A phasor is a complex number that represents the magnitude and phase of a sinusoidal function in AC analysis.

Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality.

The reactance (Xc) of a capacitor decreases with increasing frequency, calculated as Xc = 1 / (2πfC), where f is the frequency and C is the capacitance.

The formula for equivalent capacitance in series is 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/6 + 1/3 = 1/2, so C_eq = 2μF.

Z = R1 + R2 = 4Ω + 3Ω = 7Ω.

Z = R + jX = 3Ω + j4Ω; |Z| = √(3^2 + 4^2) = 5Ω.

The impedance of a resistor in series with an inductor is given by Z = R + jωL, where ω = 2πf.

Norton current I_N = V / R = 12V / 4Ω = 3 A.

In series, the total resistance is the sum of the individual resistances: R_total = R1 + R2 = 5 ohms + 10 ohms = 15 ohms.

The equivalent resistance for resistors in parallel is given by 1/R_eq = 1/R1 + 1/R2, which results in R_eq = 2.4 ohms.

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 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.

In series, the equivalent resistance is simply the sum of the resistances: 4Ω + 6Ω = 10Ω.

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.

Thevenin's theorem states that any linear circuit can be replaced by an equivalent circuit consisting of a single voltage source (the open-circuit voltage) and a series resistance.

The power (P) in a DC circuit can be calculated using the formula P = V * I, where V is voltage and I is current.

The power in an AC circuit is calculated using P = V * I * cos(θ), where θ is the phase angle between the voltage and current.

In an AC circuit, the real power (P) can be calculated using the formula P = V * I * cos(φ), where φ is the phase angle between the voltage and current.

Power (P) in an electrical circuit is calculated using the formula P = V * I, where V is voltage and I is current.

In a resistive AC circuit, the total power (P) can be calculated using the formula P = V * I * cos(φ), where φ is the phase angle between the voltage and current.

The total power in a three-phase AC system is calculated using the formula P = √3 * V * I * cos(φ), where φ is the phase angle.

In a series AC circuit, the total impedance (Z) is the sum of the resistance (R) and the reactance (X), expressed as Z = R + jX, where j is the imaginary unit.

In a series RLC circuit, the total impedance (Z) is given by Z = R + j(X_L - X_C), where X_L is the inductive reactance and X_C is the capacitive reactance.

Z = √(R² + XL²) = √(4² + 3²) = √(16 + 9) = √25 = 5Ω.

The impedance (Z) of a capacitor is given by Z = 1 / (2 * π * f * C). Thus, Z = 1 / (2 * π * 60 * 10e-6) ≈ 265.2 ohms.

The impedance of a capacitor is given by Z = 1 / (jωC). For 60Hz and 10μF, Z = 1 / (j * 2π * 60 * 10e-6) ≈ 2652Ω.

The impedance of a capacitor in an AC circuit is given by Z_C = 1 / (jωC), where ω = 2πf is the angular frequency.

Impedance Z = √(R^2 + X_L^2) = √(10^2 + 3^2) = √(100 + 9) = √109 ≈ 13Ω.

Impedance Z = √(R^2 + (XL)^2), where XL = 2πfL. Assuming L = 5Ω, Z = √(10^2 + (2π*60*5)^2) = 12.25Ω.