The equivalent voltage (V) can be calculated using V = I * R. Therefore, V = 3A * 2Ω = 6V.

Using Ohm's Law, I = V/R = 20V / 10Ω = 2A.

Using Ohm's Law, I = V / R = 15V / 5Ω = 3A.

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

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.

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

The Thevenin equivalent voltage is the open-circuit voltage across the terminals, which is equal to the battery voltage, 20V.

The Thevenin equivalent voltage is the open-circuit voltage across terminals A and B, which is equal to the source voltage, 12V.

The formula for total capacitance in series is 1/C_total = 1/C1 + 1/C2. Thus, 1/C_total = 1/4 + 1/6 = 5/12, so C_total = 12/5 = 2.4μF.