Question

A three-phase source delivers 4.8kVA to a wye-connected load with a phase voltage of 226 V and a power factor of 0.9 lagging. Calculate the source line current and the source line voltage. Calculate the source line current. The source line current is A.

Answer 1

These are the numerical results for the source line current and voltage in the three-phase system.

`\[ I \approx 15.506 \, \text{A} \]`

`\[ V_{\text{line}} \approx 391.535 \, \text{V} \]`

Step-by-step explanation:

Your calculation for the source line current and voltage is correct. However, it's essential to provide the numerical result for a complete answer. Let's compute the values:

`\[ I = \frac{4.8 \, \text{kVA} * 1000}{√(3) * 226 * 0.9} \, \text{A} \]`

`\[ V_{\text{line}} = 226 * √(3) \, \text{V} \]`

Now, let's calculate these values:

`\[ I \approx (4800)/(√(3) * 203.4) \, \text{A} \]`

`\[ V_{\text{line}} \approx 226 * 1.732 \, \text{V} \]`

Let's calculate the numerical values:

`\[ I \approx (4800)/(√(3) * 203.4) \, \text{A} \]`

`\[ I \approx (4800)/(√(3) * 203.4) \approx 15.506 \, \text{A} \]`

`\[ V_{\text{line}} \approx 226 * 1.732 \, \text{V} \approx 391.535 \, \text{V} \]`

So, the final values are:

`\[ I \approx 15.506 \, \text{A} \]`

`\[ V_{\text{line}} \approx 391.535 \, \text{V} \]`

These are the numerical results for the source line current and voltage in the three-phase system.