The time period (T) is the reciprocal of frequency (f). Therefore, T = 1/f = 1/50 Hz = 0.02 s.

Inductive reactance (X_L) is directly proportional to frequency (f). Therefore, if frequency increases, X_L decreases.

Inductive reactance (X_L) is given by X_L = 2πfL. If the inductance (L) is doubled, X_L will also double.

The peak voltage (V_peak) is calculated as V_peak = V_rms × √2 = 100 V × √2 ≈ 141.42 V.

Inductive reactance (X_L) is given by X_L = V/I. Here, X_L = 100 V / 2 A = 50 Ω.

Inductive reactance (X_L) can be calculated using the formula V = I × X_L. Rearranging gives X_L = V/I = 100 V / 5 A = 20 Ω.

At resonance in a series RLC circuit, the impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.

At resonance in a series RLC circuit, the impedance is minimum, and the circuit behaves like a purely resistive circuit.

At resonance in a series RLC circuit, the impedance is minimum, and thus the current is maximum.

At resonance in a series RLC circuit, the total impedance is minimum and is equal to the resistance (R) of the circuit.

The power factor (PF) is given by cos(θ). If θ = 30 degrees, PF = cos(30°) = √3/2 ≈ 0.866.

The power factor (cosφ) is 0.5, which corresponds to an angle φ of 60 degrees.

In a purely inductive circuit, the current lags the voltage by 90 degrees (π/2 radians). Therefore, I(t) = I0 sin(ωt - π/2).

In a purely inductive circuit, the current lags the voltage by 90 degrees (or π/2 radians). Therefore, I(t) = I_0 sin(ωt - π/2).

The current through a capacitor is given by I(t) = C dV/dt. For V(t) = V₀ sin(ωt), the current can be derived from this expression.

The average power (P) consumed in an AC circuit is given by P = VI cos(φ), where φ is the phase angle between voltage and current.

The average power (P) in an AC circuit is given by P = V_rms²/R, where R is the resistance.

Reactance is measured in Ohms, just like resistance.

The impedance (Z) of an RLC circuit is given by Z = √(R² + (X_L - X_C)²), where X_L is the inductive reactance and X_C is the capacitive reactance.

The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.

At resonance in a parallel RLC circuit, the total current is maximum because the impedance is at its minimum.

Average power (P) is given by P = V_rms × I_rms × power factor. Thus, P = 100 V × 5 A × 0.5 = 250 W.

Average power (P) is given by P = V × I × PF. Here, P = 230 V × 5 A × 0.8 = 920 W.

When the power factor is 1, the average power consumed is maximum and is given by P = V_rms × I_rms.

Increasing resistance in a series RLC circuit at resonance will decrease the current, as the impedance increases.

In a capacitive AC circuit, increasing the capacitance decreases the capacitive reactance (X_C), which increases the current (I = V/X_C).

Increasing the capacitance decreases the capacitive reactance (X_C = 1/(2πfC)), which can lead to an increase in current.

The average power (P) in an AC circuit is given by P = VI cos(φ), where φ is the phase difference between voltage and current.

The impedance (Z) in an RLC series circuit is calculated using the formula Z = √(R^2 + X^2), where X is the total reactance.

The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.