Problem 1: Given v(1)=70.71sin (@1+45°) and i(t)=28.28 co a) Maximum voltage and current b) RMS values c) Phasor representation in polar form
Q: Consider a voltage source v(t) = 220 cos (100tt + 30°) %3D Define a. The amplitude of v(t) b. The…
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Q: An instantaneous voltage is given by: v(t) = 48mV sin(wt + 1°). %3D The corresponding phasor voltage…
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Q: Given the sinusoidal voltage v(t) = 600 cos (400Ottt - 60° ) V, find: %3D a) The maximum voltage…
A: given voltage
Q: 1. Sketch the following instantaneous equations a. v = 25 sin (377t + 30°) V b. i = 1 sin(628.3t -…
A: In this question, We need to sketch the all following signals equations. All are Sinusoidal…
Q: 1. Given the sinusoid 5 sin(4 mt- frequency. 60), calculate its amplitude, phase, angular frequency,…
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Q: Consider a voltage source v(t) = 220 cos (100nt + 30°) Define a. The amplitude of v(t) b. The…
A: Given, Voltage source, vt=220 cos 100πt+30°
Q: Q4: For the network in Fig.below and the applied signal: a. Determine the sinusoidal expressions for…
A: Given : In the question they have mentioned an electrical circuit having voltage source and…
Q: 1. [Relationship between Sinusoids and Phasors] (a) What is the phase angle of x(t)= 2 sin(@t+45°)…
A: In this question, we will find phase difference between given signals and sketch them....
Q: Sketch the following instantaneous equations v = 25 sin (377t + 30°) v = 1 sin (628.3t = 150 cos…
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Q: (d) Calculate the following for the AC signal V(t) - voltage at time t (seconds) given by the…
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Q: An emf is represented by the phasor (342 +j380) volts. Extract the cube root of this quantity,…
A: The solution is given below
Q: Now write the time domain function, assuming 60 Hz operation for the following rms phasors; repeat…
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Q: The following circuit is powered by a polyharmonic voltage whose expression is: v(t) = 100+141.sin…
A: Given:V(t)=100+141sin(1000t)+70.7sin(2000t) V(t) contains three frequency voltage, response for each…
Q: (b) Determine the following expressions in polar form. (i) v(t) = 40 cos(200t – 60°) V (ii) i(t) =…
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Q: TM voltage passes through one complete cycle in 1 × 1012 second. The r A time-domain sinusoidal…
A: Compare given signal with standard sinusoidal signal to find frequency in radains per signal. Rms…
Q: Consider a sinusoidal current i=Icos(15[rad/s] -t). Its current phasor makes an angle 135⁰ with the…
A: The sinusoidal phasor starts at t=0. It has maximum value at t=0. Then it starts to decrease and…
Q: he zero-state scaled network shown in Figure 134 is driven by the sinusoidal current purce Jg(t)…
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Q: Consider a voltage source v(t) = 220 cos (100nt - 30°) Define a. The amplitude of v(t) b. The…
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Q: Problem 1.3 (Sinusoids and Exponentials) All signals are defined for – ∞ < t < ∞. (a) Sketch the…
A: We know ther Fundamental time period,T =1/f Where f= fundamental frequency in hertz . And in…
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Q: In phasor representation of alternating quantity, one Complete cycle represents 360° rotation of…
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Q: 1. The current source in the circuit shown below is generating a sinusoidal waveform such that iç…
A: By using current division rule we can find current in second branch then by using ohm's law we can…
Q: Consider a voltage source v(t) = 220 cos (100nt - 30°) Define a. The amplitude of v(t) b. The…
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Q: 2.) A sinusoidal voltage source is represented by the vector pointing to 6 + j4 on the complex…
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Q: 1. A 70-Vac source has the following waveform. Determine: a) Vp b) Vpk-pk c) Vrms d) Period e)…
A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…
Q: An industrial coil is modeled as a series combination ... of an inductance L and resistance R, as…
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Q: Given ,=20 sin (ot + 60") and v,=60 cos (ot – 10"), determine the phase angle between the two…
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Q: Example: Convert the following phasors to the time domain if the frequency is 400 Hz. a) V = 10/20°…
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Q: 2. A 70-Vac source has the following waveform. Determine: a. Vpk b. Vpk-pk C. Vrms d. Period e.…
A: According to Bartleby question answer rule I have to solve first three part of a question hence I…
Q: 5. Write peak and rms phasor notation (cosine reference) expressions for the following signals.…
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Q: 1. Sketch the following instantaneous equations ( v = 25 sin (377t + 30°) V b. i = 1 sin (628.3t а.…
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Q: 14.32 In Fig. 14.77, e=120 sin(2r60t+20°). What is the sinusoidal expression for the current? Find…
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Q: The electric field in the phasor form is given by E, = 50 e-jmâx + 50 e-j"ây %3D Express the field…
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Q: Problem 1: Given v(t)=70.71 sin (@t+45°) and i(t)=28.28 cos(mt-15") ; determine the following a)…
A: Given : The supply voltage v(t)=70.71 sin (wt+45°) The supply current i(t)=28.28 cos(wt-15°)…
Q: 5. Write peak and rms phasor notation (cosine reference) expressions for the following signals.…
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Q: b.) Given the following voltage and current: v(t) = 10 cos(377t + 30º) V i(t) = 5 sin(377t – 20º) A…
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Q: If the rms phasor voltage is given as V angle= 60-degree, then how v(t) can be written.
