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- The 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_forwardA voltage is given by the following expression: v(t) = 550*Sin(377*t + 45) Determine: Amplitude, RMS value, Frequency in Hertz, Phase Angle in Radiansarrow_forwardb) Find the rms current flowing in an AC capacitive circuit when a 4μF capacitor is connected across a 880V, 60Hz supply.arrow_forward
- 1) Given the sinusoids v1(t) = 8cos (250t +15°) V and v2(t) = 6cos (250t – 45°) V, determine the time by which v2(t) is advanced or delayed with respect to v1(t).arrow_forward1. A 70-Vac source has the following waveform. Determine: a. Vpkb. Vpk-pkc. Vrmsd. Periode. Frequencyf. Angular Velocityg. Phase Angle h. equation of the waveform (in time domain)i. the instantaneous voltage when t = 120 msj. the angle (1st occurrence) after t = 0 when the voltage is +80 Vk. the time (2nd occurrence) after t = 0 when the voltage is –10 VAnswers:a. 98.9949 Vb. 197.9899 Vc. 70 Vd. 100 mse. 10 Hzf. 20π rad/secg. 54.9124°h. v(t) = 98.9949sin(20πt - 54.9124°)i. 29.0880 Vj. 108.8253°k. 66.8639 msGive the solution for K ONLY Ans: 66.8639 msarrow_forwardTwo alternating voltages are given by v1 = 15sinωt volts and v2 = 25 sin (ωt – π/6) volts. Plot both functions on the same axes and hence determine a sinusoidal expression for the resultant vr = v1 + v2. Check your answer using an analytical method. Your manager has asked you to analyse the variation in in results between the two methodsarrow_forward
- A circuit has an ac voltage source and a resistor and capacitorconnected in series. There is no inductor. The ac voltage source hasvoltage amplitude 900 V and angular frequency v = 20.0 rad/s. Thevoltage amplitude across the capacitor is 500 V. The resistor has resistanceR = 300 Ω. What is the average rate at which the ac source supplies electrical energy to the circuit?arrow_forwardCompute for the Energy and Power of the following signals in terms of per unit use the proper formula whether the signal is continuous or discrete. 1. sin[n] 2. cos(t)arrow_forwardGiven the time-varying voltage: v(t)= 60 · sin( 377 · t + 60°) Express the voltage as its (RMS) phasor equivalent V.arrow_forward
- Find the phase relations for the following pairs of sinusoids. Sketch the curve e and i anddetermine which one LAGS and LEADS.a. v = 60 sin(377 t + 50°) V ; i = 3 sin(754t − 10°)A b. v = 6.4 sin(7.1 πt + 30°) V ; i = 7.3 sin(7.1 πt − 10°)A c. v = 42.3 sin(400 t + 60°) V ; i = −4.1 sin(400t − 50°)Aarrow_forwardEx. 1844. Given a sinusoidal voltage source in series with R,L, and C. The sinusoidal voltage source has a frequency of 500 Hz. R=7 Ohms, L=8 milliHenry, C=6 microFarad, V=20sin(wt) volts. Solve for the capacitor steady-state phasor current and voltage. I(jw)=Aexp(jB), vc(jw)=Dexp(jE), Express radian angles between [-pi/2,pi/2]. Solve for the capacitor steady-state time-domain current and voltage: i(t)=Fsin(wt+G), vc(t)=Hsin(wt+K) Ans: w,A,B,D,E,F,G,H,K all MKS units. ans:9arrow_forwardConsider the sinusoidal voltage v(t)=100cos(1000nt-65°)V. A. What is the period in milliseconds? B. What is the first time after t=0 that v(t)=80V? C. The sinusoidal function is shifted 2/5ms to the left along the time axis. What is the expression for v(t)?arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning