Single Phase AC Circuit
a) Calculate the current IL1, IL2, IL3 and IS in phasor form. (11 marks)
b) Calculate the total real power. (5 marks)
c) Calculate the total reactive power. (5 marks)
d) Calculate the apparent power delivered from the power source. (2 marks)
e) Calculate the overall power factor. (3 marks)
f) A capacitor is connected in parallel with the power source so as to correct the power
factor to 0.95 lagging. Calculate the capacitance of the capacitor. (7 marks)
g) Calculate the root mean square value of new supply current IS after power factor
correction. (4 marks)
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Problem #2 You have a 1000 W electric motor connected to a 200 Vms, 60 Hz...
Problem #2 You have a 1000 W electric motor connected to a 200 Vms, 60 Hz source, and the resulting power factor is 0.8 lagging. (Hint: Based on the units, is power rating of the motor real power or apparent power?) a. What is the voltage in terms of a phasor? b. By how many degrees does the current lag the voltage? c. What is the RMS current drawn by the motor? d. What is the current in terms of...
Q3. from a 240 V, 50 Hz supply as shown in the Figure 3. 24020 Vrms...
Q3. from a 240 V, 50 Hz supply as shown in the Figure 3. 24020 Vrms Inductive load with 0.6 lagging Load current 50 A Ohle Capacitor to be connected for power factor improvement Figure 3: a) Assuming that the capacitor shown in the figure is disconnected, calculate the load real (PL), reactive(Q1), and apparent power(SL) (5 marks) b) Draw the load power triangle and indicate real (P.) reactive (Q.), apparent (SL) power, and power factor angle (@.) (5 marks)...
Figure 2.6 depicts this circuit as a voltage source applied to a resistor and inductor in...
Figure 2.6 depicts this circuit as a voltage source applied to a
resistor and inductor in parallel (disregard the capacitor for part
A), which is to be an equivalent to the load. Why is a
resistor and inductor in parallel used for the load versus just
using a resistor?
Find the following (show calculations):
Real power absorbed by the load.
Apparent power of the load.
Reactive power of the load. Don’t use the tangent
function. Instead, find the reactive power using the
apparent...
Problem 3 Two parallel 3-phase loads are supplied from a 3-phase source with line-line voltage of...
Problem 3 Two parallel 3-phase loads are supplied from a 3-phase source with line-line voltage of 415.6922 V rms. The data of their power consumption are as follows. Load 1: 15 kVA at power factor of 0.75 lagging Load 2: 9 kW at power factor 0.82 lagging 1) 2) 3) 4) 5) Determine the complex power consumed by Load 1 Find the complex power consumed by Load 2 Calculate the total complex power consumed by the two loads. Determine the...
Two electrical loads are connected in parallel to a 380 V, 50 Hz, three phase supply....
Two electrical loads are connected in parallel to a 380 V, 50 Hz, three phase supply. The first load consists of three identical impedance each 7 Ω resistance and 5Ω inductive resistance, connected in star. The second load consists of three identical impedances, each 12 Ω resistance and 8 Ω capacitive reactance connected in delta. Sketch the arrangement described above Calculate Zph1 and Zph2[Zph1= 8.6Ω 35.54°; Zph2= 14.42 Ω -33.69°] Determine Iph1 and Iph2[Iph1= 25.51A -35.54°; Iph2= 26.35A +33.69°] IL1...
Please help me to answer this question. TQ A coil having a resistance of 20Ω in...
Please help me to answer this question. TQ A coil having a resistance of 20Ω in series with an inductance of 0.0382H, is connected in parallel with a circuit consisting of a 150μF capacitor in series with a 10 Ω resistor. The arrangement is connected to a 240V, 50 Hz supply. Determine: The current in each branch. The total supply current. Draw the phasor diagram Calculate the apparent power, real power and reactive power of the circuit. Calculate the power...
1. (10 points total) A source supplies power to the following three loads connected in parallel:...
1. (10 points total) A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10 kW, (2) an induction motor drawing 10 kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp, 85% efficiency and 0.95 power factor leading (1 hp 0.746 kW). (a) Determine the real, reactive, and apparent power delivered by the source. (8 points)
P3- A source supplies power to the following three load connected in parallel: (1) a light...
