The three tools described below are part of a university’s machine shop. Each piece of equipment is a balanced three-phase load rated at 220 V(rms). Calculate (a) the magnitude of the line current supplying these three tools and (b) the power factor of the combined load.
• Drill press: 10.2 kVA at 0.87 pf lag.
• Lathe: 4.2 kW at 0.91 pf lag.
• Band saw: line current 36.8 A(rms), 7.25 kVAR.
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