(a)
Find the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads for the circuit in Figure 11.43 in the textbook.
(a)
Answer to Problem 35E
The average power delivered to
Explanation of Solution
Given data:
Refer to Figure 11.43 in the textbook for the given circuit.
Formula used:
Write the expression for average power delivered to load as follows:
Here,
Write the expression for rms current in the circuit as follows:
Here,
Write the expression for total impedance in the given circuit as follows:
Write the expression for rms voltage across load as follows:
Write the expression for complex power supplied by the source as follows:
Write the expression for power factor of the combined loads as follows:
Calculation:
From Equation (3), substitute
Substitute
Simplify the expression as follows:
Modify the expression in Equation (4) for the voltage across the load
Substitute
Modify the expression in Equation (1) for the average power delivered to the load
Substitute 48.041 V for
Modify the expression in Equation (4) for the voltage across the load
Substitute
Modify the expression in Equation (1) for the average power delivered to the load
Substitute 75.493 V for
Substitute
Find the apparent power supplied by the source from the complex power as follows:
Substitute
If the imaginary part of the complex power (reactive power) is positive value, then the load has lagging power factor. If the imaginary part is negative value, then the load has leading power factor.
As the imaginary part of the given complex power is positive value, the power factor is lagging power factor.
Conclusion:
Thus, the average power delivered to
(b)
Find the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads for the circuit in Figure 11.43 in the textbook.
(b)
Answer to Problem 35E
The average power delivered to
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute 29.5202 V for
Substitute
Substitute 89.7812 V for
Substitute
Find the apparent power supplied by the source from the complex power as follows:
Substitute
As the imaginary part of the given complex power is negative value, the power factor is leading power factor.
Conclusion:
Thus, the average power delivered to
(c)
Find the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads for the circuit in Figure 11.43 in the textbook.
(c)
Answer to Problem 35E
The average power delivered to
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute 69 V for
Substitute
Substitute 51.75 V for
Substitute
Find the apparent power supplied by the source from the complex power as follows:
Substitute
As the imaginary part of the given complex power is positive value, the power factor is lagging power factor.
Conclusion:
Thus, the average power delivered to
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Chapter 11 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- Some parameters are given related to your student ID numbers. These are:V1 = XXX V (first 3 numbers, e.g. 170 V (RMS)) f1 = XXX Hz (assume that your last number is ‘y’, then f1 = (y+1)*10 Hz, e.g. if y=2 then f1=(2+1)*10=30Hz)1) A single-phase load has an active power of P = 2 kW at V1 V @f1Hz and the power factor is cosφ = 0.75. This motor iscompensated to cosφ = 0.85 using a parallel capacitor (the load is modelled as series RL). Determine:a. Reactive power and apparent power before compensation using power factorb. Current before compensationc. R, XL and L values of the loadd. Reactive power and apparent power after compensatione. Find the reactive power difference between compensated and uncompensated status (which will give thecapacitor power) and calculate XC and C using the power difference valuef. Simulate the uncompensated and compensated circuits. Plot voltage and current on components andcalculate the phase shift of the signals from Ving. Plot Vin and Iin comparison for…arrow_forward11.85 A regular household system of a single-phase three- wire circuit allows the operation of both 120-V and 240-V, 60-Hz appliances. The household circuit is modeled as shown in Fig. 11.96. Calculate: (a) the currents I₁, I₂, and I, (b) the total complex power supplied (c) the overall power factor of the circuit 120/0° V 120/0° V In 1₂ 10 22 10 Ω 15 mH wwww wwwm Lamp 30 92 Refrigerator www Kitchen ramparrow_forward35. For the circuit of Fig. 11.43, compute the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads if (a) Z₁ = 14/32° 2 and Z₂ = 22 ; (b) Z₁ = 2/0° 22 and Z₂ = 6 − jQ; (c) Z₁ = 100/70° and Z₂ = 75/90° Q. 119/3° V rms FIGURE 11.43 Z₁ Z₂arrow_forward
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- 11.33 For the following voltage and current phasors, calculate the complex power, apparent power, real power, and reactive power. Specify whether the pf is leading or lagging. (a) V = 220/30° V mms, I = 0.5/60° A rms (b) V=250/-10° V rms, 1= 6.2/-25° Arms (c) V = 120/0° V rms, I = 2.4/-15° Arms (d) V = 160/45° V rms, I = 8.5/90° Armsarrow_forward11.52 In the circuit of Fig. 11.71, device A receives 2 kW at 0.8 pf lagging, device B receives 3 kVA at 0.4 pf leading, while device C is inductive and consumes 1 kW and receives 500 VAR. (a) Determine the power factor of the entire system. (b) Find I given that V₁ = 240/45° V rms. Figure 11.71 For Prob. 11.52. Vs I B A Uarrow_forwardA 3-phase, 50 Hz, 3000 V motor develops 600 H.P. (447·6 kW), the power factor being 0·75 lagging and the efficiency 0·93. A bank of capacitors is connected in delta across the supply terminals and power factor raised to 0·9 lagging. Each of the capacitance units is built of five similar 600-V capacitors. Determine the leading Kvar taken by each three sets.arrow_forward
- (c) A 240 V rms 50 Hz supply serves four resistive loads that is 10 kW each, an inductive load of 75 kVAR and a 45 kVAR capacitive load. Calculate : (i) The current drawn from the supply. (ii) The KVAR rating and capacitance required to improve the power factor to 0.95 lagging. (iii) The current drawn from the supply after power factor correction.arrow_forward1. A resistor of 50 ohms, a 200mH inductor, and a 1.5 x 10-4 F capacitor are connected in parallel to a 120-volt, 60 cps source. Calculate: a) the equivalent impedance; b) the current in each load; c) total current; d) the total real, reactive, and apparent powers; e) power factor.arrow_forwardA 3-phase star-connected alternator is excited to give 6600 V between lines on open circuit. It has a resistance of 0.5 Q and synchronous reactance of 5 2 per phase. Calculate the terminal voltage and regulation at full load current of 130 A when the P.F. is (i) 0.8 lagging, (ii) 0.6 [Rajive Gandhi Technical University, Bhopal, 2000] [(1) 3318 Volts/Ph, + 14.83% (ii) 4265 Volts/Ph, - 10.65%] leading.arrow_forward
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