Three single phase loads are connected in parallel to a voltage source through a line with impedance Žline = 1 + j2 №, Load Z₁ is a purely resistive load and consumes 800 W. Load Z2 is also a purely resistive load and consumes 120 W and Load Z3 consumes 1760 W at a power factor of 0.7 lagging. The voltage at the load is V₁ = 12020° Volts RMS. Calculate: V Zline Irms Z₁ Vrms Z₂ Z3 + V₂ (a) the complex power S consumed by the three loads combined and draw the power triangle. (b) the impedance of the three loads combined, (c) the total current supplied by the voltage source and the voltage Vs in phasor form. (d) The frequency of the voltage source is w = 377 rad/s, determine the value of the capacitor that must by placed in parallel with the three loads so that the power factor of the parallel combination is pf = 1.
Three single phase loads are connected in parallel to a voltage source through a line with impedance Žline = 1 + j2 №, Load Z₁ is a purely resistive load and consumes 800 W. Load Z2 is also a purely resistive load and consumes 120 W and Load Z3 consumes 1760 W at a power factor of 0.7 lagging. The voltage at the load is V₁ = 12020° Volts RMS. Calculate: V Zline Irms Z₁ Vrms Z₂ Z3 + V₂ (a) the complex power S consumed by the three loads combined and draw the power triangle. (b) the impedance of the three loads combined, (c) the total current supplied by the voltage source and the voltage Vs in phasor form. (d) The frequency of the voltage source is w = 377 rad/s, determine the value of the capacitor that must by placed in parallel with the three loads so that the power factor of the parallel combination is pf = 1.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:Three single phase loads are connected in parallel to a voltage source through a line with
impedance Žline = 1 + j2 №, Load Z₁ is a purely resistive load and consumes 800 W. Load Z2 is
also a purely resistive load and consumes 120 W and Load Z3 consumes 1760 W at a power
factor of 0.7 lagging. The voltage at the load is V₁ = 12020° Volts RMS.
Calculate:
V
Zline
Irms
Z₁
Vrms
Z₂
Z3
+
V₂
(a) the complex power S consumed by the three loads combined and draw the power
triangle.
(b) the impedance of the three loads combined,
(c) the total current supplied by the voltage source and the voltage Vs in phasor form.
(d) The frequency of the voltage source is w = 377 rad/s, determine the value of the
capacitor that must by placed in parallel with the three loads so that the power factor of
the parallel combination is pf = 1.
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