Q1. (i) Convert the following sinusoid into a phasor. v(t) = -10 cos(33t + 15) (ii) Two sinusoidal functions are given as under, find V = 1 × V2 v1(t) = 15sin(4t) and v2(t) = -3sin(4t + 25). %3D
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Q: Question No. 4: For the below circuit, assume that: Vi(t) = 20 cos(wt+30°) V2(t) = 10 sin(wt+60°)…
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Q: Question No. 4: For the below circuit, assume that: V:(t) = 20 sin(wt+30°) V2(t) = 10 cos(wt+30°)…
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Q: v1(t) = 12 cos(377t) v2(t) = 5 cos (377t) R1 3 kN R2 8 kN C1 450 nF b ww ww C2 600 nF L1 5 H v7(t)…
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Q: Suppose that v1(t)=100 cos(ωt) and v2(t)=100 sin(ωt). Use phasors to reduce the sum vs(t) = v1(t) +…
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A: Detailed solution is attached in the form of notes. Please go through it. Thank you.
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Q: Figure Q2(b) shows the time domain circuit with the voltage source, vs(t) is 25 cos 100t V. The…
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Q: Please show all work and calculations in detail. Thank you!
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A: Let, R1=1000 ΩR2=1500 ΩC=16 μFL=13 HVst=40sin3000t V
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- i (t) 40 2 cost A2 i (t) 30 2 cos(t 90) A2. Suppose thatFind i1 + i2。 3. A voltage source V is applied to a 100 μF capacitor.(1)Find the impedance of the capacitor.(2)Find the phasor current and phasor voltage.(3)Draw the phasor diagram.100cos200ut 4. Are the circuit voltages and impedancesgiven in the following diagrams correct?Z 7Ω U=14V ? Z 10Ω U=70V ?(a)34V1V26V8V+_U 6830V40V(b) 5. Are the circuit currents and impedancesgiven in the following diagrams correct?Z 2Ω I=8A ? Z 2Ω I=8A ?(c)4A4 4A4 A2IA1(d)4A4 4A4 A Z1 = (3+j4) Ω, Z2 = (8–j6) Ω, U 2200 V1 2 Find I , I , I .Z1 Z2 U+–I1 I 2 I,Suppose that v1(t)=100 cos(ωt+45°) and v2(t)=150 sin(ωt+60°). Use phasors to reduce the sum vs(t) = v1(t) +v2(t) to a single term of the form Vm cos(ωt+θ). Draw a phasor diagram showing V1, V2 and Vs. State the phase relationships between each pair of these phasors.In the circuit shown below, the AC voltage is V0 cos(ωt). Find: (a) The current I(t) through theresistor and capacitor, assuming no current is diverted into the branches on the right. Clearlyidentify the relative phase shift δ between the applied voltage and the current. (b) The voltage VR(t) across the resistor. Factor your answer out so that it is expressed in terms of the dimensionlessquantity ωRC. Graph the amplitude of VR(t) as a function of ωRC.
- given The sinusoidal current source produces the current 8*cos(20,000t) A. L = 40 uH C = 1 uF R1 = 10 ohms R2 = 5 ohms R3 = 6 ohms a. what is inductor impedance ZL? b. what is capacitor impedance ZC? c. what is admittance Y1 in the branch on the left? d. what is admittance Y2 in the branch in the middle? e. what is admittance Y3 in the branch on the right? f. what is the equivalent admittance to the right of the current source? g. what is the equivalent impedance to the right of the current source? h. what is the source voltage, v? i. what is the phasor current I across the capacitor? Please all subparts in short like it definitely don't reject in shorts please..Answer the following points in detail and rigorously. Instead of resorting to formulas, develop from basic principles (laws of voltages and currents, definition of electrical power, properties of phasors, among others). a) Suppose that between the two terminals of an element there is a voltage v (t) and that a current i (t) enters through the terminal marked with a positive sign. Show that if v (t) and i (t) are sinusoidal and are out of phase by an angle ϕ, then the active power P that is consumed by said element is proportional to cos ϕ. b) How much is P for a pure inductor and how much for a pure capacitor? Does this make physical sense? c) When specifying the power factor seen between two terminals, why is it necessary to indicate whether it is lagging or leading? d) Show that the complex power consumed by two elements in parallel is the sum of the individual complex powers. Then repeat the procedure but for two elements in series. e) What meaning would you give to the P consumed…Answer the following points in detail and rigorously. Instead of resorting to formulas, develop from basic principles (laws of voltages and currents, definition of electrical power, properties of phasors, among others). a) Suppose that between the two terminals of an element there is a voltage v (t) and that a current i (t) enters through the terminal marked with a positive sign. Show that if v (t) and i (t) are sinusoidal and are out of phase by an angle ϕ, then the active power P that is consumed by said element is proportional to cos ϕ b) How much is P for a pure inductor and how much for a pure capacitor? Does this make physical sense? c) When specifying the power factor seen between two terminals, why is it necessary to indicate whether it is lagging or leading?
- Suppose that v1(t)=100 cos(ωt) and v2(t)=100 sin(ωt). Use phasors to reduce the sum vs(t) = v1(t) + v2(t) to a single term of the form Vm cos(ωt+θ). Draw a phasor diagram, showing V1, V2 and Vs .State the phase relationships between each pair of these phasors.Two 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 methodsIf a phasor representation of a current is given by I=70.745A, it is equivalent to a. 100e/45 b. 100+j100 c. 50+j50
- Find the total impedance, voltage drop on the 100-ohm resistor, draw the phasor diagram of the voltage and current at R1, total power (apparent) delivered by the current source, draw the phasor diagram of the voltage and current at the source. Also, is the circuit inductive, capacitive, or neither (resistive)? please give the step-by-step solution NOTE: Polar form for Voltage & Current. Rectangular form for ImpedanceThree 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?Given the phasor V2=5∠50o, the equivalent phasor voltage is given by the expression?