For a parallel RLC circuit the resonant frequency is the frequency for which the impedance and the current are maximum. True False
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Choose a true statement about a series LCR circuit. The impedance at resonance is at maximum. The impedance at resonance is purely inductive. The current flowing in the circuit at resonance is at maximum. At resonance, the total reactance and total resistance are equal.
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An RLC series circuit is driven by a sinusoidal voltage source with a frequency f. Which of the following statements are True/False? A. At resonance, the current through the circuit is the smallest. B. The resonant frequency only depends on L and C. C. If frequency f is less than the resonant frequency, then XL < XC. D. At resonance, the impedance of the circuit equals the resistance. E. If frequency f is higher than the resonant frequency, then the current leads voltage.
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Experiment 8 1. (1+1+1 points) For the series LCR circuit, at the resonance frequency, state whether each of the following statements are true or false. No reasoning required. a) At resonance frequency, the magnitude of current in the LCR circuit reaches its maximum. b) At resonance frequency, the magnitude of total impedance Z of the LCR circuit reaches its maximum. c) At resonance frequency, the inductive reactance equals the capacitive reactance, i.e., XL = XC. 2. (2 points) At resonance frequency of the series LCR circuit, instantaneous voltage across inductor L (v_L) and instantaneous voltage across capacitor C (v_C) are given by: v_L = V_L cos(wt + 90%), v_C = V_C cos(wt - 90%), with V_L = V_C, where V_L, V_C are the magnitudes of the voltages. Prove that v_L = -v_C. Show all calculations.
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