Resonance duplicate (clarified wording): For a series RLC circuit at its resonant frequency (where XL = XC), the total current from a fixed-voltage source reaches a maximum. Is this statement accurate?

Introduction / Context:This item reaffirms the behavior of a series RLC at resonance, emphasizing the equality of reactances and the resulting purely resistive impedance that dictates the current peak for a given source voltage.

Given Data / Assumptions:

• Series RLC network, sinusoidal steady state.
• Source RMS voltage held constant.
• Losses modeled by a series resistance R.

Concept / Approach:At resonance, |Z| = R (minimum), so I = V/|Z| is largest. Although VL and VC can be large and cancel phasorially, they do not increase |Z| at resonance; instead, they produce internal voltage magnification characterized by Q, while the source sees a small resistive |Z|.

Step-by-Step Solution:

Verification / Alternative check:Measure current while sweeping frequency; the plot yields a bell-shaped resonance curve with peak at f0 and −3 dB bandwidth linked to Q.

Why Other Options Are Wrong:

Common Pitfalls:Confusing internal reactive voltages with source current; overlooking that the source only “sees” R at resonance.

Final Answer:Accurate