1. The average input to a manufacturing plant is \( 3,000 \mathrm{kVA} \) at a p.f. of 0.72 lagging a synchronous having an input of \( 1,300 \mathrm{kVA} \) is then installed and delivers a load of \( 600 \mathrm{Hp} \) at an efficiency of 8 Calculate the over-all KW input.
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Two small industrial plants represent balanced three-phase loads. The plants receive their power from a balanced three-phase source with a line voltage of $4.6 \mathrm{kV}$ rms. Plant 1 is rated at $300 \mathrm{kVA}, 0.8$ pf lagging, and plant 2 is rated at $350 \mathrm{kVA}, 0.8 \mathrm{pf}$ lagging. Determine the power line current.
A plant consumes $60 \mathrm{kW}$ at a power factor of 0.75 lagging from a $240-\mathrm{V} \mathrm{rms} 60-\mathrm{Hz}$ line. Determine the value of the capacitor that when placed in parallel with the load will change the load power factor to 0.9 lagging.
A balanced three-phase source supplies power to three loads: Load $1: 24 \mathrm{kW}$ at 0.8 pf lagging Load $2: 10 \mathrm{kVA}$ at 0.7 pf leading Load 3: unknown If the line voltage at the load is $208 \mathrm{V} \mathrm{rms}$, the magnitude of the total complex power is $41.93 \mathrm{kVA}$, and the combined power factor at the load is 0.86 lagging, find the unknown load.
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