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- Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.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.The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load under sinusoidal-steady-state excitation. is (a) Nonzero constant (b) Zero (c) Containing double-frequency components
- a. Find the total impedance ZT in polar form b. Draw the impedance diagram c. Find the current I and voltages VR , VL , and Vc in phasor form d. Draw the phasor diagram of the voltages E, VR, VL and VC, and the current I. e. Verify Kirchhoff’s voltage law around the closed loop. f. Find the average power delivered to the circuit g. Find the power factor of the circuit, and indicate whether it is leading or lagging.a. Find the total admittance and impedance in polar form b. Draw the admittance and impedance diagram c. Find the voltage E and currents IR , IL , and Ic in phasor form d. Draw the phasor diagram of the currents Is, IR, IL and IC, and the voltage E. e. Verify Kirchhoff’s current law at one node f. Find the average power delivered to the circuit g. Find the power factor of the circuit, and indicate whether it is leading or lagging. h. What happened if R= 10 ΩCircuit elements with an inductance of 200 mH, a capacity of 50 μF and a resistance of 10 Ω connected in parallel. if we apply average value of 198 V sinusoidal AC voltage to the system . Find the line current, impedance and phase angle of the circuit. (Take Frequency in 60 Hz)
- a) Find the average power dissipated in the line shown.b) Find the capacitive reactance that when connected in parallelwith the load will make the load look purely resistive.c) What is the equivalent impedance of the load in (b)?d) Find the average power dissipated in the line when the capacitivereactance is connected across the load.ZL impedance for maximum average power transfer in the circuit shown in Figure 2and find the value of the maximum average power transferred to the ZL? (Can you write the steps in detail in sentences?)circuits Three impedances each (10 + j5) Ω are connected in delta on a balance 3-phase source. If the equation of the phase voltage is ?an = 120 sin ??, find the equation of the current through the impedance connected across phase a and b.
- Two impedances are connected in parallel to the supply; the first takes a current of40A at a lagging phase angle of 300, and the second a current of 30A at a leadingphase angle of 450. Draw a phasor diagram to scale to represent the supply voltageand these currents. By calculation, determine the total current taken from the supplyand its phase angle. All currents are expressed in their r.m.s. valuesThree impedances each (10 + j5) Ω are connected in delta on a balance 3-phase source. If the equation of the phase voltage is ?an = 120 sin ??, find the equation of the current through the impedance connected across phase a and b.The load impedance ZL for the circuit shown is adjusted until maximum average power is delivered to ZL.1. a) Find the maximum average power delivered to ZL.2. b) What percentage of the total power developed in the circuit isdelivered to ZL?