A balanced Y-connected load has an impedance of 12 + j16 Ω per phase. It is supplied from a balanced three-phase source with a line-to-line voltage of 208 V. Find the magnitude of the line current IL.
Three-phase power worksheet with answers
A balanced Δ-connected load has an impedance of 20 + j15 Ω per phase. It is supplied from a balanced three-phase source with a line-to-line voltage of 690 V. Find the magnitude of the line current IL.
A balanced Δ-connected load with an impedance of 7 + j24 Ω per phase is connected to a balanced three-phase supply with a line-to-line voltage of 415 V. Find the total real power P absorbed by the load in kW.
A balanced three-phase load draws a line current of 30 A from a supply with a line-to-line voltage of 415 V. The power factor is 0.85 lagging. Find the total real power P drawn by the load in kW.
A balanced three-phase load takes 250 kW at a power factor of 0.72 lagging from a 400 V (line-to-line), 50 Hz supply. A three-phase capacitor bank in parallel with the load must raise the overall power factor to 0.98 lagging. The real power stays the same. The capacitors are connected in Δ. Find the capacitance Cph of each capacitor in µF.
A balanced three-phase load takes 150 kW at a power factor of 0.75 lagging from a 400 V (line-to-line), 50 Hz supply. A three-phase capacitor bank in parallel with the load must raise the overall power factor to 0.98 lagging. The real power stays the same. Find the total reactive power QC the capacitor bank must supply, in kvar.
Answer key
- 1. IL = 6.004 A
- 2. IL = 47.8 A
- 3. P = 5.787 kW
- 4. P = 18.33 kW
- 5. Cph = 1261 µF
- 6. QC = 101.8 kvar
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