What is the current flowing in the feeder conductor if all loads are operating in a 3-pole breaker scenario with a 30 kVA load?

What is the current flowing in the feeder conductor if all loads are operating in a 3-pole breaker scenario with a 30 kVA load?

• A. 100.5 amps
• B. 134.7 amps
• C. 200 amps
• D. 46 amps

Answer: (B)

To determine the current flowing in the feeder conductor for a 30 kVA load in a three-phase system, one can use the formula for calculating the current in a three-phase circuit: \[ I = \frac{P}{\sqrt{3} \times V \times \text{Power Factor}} \] In this scenario, since the power factor is not specified, we often assume a power factor of 1 for simplicity in calculations unless otherwise noted. Given: - \( P = 30 \, kVA = 30,000 \, VA \) - For a typical line-to-line voltage of 480 V in industrial settings. Substituting into the formula, we have: \[ I = \frac{30,000}{\sqrt{3} \times 480} \] Calculating \( \sqrt{3} \) gives approximately 1.732, thus: \[ I \approx \frac{30,000}{1.732 \times 480} \approx \frac{30,000}{829.44} \approx 36.2 \, A \] This value indicates the current per phase for a balanced load. However, since you specified that all loads are operating, the calculation must

To determine the current flowing in the feeder conductor for a 30 kVA load in a three-phase system, one can use the formula for calculating the current in a three-phase circuit:

[ I = \frac{P}{\sqrt{3} \times V \times \text{Power Factor}} ]

In this scenario, since the power factor is not specified, we often assume a power factor of 1 for simplicity in calculations unless otherwise noted.

Given:

• ( P = 30 , kVA = 30,000 , VA )

• For a typical line-to-line voltage of 480 V in industrial settings.

Substituting into the formula, we have:

[ I = \frac{30,000}{\sqrt{3} \times 480} ]

Calculating ( \sqrt{3} ) gives approximately 1.732, thus:

[ I \approx \frac{30,000}{1.732 \times 480} \approx \frac{30,000}{829.44} \approx 36.2 , A ]

This value indicates the current per phase for a balanced load. However, since you specified that all loads are operating, the calculation must