Final answer:
The query involves a three-phase system where the line-to-line voltage at the load terminals is calculated based on given load and line impedances. The calculation involves summing the load and line impedances, followed by determining the line current and multiplying it by the load impedance and phase angle to obtain the line-to-line voltage.
Step-by-step explanation:
The problem is centered on a balanced three-phase electrical system and involves calculating the line-to-line voltage at the load terminals with given impedances for both the load and the line conductors.
Firstly, we need to calculate the total impedance in each phase of the Δ-connection. The load impedance (ZΔ) is given as 30 ∠30° ohms. The line impedance (ZL) is given as (0.8 + j0.6) ohms. The total impedance for each phase would then be the sum of the load impedance and the line impedance.
Secondly, using the phase voltage, we can calculate the line currents based on these total impedances. Lastly, the line-to-line voltage at the load can be determined by multiplying the line current by the load impedance and the appropriate phase angle, considering the Δ-connection.
This calculation is crucial because it determines how the voltage is distributed across an electrical system, which is essential for the design and analysis of power systems.