What is the formula for Real Power (P) in a single phase AC circuit?

What is the formula for Real Power (P) in a single phase AC circuit?

• A. Preal = Vt * It * cos(θ)
• B. Preal = Vt * It * sin(θ)
• C. Preal = Vt + It
• D. Preal = Vt / It

Answer: (A)

The formula for Real Power (P) in a single-phase AC circuit is given by the expression involving voltage, current, and the power factor, which is represented by the cosine of the phase angle (θ) between the current and voltage. In this scenario, Real Power, often referred to as active power, is calculated using the product of the root mean square (RMS) voltage (Vt) and the RMS current (It), multiplied by the cosine of the phase angle (cos(θ)). This cosine factor accounts for the effect of phase difference, which arises due to the presence of reactive power in the circuit. The active power signifies the actual power consumed by the circuit for performing useful work. This means that the correct answer reflects the fundamental concept in AC circuits where Real Power is effective and quantifiable, unlike the other formulations presented. Other options do not adhere to the established relationship between voltage, current, and power in AC systems, specifically lacking the corrective factor for phase difference that is essential for calculating Real Power accurately.

The formula for Real Power (P) in a single-phase AC circuit is given by the expression involving voltage, current, and the power factor, which is represented by the cosine of the phase angle (θ) between the current and voltage.

In this scenario, Real Power, often referred to as active power, is calculated using the product of the root mean square (RMS) voltage (Vt) and the RMS current (It), multiplied by the cosine of the phase angle (cos(θ)). This cosine factor accounts for the effect of phase difference, which arises due to the presence of reactive power in the circuit. The active power signifies the actual power consumed by the circuit for performing useful work.

This means that the correct answer reflects the fundamental concept in AC circuits where Real Power is effective and quantifiable, unlike the other formulations presented. Other options do not adhere to the established relationship between voltage, current, and power in AC systems, specifically lacking the corrective factor for phase difference that is essential for calculating Real Power accurately.