Final answer:
To analyze the series RLC circuit, one must calculate the circuit's impedance to determine the current, voltages across each component, power factor, and various power components such as real, reactive, and apparent power.
Step-by-step explanation:
RLC Series Circuit Analysis
To analyze the given series RLC circuit with supply voltage E = 220V and frequency f = 60Hz, we need to calculate the following:
Current (I): It can be determined using Ohm's law where I = E/Z, with Z being the impedance of the circuit.
Voltages (E₋ₙ, E₋ₒ, E₋ₖ, and E): These represent the voltage drops across the resistor (E₋ₙ), inductor (E₋ₒ), capacitor (E₋ₖ), and the source voltage (E).
Power factor (p.f): This is the cosine of the phase angle (φ), which is the difference in phase between the total current and supply voltage.
Power components (Pₜ, Qₗ, Qc, Qₜ, and S): These include the total real power (Pₜ), inductive reactive power (Qₗ), capacitive reactive power (Qc), total reactive power (Qₜ), and apparent power (S).
The impedance (Z) is a combination of resistance (R), inductive reactance (XL), and capacitive reactance (XC), calculated as Z = √(R² + (XL - XC)²). Once Z is known, the rest of the parameters can be derived.