Problem 4. A 10 kVA induction motor operating at 80 percent lagging pf and a 5 kVA synchronous motor operating at 70 percent leading pf are connected in parallel across a 220 V 60 Hz power line (Figure 3). Find the total real power Pr, total reactive power QT, total power factor pfr, total apparent power ST, and total current IT. V₁= + = 220V 60 Hz A ||SA| = M =10kVA pf₁ = 0.80 lagging Induction motor Figure 3 IB B ||SB| = 5kVA MB PfB = 0.70 leading Synchronous motor

Introductory Circuit Analysis (13th Edition)
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Problem 4. A 10 kVA induction motor operating at 80 percent lagging pf and a 5 kVA
synchronous motor operating at 70 percent leading pf are connected in parallel across a
220 V 60 Hz power line (Figure 3). Find the total real power Pr, total reactive power QT,
total power factor pfr, total apparent power ST, and total current IT.
V₁
= 220V
60 Hz
+
A
M
SA-10KVA
=
pf₁ = 0.80
lagging
Induction
motor
Figure 3
IB
B
||SB| = 5kVA
MB
PfB = 0.70
leading
Synchronous
motor
Transcribed Image Text:Problem 4. A 10 kVA induction motor operating at 80 percent lagging pf and a 5 kVA synchronous motor operating at 70 percent leading pf are connected in parallel across a 220 V 60 Hz power line (Figure 3). Find the total real power Pr, total reactive power QT, total power factor pfr, total apparent power ST, and total current IT. V₁ = 220V 60 Hz + A M SA-10KVA = pf₁ = 0.80 lagging Induction motor Figure 3 IB B ||SB| = 5kVA MB PfB = 0.70 leading Synchronous motor
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