Question

A balanced ∆-connected load is connected by three wires, each with a 12-Ω resistance, to a Y source with

Vₐ = (480/√3) ∠-30° V rms, Vᵦ = (480/√3) ∠-150° V rms, and V = (480/√3) ∠90° V rms.
Find the line current Iᴀ when Z∆ = 16 ∠-75° Ω

Answer 1

The line current (Iᵅ) in a balanced Δ-connected load with specified voltage and impedance can be calculated using the formula Ia = Va / ZΔ, where Va is the voltage across one branch and ZΔ is the total impedance. Plugging in the given values, we can find the line current to be 30 ∠ 165° A rms.

Step-by-step explanation:

To find the line current Ia in a balanced Δ-connected load, we can use the formula:

Ia = Va / ZΔ

where Va is the voltage across one branch in the Δ load and ZΔ is the total impedance of the Δ load.

In this case, Va = (480/√3) ∠ 90° V rms and ZΔ = 16 ∠ -75° Ω.

Using the formula, we can calculate Ia as follows:

Ia = (480/√3) ∠ 90° V / 16 ∠ -75° Ω

By dividing the magnitudes and subtracting the angles, we can find:

Ia = 30 ∠ 165° A rms.