Final answer:
The line voltage in the star-connected load is approximately 174.752 V.
Step-by-step explanation:
The resistance of each coil in the star-connected load is given as 30Ω. The inductance of each coil is given as 127.3mH. Since the load is star-connected, the line current is equal to the current through each coil. Therefore, the current through each coil is 5.08 A. To find the line voltage, we can use Ohm's Law. The impedance of each coil can be calculated using the formula Z = sqrt(R^2 + (2πfL)^2), where R is the resistance, f is the frequency, and L is the inductance.
Substituting the values, we get Z = sqrt((30Ω)^2 + (2π(50 Hz)(127.3mH))^2) = 34.4Ω. The line voltage is then calculated using the formula V = IZ, where I is the line current and Z is the impedance. Substituting the values, we get V = (5.08 A)(34.4Ω) = 174.752 V. Therefore, the line voltage is approximately 174.752 V.