P3- A source supplies power to the following three load connected in parallel: (1) a light load drawing 20 kW, (2) an induction motor drawing 10 KVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp, 85% efficiency and 0.95 power factor leading (1 hp = 0.746 kW), Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
P3- A source supplies power to the following three load connected in parallel: (1) a light...
P3- A source supplies power to the following three load connected in parallel: (1) a light load drawing 20 kW. (2) an induction motor drawing 10 kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp, 85% efficiency and 0.95 power factor leading (1 hp = 0.746 kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
Fig. 1. Single-phase ac circuit 52 j10Ω 100sin3771+9) Load 5 +j30Ω For the single-phase ac circuit...
Fig. 1. Single-phase ac circuit 52 j10Ω 100sin3771+9) Load 5 +j30Ω For the single-phase ac circuit shown in Fig. 1, calculate the following: (a) (5 pts) Supply voltage phasor. (b) (5 pts) Line current phasor. (c) (5 pts) Load terminal voltage phasor. (d) (15 pts) Phasor diagram showing supply voltage, line current, and load terminal voltage. (Use the calculated phase angles.) (e) (5 pts) Instantaneous power consumed by the load. (f) (5 pts) Active power(i.e., real power) consumed by the...
Problem #2 You have a 1000 W electric motor connected to a 200 Vms, 60 Hz source, and the resulting power factor is 0.8 lagging. (Hint: Based on the units, is power rating of the motor real power or apparent power?) a. What is the voltage in terms of a phasor? b. By how many degrees does the current lag the voltage? c. What is the RMS current drawn by the motor? d. What is the current in terms of...
Q3. from a 240 V, 50 Hz supply as shown in the Figure 3. 24020 Vrms Inductive load with 0.6 lagging Load current 50 A Ohle Capacitor to be connected for power factor improvement Figure 3: a) Assuming that the capacitor shown in the figure is disconnected, calculate the load real (PL), reactive(Q1), and apparent power(SL) (5 marks) b) Draw the load power triangle and indicate real (P.) reactive (Q.), apparent (SL) power, and power factor angle (@.) (5 marks)...
Figure 2.6 depicts this circuit as a voltage source applied to a
resistor and inductor in parallel (disregard the capacitor for part
A), which is to be an equivalent to the load. Why is a
resistor and inductor in parallel used for the load versus just
using a resistor?
Find the following (show calculations):
Real power absorbed by the load.
Apparent power of the load.
Reactive power of the load. Don’t use the tangent
function. Instead, find the reactive power using the
apparent...
Problem 3 Two parallel 3-phase loads are supplied from a 3-phase source with line-line voltage of 415.6922 V rms. The data of their power consumption are as follows. Load 1: 15 kVA at power factor of 0.75 lagging Load 2: 9 kW at power factor 0.82 lagging 1) 2) 3) 4) 5) Determine the complex power consumed by Load 1 Find the complex power consumed by Load 2 Calculate the total complex power consumed by the two loads. Determine the...
1. (10 points total) A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10 kW, (2) an induction motor drawing 10 kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp, 85% efficiency and 0.95 power factor leading (1 hp 0.746 kW). (a) Determine the real, reactive, and apparent power delivered by the source. (8 points)
P3- A source supplies power to the following three load connected in parallel: (1) a light load drawing 20 kW, (2) an induction motor drawing 10 KVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp, 85% efficiency and 0.95 power factor leading (1 hp = 0.746 kW), Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
P3- A source supplies power to the following three load connected in parallel: (1) a light load drawing 20 kW. (2) an induction motor drawing 10 kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10 hp, 85% efficiency and 0.95 power factor leading (1 hp = 0.746 kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
Fig. 1. Single-phase ac circuit 52 j10Ω 100sin3771+9) Load 5 +j30Ω For the single-phase ac circuit shown in Fig. 1, calculate the following: (a) (5 pts) Supply voltage phasor. (b) (5 pts) Line current phasor. (c) (5 pts) Load terminal voltage phasor. (d) (15 pts) Phasor diagram showing supply voltage, line current, and load terminal voltage. (Use the calculated phase angles.) (e) (5 pts) Instantaneous power consumed by the load. (f) (5 pts) Active power(i.e., real power) consumed by the...
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