Question

Experiment 8 1. (1+1+1 points) For the series LCR circuit, at the resonance frequency, state whether each 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., $X_L = X_C$. 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: $v_L = V_L cos(omega t + 90^circ)$, $v_C = V_C cos(omega t - 90^circ)$, 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.

          Experiment 8
1. (1+1+1 points) For the series LCR circuit, at the resonance frequency, state
whether each 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., $X_L = X_C$.
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:
$v_L = V_L cos(omega t + 90^circ)$,
$v_C = V_C cos(omega t - 90^circ)$,
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.

Experiment 8
1. (1+1+1 points) For the series LCR circuit, at the resonance frequency, state
whether each 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 (vL) and instantaneous voltage across capacitor C (vC) are given by:
vL = VL cos(omega t + 90^circ),
vC = VC cos(omega t - 90^circ),
with VL = VC, where VL, VC are the magnitudes of the voltages. Prove that vL = -vC.
Show all calculations.

Added by Eugenia M.

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