What is the formula for three-phase apparent power?

What is the formula for three-phase apparent power?

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

Answer: (B)

The formula for three-phase apparent power is given by S = √3 * (IV), where S represents the apparent power in volt-amperes (VA), I is the current in amperes, and V is the voltage in volts. In three-phase systems, the total apparent power is calculated by multiplying the square root of three (√3) with the product of the line-to-line voltage and line current. The factor of √3 arises due to the relationship between the phase and line values in a three-phase system, which allows for the summation of the power contributions from each of the three phases effectively. This formula is essential in electrical engineering as it allows for the assessment of the power-handling capability of three-phase circuits, which are commonly used in industrial applications due to their efficiency and balance. The other formulas presented, while related to power calculations, apply to different contexts or types of power and do not incorporate the specific characteristics of three-phase systems. For instance, S = IV describes single-phase apparent power, while S = IVpf accounts for real power in relation to the power factor, and S = IVsinφ relates to reactive power in AC circuits.

The formula for three-phase apparent power is given by S = √3 * (IV), where S represents the apparent power in volt-amperes (VA), I is the current in amperes, and V is the voltage in volts.

In three-phase systems, the total apparent power is calculated by multiplying the square root of three (√3) with the product of the line-to-line voltage and line current. The factor of √3 arises due to the relationship between the phase and line values in a three-phase system, which allows for the summation of the power contributions from each of the three phases effectively.

This formula is essential in electrical engineering as it allows for the assessment of the power-handling capability of three-phase circuits, which are commonly used in industrial applications due to their efficiency and balance.

The other formulas presented, while related to power calculations, apply to different contexts or types of power and do not incorporate the specific characteristics of three-phase systems. For instance, S = IV describes single-phase apparent power, while S = IVpf accounts for real power in relation to the power factor, and S = IVsinφ relates to reactive power in AC circuits.