Question

In a series LCR circuit, the rms voltage across the resistor and the capacitor are \(30 \, \text{V}\) and \(90 \, \text{V}\) respectively. If the applied voltage is \(50\sqrt{2}\sin\omega t\), then the peak voltage across the inductor is:

• A. 70 V
• B. 50 V
• C. \(70\sqrt{2} \, \text{V}\)
• D. \(50\sqrt{2} \, \text{V}\)

Hint:

In a series LCR circuit, use the Pythagorean theorem to calculate the total or peak voltage when given the rms voltages across the components.