Capacitive reactance (X_C) is given by X_C = 1/(2πfC). If the frequency (f) increases, X_C decreases.

Capacitive reactance (X_C) is given by X_C = 1 / (2πfC). Rearranging gives f = 1 / (2πX_CC). Substituting X_C = 50 ohms and C = 10 x 10^-6 F gives f = 318.31 Hz, approximately 1 kHz.

The time period (T) is the reciprocal of frequency (f). T = 1/f = 1/60 Hz = 0.0167 s.

Capacitive reactance X_C = 1/(ωC) decreases as frequency increases.

Inductive reactance X_L = 2πfL = 2π(50)(2) = 628 Ω.

The average current over one complete cycle is I_avg = I_peak/√2 = 5/√2 = 2.5 A.

The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 200 V / √2 = 141.42 V.

The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 220 V / √2 = 110 V.

In a parallel RLC circuit, increasing frequency generally increases the total current due to lower reactance.

At resonance in a series RLC circuit, the inductive reactance (X_L) equals the capacitive reactance (X_C), hence X_L = X_C.

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance because the quality factor (Q) is inversely proportional to resistance.

In a series RLC circuit, increasing the resistance decreases the bandwidth because the quality factor (Q) is inversely proportional to resistance.

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance peak.

At resonance, the current is maximum in a series RLC circuit.

Beyond the resonant frequency, the circuit becomes more inductive, causing the current to decrease.

The condition for resonance in a series RLC circuit is ωL = 1/ωC.

If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.

If the current lags the voltage, it indicates an inductive circuit, where the current phase is behind the voltage phase.

If the current lags the voltage, it indicates the presence of an inductive load, as inductors cause the current to lag behind the voltage.

If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.

Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, X_L also doubles.

The reactance of an inductor is given by X_L = 2πfL. If frequency is doubled, reactance halves.

The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.

A power factor of 1 indicates a purely resistive load.

For a resistor, the current is in phase with the voltage. Therefore, I(t) = V(t)/R = (V_0/R) sin(ωt).

Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).

The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.

Resonance in an RLC series circuit occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C), i.e., X_L = X_C.

Average power (P_avg) is given by P_avg = P_max × power factor. Therefore, P_avg = 100 W × 0.8 = 80 W.

Average power (P) is given by P = V_rms * I_rms * PF. Therefore, P = 100 V * 5 A * 0.8 = 400 W.