LRC series circuits: A series circuit consists of a 50-Hz ac source, a 50-Ω resistor, a 0.50-H inductor, and a 60-μF capacitor. The rms current in the circuit is measured to be 3.1 A. What is the voltage amplitude of the source?

Question

Quizplus · Accepted Answer

The impedance Z of the LRC circuit is calculated using Z = √(R² + (XL - XC)²), where XL = 2πfL and XC = 1/(2πfC). For the given values, XL = 157.08 Ω and XC = 53.05 Ω. Thus, Z = √(50² + (157.08 - 53.05)²) = 164.52 Ω. The voltage amplitude V is then V = Irms * Z = 3.1 A * 164.52 Ω = 510 V.

LRC Series Circuits: a Series Circuit Consists of a 50-Hz