The total voltage across the inductor and the capacitor at any instant is equal to zero.
6.The peak voltage across the resistor is equal to the peak voltage across the inductor.

Homework Equations



The Attempt at a Solution



So the current is in phase with the voltage at resonant frequency.
The total voltage across the inductor and capacitor at any instant is zero.

Would that be all? Or am I missing out on some logic...
That seems right to me .
 
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