What is the formula for three-phase reactive power?

What is the formula for three-phase reactive power?

• A. Q=IV
• B. Q=√3(IVpf)
• C. Q=√3(IVsinφ)
• D. Q=IVcosφ

Answer: (C)

The correct formula for three-phase reactive power is represented as Q = √3 * I * V * sin(φ), where Q is the reactive power, I is the current, V is the line voltage, and φ is the phase angle between the current and voltage waveforms. In three-phase systems, the concept of reactive power is essential because it accounts for the power that oscillates between the source and the load, particularly in inductive or capacitive circuits. The term 'sin(φ)' is vital in this formula because it captures the phase difference between the current and voltage, which is responsible for reactive power rather than real power. Reactive power does not perform any real work but is necessary for maintaining the voltage levels that allow for the efficient operation of the electrical system. The factor of √3 arises from the calculation of power in three-phase systems, which differ from single-phase systems. It is used to convert the phase voltage to line voltage when considering three-phase connections. Thus, the inclusion of √3 ensures accurate representation of the total reactive power in the system. In contrast, other options reflect different power calculations. For instance, the formula involving cos(φ) pertains to real power, not reactive power. Therefore, the formulation that incorporates sin

The correct formula for three-phase reactive power is represented as Q = √3 * I * V * sin(φ), where Q is the reactive power, I is the current, V is the line voltage, and φ is the phase angle between the current and voltage waveforms.

In three-phase systems, the concept of reactive power is essential because it accounts for the power that oscillates between the source and the load, particularly in inductive or capacitive circuits. The term 'sin(φ)' is vital in this formula because it captures the phase difference between the current and voltage, which is responsible for reactive power rather than real power. Reactive power does not perform any real work but is necessary for maintaining the voltage levels that allow for the efficient operation of the electrical system.

The factor of √3 arises from the calculation of power in three-phase systems, which differ from single-phase systems. It is used to convert the phase voltage to line voltage when considering three-phase connections. Thus, the inclusion of √3 ensures accurate representation of the total reactive power in the system.

In contrast, other options reflect different power calculations. For instance, the formula involving cos(φ) pertains to real power, not reactive power. Therefore, the formulation that incorporates sin