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

Power (P) in an AC circuit is calculated as P = V * I. Therefore, P = 120V * 10A = 1200W.

Total resistance R = 4Ω + 6Ω = 10Ω. Using Ohm's Law, I = V / R = 12V / 10Ω = 1.2 A.

Using voltage division, V8Ω = Vtotal * (R8Ω / (R4Ω + R8Ω)) = 24V * (8Ω / (4Ω + 8Ω)) = 24V * (8/12) = 16V.

Total resistance R = 3Ω + 6Ω = 9Ω; I = V / R = 9V / 9Ω = 1A.

Using voltage division, V = V_total * (R / (R1 + R2)) = 9V * (6Ω / (3Ω + 6Ω)) = 6V.

According to Kirchhoff's Current Law (KCL), the total current entering a junction is equal to the total current leaving the junction, which means the total current is the sum of the branch currents.

In a series circuit, if one resistor fails open, the entire circuit is interrupted, and the current becomes zero.

Using Ohm's Law, I = V / R = 12V / 4Ω = 3A.

Using Ohm's Law, the total resistance is 2Ω + 4Ω = 6Ω. The current I = V / R = 12V / 6Ω = 2A.

Total resistance R = 2 + 3 + 5 = 10Ω. Using Ohm's Law, I = V / R = 12V / 10Ω = 1.2A.

The resonant frequency (f0) is given by f0 = 1 / (2π√(LC)). Here, L = 0.1H and C = 100μF, so f0 = 1 / (2π√(0.1 * 0.0001)) = 159.15Hz.

Using Ohm's Law for AC, V = I * Z = 2A * 5Ω = 10V.

The RMS voltage (V_rms) for a sinusoidal waveform is V_peak / √2, so V_rms = 100√2 / √2 = 100 V.

The peak voltage (V_peak) is the coefficient of the sine function, which is 10V.

Impedance in an AC circuit represents the total opposition to current flow, combining resistance and reactance.

Impedance (Z) is the total opposition that a circuit offers to the flow of alternating current, combining both resistance and reactance.

Impedance is the total opposition that a circuit offers to the flow of alternating current, which includes both resistance and reactance.

Impedance (Z) in a series circuit is calculated using Z = √(R^2 + X_L^2). Here, Z = √(4^2 + 3^2) = √(16 + 9) = √25 = 5Ω.

Impedance Z = √(R^2 + X_L^2) = √(5^2 + 3^2) = √(25 + 9) = √34 ≈ 8Ω.

In a purely resistive circuit, the voltage and current are in phase, resulting in a phase difference of 0 degrees.

In a purely resistive load, the voltage and current are in phase, meaning the phase difference is 0 degrees.

The power factor in an AC circuit is defined as the ratio of real power (P) to apparent power (S), indicating how effectively the current is being converted into useful work.

According to KCL, Iin = Iout; 5A + 3A + 2A = Iout; Iout = 10A.

According to KCL, the sum of currents entering a node equals the sum of currents leaving. Therefore, Iout = 2A + 3A + 1A = 6A.

According to KCL, total current entering = total current leaving. 5A + 3A + 2A = 10A leaving.

Kirchhoff's Current Law (KCL) states that the total current entering a junction must equal the total current leaving that junction.

KVL states that the sum of the electrical potential differences (voltages) around any closed network is zero.

KVL states that the sum of the electrical potential differences (voltages) around any closed network is zero.

Kirchhoff's Voltage Law (KVL) states that the sum of the electrical potential differences (voltages) around any closed network is zero.