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- The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.Consider a single-phase load with an applied voltage v(t)=150cos(t+10)volts and load current i(t)=5cos(t+50)A. (a) Determine the power triangle. (b) Find the power factor and specify whether it is lagging or leading. (c) Calculate the reactive power supplied by capacitors in parallel with the load that correct the power factor to 0.9 lagging.Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.
- Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a) Develop an expression for the reactive power Q in terms of ,L, and I, from complex power considerations. (b) Let the instantaneous current be i(t)=2Icos(t+). Obtain an expression for the instantaneous power p(t) into L, and then express it in terms of Q. (c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10kW. (2) an induction motor drawing 10kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10hp,85 effIciency and 0.95 power factor leading (1hp=0.746kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.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. =?
- Visible power of Z1 = |S1| = 16 kVA and at 0.8 back power factor; Visible power of Z2 = |S2| = 25 kVA and operates at unit power factor; Loads ZW = 5 + j26ohm/conductor is connected to the source by transmission line; VL = 3.8 kV Find the visible power of source,power factor and rms of source1. 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.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 sigle-phase inductive load feeding from a 4,600 V rms supply, absorbs 600 kW at a laggingpower factor of 0.9. Determine the reactive power drawn by the load as well as R and X(a) if the load consists of R and X in series;(b) if the load consists of R and X in parallel.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%In the given circuit, the amplitude of the input voltage is 180 Volts RMS and its phase is 45 degrees.The power values that the loads receive/give are given below.What is the phase of the current phasor I0?Load 1 = 1.8 kW and capacitive 1.2 kVAR8 kW with load 2 = 0.5 back power factorLoad 3 = 3 kVA with 0.9 forward power factor