The RMS current (I_rms) is calculated using I_rms = V_rms / R. Thus, I_rms = 100V / 50Ω = 2A.

Using Ohm's Law, V = I * R = 5 A * 10 ohms = 50 V.

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

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

The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2. Thus, 1/R_eq = 1/3 + 1/6 = 1/2, so R_eq = 2Ω.

In series, the equivalent resistance is R_total = R1 + R2 = 4 ohms + 6 ohms = 10 ohms.

The impedance (Z) is calculated using Z = √(R^2 + (X_L)^2). The inductive reactance X_L = 2πfL, where L = 3Ω. Therefore, Z = √(4^2 + 3^2) = √(16 + 9) = √25 = 5Ω.

The Norton current (I_N) is calculated using I_N = V_th / R_load. Thus, I_N = 10V / 5Ω = 2A.

Power (P) is calculated as P = V * I = 120 V * 3 A = 360 W.

Power (P) is calculated using P = I^2 * R. Therefore, P = (2A)^2 * 10Ω = 4 * 10 = 40W.

The Thevenin voltage is the voltage across the load resistor. Using voltage division, V_load = 12V * (2Ω / (4Ω + 2Ω)) = 12V * (1/3) = 4V.

The Thevenin equivalent voltage is the open-circuit voltage, which is 10 V in this case.

In a series circuit, the total voltage is the sum of the individual voltages, which equals the battery voltage of 12 V.