11.7 Find the impedance, complex power, apparent power, average power, reactive power, and power factor of the load shown in Figure P11.7 when the magnitude of the voltage across the load is | Vrms | = 250 V and the radian frequency is w = 260 rad/s Figure P11.7 www R2 R₁ • 20 Ω Vims 60 Ω L 115 mH 9μF
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- 1. Solve for the equivalent impedance and admittance seen at the source. Solve for is(t). 2. A load Z draws 12 kVA at a power factor of 0.856 lagging from a 120-Vrms sinusoidal source. Calculate: (a) the average and reactive powers delivered to the load, and (b) the peak current.A Y-connected balanced three-phase source is feeding a balanced three-phase load. The voltage and current of the source coil are: Calculate the following: The rms phase voltage. The rms line-to-line voltage. The rms current in the source. The rms current in the transmission line. The frequency of the supply. The power factor at the source side, state leading or lagging. The three-phase real power delivered to the load. The three-phase reactive power delivered to the load. If the load is connected in delta configuration, calculate the load impedance.Under balanced operating conditions, consider the 3-phase complex power delivered by the 3-phase source to the 3-phase load. Match the following expressions, those on the left to those on the right. 0) Real power, Py (ii) Reactive power, Qu (ii) Total apparent power Sy (iv) Complex power, Sy (a) (V3 VLL. IL)VA (b) (V3 Vu sng) var (e) (V3 VLL. IL cos ø) W (d) Py +Qy Note that VLL is the rms line-to-line voltage, IL is the ms line current, and o is the power-factor angle.
- A load impedance, Zo = 10 + j 3 ohm, is connected to a source with line resistance equal to 3 ohm, as shown in the figure. Determine the average powers delivered to the load and absorbed by the line. The average powers delivered to the load and absorbed by the line are ________ and ____________ , respectively.1. A motor load consists of a resistance of 6 Ohms in series with an inductance of 12 mH. Assume 120Vac, 60 Hz supply. a. What is the complex impedance of the load? b. What is the ac current through this load? c. What is theta, the angle between voltage and current through this load? d. What is the power factor? e. What capacitance should be added in parallel with this load to correct the power factor to 1? f. What is the current from the supply when the power factor is corrected?In the case of reactive power compensation in a low voltage distribution network and increasing the power factor to cosQ2 = 0.92 as a result of compensation while cosQ1 = 0.75, which of the following expresses the change in apparent power transmitted from the line a) increase by 22.66% b) decrease by 22.66% c) increase by 18.47% d) increase by 15.00% e) decrease by 18.47%
- The 9 Ω resistor in the circuit is replaced with a variable impedance Zo. Assume Zo is adjusted for maximum average power transfer to Zo. 1. a) What is the maximum average power that can be delivered toZo?2. b) What is the average power developed by the ideal voltage sourcewhen maximum average power is delivered to Zo?3. c) Choose single components from Appendix H to form animpedance that dissipates average power closest to the value in part(a). Assume the source frequency is 60 Hz.Two balanced loads are connected to a 240-kV rms 50-Hz line. Load 1 draws 30 kW at a power factor of 0.6 lagging, while load 2 draws 45 kVAr at a power factor of 0.8 lagging. Assuming the RYB sequence, determine: (a) the complex, real, and reactive powers absorbed by the combined load, (b) the line currents, and (c) the kVAr rating of the three capacitors ∆-connected in parallel with the load that will raise the power factor to 0.9 lagging and the capacitance of each capacitor. Verify the results by creating a MATLAB Simulink model and program. Obtain the plots for the currents and voltagesAn impedance ZL = (11.5 + j10) ohms is connected in parallel with an impedance ZC = (8 – j20) ohms. Calculate: a) the conductance, susceptance, and admittance of each branch b) the total conductance, susceptance, and admittance c) the total current in polar form if the impressed emf is 120 volts. d) the total real, reactive, and apparent powers e) the overall power factor.
- The circuit with 3 parallel loads is described as follows. The load draws an average power of 1.8 kW (absorbing) and is behindlagging power factor 0.8. The load 2 draws 20 kVA and the leading power factor is 0.6. If the load is 3;3 Z j is an impedance of '2.5 5.0'. If the source frequency is 60 Hz, derive the steady-state equation for () V t s.Understand ac power concepts, their relationships to one another, and how to calculate them in a circuitA load consisting of a 1.35 kΩ resistor in parallel with a 405 mH inductor is connected across the terminals of a sinusoidal voltage source vg, where vg = 90 cos 2500t V. Find 1. a) the average power delivered to the load,2. b) the reactive power for the load,3. c) the apparent power for the load, and4. d) the power factor of the load.Between the terminals a and b in the figure, there is a load formed by connecting the resistor R0 and inductance L0 in series. The amplitude of the voltage Vs (t) is √2 150 volt phase angle Qs = 0 degree period T = 200π microseconds. Since R = 300ohm and C = 1 microfarad A) If the load phase angle QL = 30 degrees, find the values of R0 and L0 that enable the load to draw the maximum average power from the circuit. =? B) Calculate the average power on the load. =?