In the LCR circuit shown, the RMS voltages across the resistor, inductor, and capacitor are equal. If the applied voltage is V = 200 sin(100t) volts (where t is in seconds), the RMS value of voltage a

Question

In the LCR circuit shown, the RMS voltages across the resistor, inductor, and capacitor are equal. If the applied voltage is V = 200 sin(100t) volts (where t is in seconds), the RMS value of voltage across the resistor will be:

Accepted Answer

Answer: 100√2 V — At resonance VR = VL = VC. Vrms = V0/2 = 200/2 = 100 V? Actually V0 = 200 ⇒ Vrms = V0/√2 = 100√2 V.

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