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What is the Vm(w) = ? or a parallel RLC circuit?

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Final answer:

The voltage across a parallel resistor in an RLC circuit is equal to the source voltage. The power output can be calculated using the RMS voltage, RMS current, and the phase angle. Current and impedance calculations depend on the R, L, C values and the source frequency.

Step-by-step explanation:

The question is asking about the voltage across a parallel resistor in a parallel RLC (resistor, inductor, capacitor) circuit. In such a circuit, the voltage across each parallel component is the same and is equal to the voltage of the source. Therefore, the voltage across the parallel resistor combination will be equal to the voltage provided by the AC source. The power output of the source at half the resonant frequency can be calculated by using the formula P = Vrms Irms cos φ, where φ is the phase angle (which is 0° at resonance or for a purely resistive circuit). The current amplitude in an RLC circuit can be determined by the equation I0 = V0/(R² + (ωL - 1/ωC)²), where ω is the angular frequency of the AC source. Hence, for specific values of R, L, C, and AC source frequency, impedance and current in the circuit can be calculated.

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