Final answer:
The total power P in a three-phase circuit is represented by the formula P = √3 × V × I, assuming a balanced load and a power factor of 1. Therefore, the correct answer is option b. P = √3 × V × I
Step-by-step explanation:
To calculate the total power P of a three-phase circuit when given the line voltage V and the line current I, you use the formula P = √3 × V × I. This formula accounts for the fact that in a three-phase system, the power is distributed over three phases, and the factor of √3 arises from the phase shift between them.
Additionally, it should be noted that this formula assumes a balanced load and a power factor of 1, which is the case for purely resistive loads. For more complex situations involving reactive components, the power factor must be taken into account as well. The total power can be used to analyze the efficiency and capacity of electrical systems in various applications.
The total power P of a three-phase circuit can be represented as P = √3 × V × I.
This equation takes into account the line voltage V and the line current I in a three-phase circuit. Multiplying the line voltage by the line current and multiplying the result by the square root of 3 gives the total power in the circuit.
For example, if the line voltage is 220V and the line current is 10A, the total power can be calculated as P = √3 × 220V × 10A = 380.13W.
Therefore, the correct answer is option b. P = √3 × V × I