A: The RMS phasor voltage is given as:
Q: Find the phase relations for the following pairs of sinusoids. Sketch the curve e and i and…
A: a) Given data, v=60sin377t+50° Vi=3sin754t-10° A Here, voltage and current both have different…
Q: 1. A 70-Vac source has the following waveform. Determine: a) Vp b) Vpk-pk c) Vrms d) Period e)…
A: Given data is- Vac=70 volttime T=∆t=50 ms Solution (g)- Calculating Phase angle φ So for the…
Q: A sinusoidal voltage v(t) = 150 sin(1000xt + 45°) is depicted in Fig. 1. Evaluate the time ti when…
A: Given, v(t)=150 sin (1000πt+45°) The voltage at time t1 is 0 V as the sinusoid crosses t-axis.…
Q: 390 23. The rms value of an AC voltage is defined by H v²(t)df where I' is the period of the…
A: Integration of sine and Cosine over a period is equal to zero because positive area equals to…
Q: Example .1: Given the sinusoid 30 sin(4 mt-75°), calculate its amplitude, phase angular frequency,…
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Q: With a voltage source of v. = 500 cos(wt + 30°) V, the current ig is found to be ig = 100 sin(@t +…
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Q: For the following sinusoids, TU x(t): = 230 cos (377t + F y(t) = 110 sin(377t +80°) a) Convert the…
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Q: Problem 6.3 Use the concept of the phasor to combine the following sinusoidal functions into a…
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Q: The expressions for the steady-state voltage and current at the terminals of the circuit seen in…
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Q: 3. Determine the sinusoidal steady state current i (t) using phasor methods. i(1) 1 kN 1.5 kN v,(t)…
A: Let, R1=1000 ΩR2=1500 ΩC=16 μFL=13 HVst=40sin3000t V
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- Please answer quickly "To perform phasor addition, its better expressed the phasors in polar form and add all the real compnents and add all the imaginary components separately to get the sum of the phasors." True False "Mathematically, in phase means that the phase angle of two waves are the same and its phase difference is 180." True False The functional transformation of ac electrical parameters from time domain to phasor domain representaion requires to get the RMS value of the electrical parameter and its phase angle to show its polar form representation. True FalseIf y1=20 cos (ωt − 30°) and y2=40 cos (ωt + 60°), express y=y1 + y2 as asingle sinusoidal function.1. Solve by using trigonometric identities.2. Solve by using the phasor concept.Three branches having impedances of 3+j4 Ω, 16−j12 Ω, and−j4 Ω, respectively, are connected in parallel. What are the equivalent(a) admittance, (b) conductance, and (c) susceptance of the parallelconnection in millisiemens? (d) If the parallel branches are excited froma sinusoidal current source where i=8 cosωt A, what is the maximumamplitude of the current in the purely capacitive branch?
- Ex. 1844. Given a sinusoidal voltage source in series with R,L, and C. The sinusoidal voltage source has a frequency of 600 Hz. R=5 Ohms, L=2 milliHenry, C=4 microFarad, V=20sin(wt) volts. Solve for the capacitor steady-state phasor current and voltage. I(jw)=Aexp(jB), vc(jw)=Dexp(jE), IMPORTANT RESTRICTION: 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:9Ex. 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:9What is the product of two complex numbers 4 + 3j and 2+ 2j where j = sqrt (1-) in phasor notation? Write the answer in the form, to make it easy to type, magnitude AT angle in radians.
- 1. 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 msTwo 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 methodsGiven a sinusoidal voltage source in series with R,L, and C. The sinusoidal frequency is 600 Hz. R=2 Ohms, L=5 milliHenry, C=200 microFarad, V=70sin(wt) volts. Determine the watts and VARs for the capacitor, resistor, inductor, and source. Also find power factor. Given R1=9 Ohms, R2=1 Ohms, L= 3 milliHenries, and a sinusoidal voltage source of 5 volts amplitude and 60 Hz freqency all in series. Determine the voltage across R1: magnitude (volts), frequency (Hz), and phase (degrees).
- Determine the time-domain expressions for the line-to-line voltages vAB, vBC, and vCA. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degreesRead A 70-Vac source has the following waveform. Determine:a. Vpkb. Vpk-pkc. Vrmsd. Periode. Frequencyf. Angular Velocityg. Phase Angleh. 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. 125.0876°h. v(t) = 98.9949sin(20πt + 125.0876°)i. -29.0880 Vj. 0.99959°k. 63.643 ms Give the solution for J and K ONLY ans (0.99959 degrees and 63.643 ms respectively)Two sinusoidal voltages of the same frequency have rms values of 8 V and 3 V. What is the smallest rms value that the sum of these voltages could have? The largest? Justify your answers.