Assume that steady-state conditions exist in the circuit shown in Figure P5.29at
Find the Norton equivalent network seen by the inductor. Use it to determine the time constant of the circuit for
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Principles and Applications of Electrical Engineering
- Assuming that a nonzero ac voltage source is applied, what can you say about whether the power and reactive power are positive, negative, or zero for a pure capacitance in series with a pure inductance? Consider cases in which the impedance magnitude of the capacitance is greater than, equal to, or less than the impedance magnitude of the inductance. Repeat Problem P5.74 for the inductance and capacitance in parallel.arrow_forwardConsider the situation shown in Figure P5.85. A 1000-V-rms source delivers power to a load. The load consumes 100 kW with a power factor of 25 percent lagging. a. Find the phasor I, assuming that the capacitor is not connected to the circuit. b. Find the value of the capacitance that must be connected in parallel with the load to achieve a power factor of 100 percent. Usually, power-systems engineers rate capacitances used for power-factor correction in terms of their reactive power rating. What is the rating of this capacitance in kVAR? Assuming that this capacitance is connected, find the new value for the phasor I. c. Suppose that the source is connected to the load by a long distance. What are the potential advantages and disadvantages of connecting the capacitance across the load?arrow_forwardThe inductor L in the circuit shown in Figure P5.36is the coil of a relay. When the current through the coilis equal to or greater than +2 mA, the relay functions.Assume steady-state conditions at t < 0. IfVS = 12 V, L = 10.9 mH, R1 = 3.1 kΩ determine R2 so that the relay functions at t = 2.3 s.arrow_forward
- Consider the phasors shown in Figure P5.22. The frequency of each signal is f=200 Hz. Write a time-domain expression for each voltage in the form Vm cos(ωt+θ). State the phase relationships between pairs of these phasors.arrow_forwarda. Find the Thévenin and Norton equivalent circuits for the circuit shown in Figure P5.89.b. Find the maximum power that this circuit can deliver to a load if the load can have any complex impedance. c. Repeat if the load is purely resistive.arrow_forwardFind the rms value of the voltage waveform shown in Figure P5.17.arrow_forward
- Find the phasors for the current and the voltages for the circuit shown in Figure P5.45. Construct a phasor diagram showing Vs, I, VR, and VC. What is the phase relationship between Vs and Iarrow_forwardSolve for the node voltages shown in Figure P5.53.arrow_forwardFind the phasors for the current and for the voltages of the circuit shown in FigureP5.41. Construct a phasor diagram showing and What is the phase relationshipbetween and I?arrow_forward
- Consider the circuit shown in Figure P5.79. Find the phasor current I. Find the power, reactive power, and apparent power delivered by the source. Find the power factor and state whether it is lagging or leading. Repeat Problem P5.79, replacing the inductance by a 10- μF capacitance.arrow_forwardFind the phasors for the voltage and the currents of the circuit shown in Figure P5.47. Construct a phasor diagram showing Is, V, IR and IL. What is the phase relationship between V and Is ?arrow_forwardDescribe the steady-state similarities and differences of DC and AC circuits with purelyresistive elementsarrow_forward
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