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The instantaneous voltage across a circuit element is
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Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
- A series circuit of RLC with following parameters, R=15 ohm, L=20 m H & C=100 micro Farad. VT=169.7 sin (337t-30) Volt. Find the following: Zt, , It, Voltage across each element, Power factor, apparent power, real or average power and reactive power and the total phasor diagram and power phasor diagramarrow_forwardThe following circuit is powered by a polyharmonic voltage whose expression is: v(t) = 100+141.sin (1000t) + 70.7.sin (2000t) V. It is requested: a) The expression of the instantaneous current.b) Plot the amplitude and phase spectra of the voltage and current.c) The values of the apparent, active, reactive and distortion powers, justifying the resultsarrow_forwardfive infinite-impedance volunteers,calibrated to read rms values,are connected as shown below. let R= 200, L=0.400H,C=6.0 Mf, and V=30.0 v. what's the reading of the voltmeter's V1,V2,V3,V4 and V5 if W= 200 rad/sarrow_forward
- The sending-end voltage in the circuit seen is adjusted so that the load voltage is always 13,800 V(rms). The variable capacitor is adjusted until the average power dissipated in the line resistance is minimum. 1. a) If the frequency of the sinusoidal source is 60 Hz, what is thevalue of the capacitance in microfarads?2. b) If the capacitor is removed from the circuit, what percentageincrease in the magnitude of Vs is necessary to maintain 13,800V(rms) at the load?3. c) If the capacitor is removed from the circuit, what is thepercentage increase in line loss?arrow_forwardS.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.arrow_forwardAn alternating voltage given by v = 120 sin (240t + п / 4) V, is applied to a coil withnegligible resistance and inductance of 100 mH. Determine (a) the reactance of thecoil, and (b) the RMS current flowing through the circuit.arrow_forward
- A SERIES RC CIRCUIT TAKES A CURRENT WHOSE EQUATION Is 2 sin (754t+40) AMPERE. WHEN CONNECTED TO A SOURCE OF EMF HAVING THE EQUATION e = 340sin 754 VOLTS. CALCULATE, (A) THE VALUE OF Z, R, AND XC, (B) CAPACITANCE, AND (C) AVERAGE POWER.arrow_forwardA lightning strikes a 30-m unshielded over-head transmission line tower Which has the following parameters Surge impedance of the tower= 100ohms Surge impedance of lightning channel at tower top =500ohms Tower-footing resistance=10ohms Tower height =30 m Cross-arm height=27m The lightning strike current is assumed to be a constant 30 kA for a duration of 20 µs. The raveling wave propagation speed in the tower is 1.2* 108 m/s. i) Determine the voltage reflection coefficients at tower top and tower foot. ii) Ignoring the phase voltage, determine the insulator voltage after 2µs.arrow_forwardA lightning strikes a 30-m unshielded over-head transmission line tower Which has the following parameters Surge impedance of the tower= 100ohms Surge impedance of lightning channel at tower top =500ohms Tower-footing resistance=10ohms Tower height =30 m Cross-arm height=27m The lightning strike current is assumed to be a constant 30 kA for a duration of 20 µs. The raveling wave propagation speed in the tower is 1.2* 108 m/s. i) Determine the voltage reflection coefficients at tower top and tower foot. ii) Determine the time of travel from tower top to tower foot. iii) Determine the time of travel from cross arm to tower foot. iv) Draw the voltage lattice diagram with proper labels of the time. v) Ignoring the phase voltage, determine the insulator voltage after 2µs. b) The insulator voltage approaches a constant value after 2 µs. If the basic impulse insulation level (BlL) of the insulator for phase conductor is 150 kV, evaluate the condition of the…arrow_forward
- A 40 Ω resistor, a 200 μF capacitor and a 269 mH inductor are connected in series across a voltage source represented by: V = 163.34 sin(100t) volts Determine the following: A.) The rms value of current is A. (a) 0.75 (b) 1.5 (c) 2.5 (d) 3.5 B.) The total impedance of the circuit is ohms. a.) 46.19 b.) 54.37 c.) 65.15 d.) 32.65 C.) The real power supplied is watts (a) 144.35 (b) 125 (c) 175.25 (d) 250 D.) The power factor of the circuit is . (a) 0.707 lagging (b) 0.866 leading (c) 0.6 leading (d) 0.5 laggingarrow_forwardIf the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by (a) 1202cos(t+60) (b) 120cos(t+60) (c) 1202sin(t+60)arrow_forwardIn the given circuit, the amplitude of the input voltage is 160 Volts RMS and its phase is 35 degrees.The powers given/received by the elements are given below.Accordingly, which of the following is the amplitude (absolute value, modulus) of the equivalent impedance of three parallel loads. Load 1 = 11 kW and 5 kVAR Load 2 = forward 7 kVA with 0.7 power factor Load 3 = 11 kW back with a power factor of 1.0arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning