Hop)" Proof the eyuation AD-BC = 1 ; %3D Is IR %3D Vs UR IR= Is Vs AVR +BIR Isz CUR + DIR.
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- Compute the 8 – point I.D.F.T of x(n) = { 10,-2+ 2j,-2,-2- 2j, 10,-2+ 2j, -2,-2- 2j} using Phasor plot of twiddle factor to compute the DFT please check the numbers before answeringProblem 6: Suppose the voltage source for a series RL-circuit were given as V0sin(ωt) instead of V0cos(ωt). Part (a) Enter an expression for the current amplitude in terms of V0, ω, R, and L. I0 = ______ Part (b) Calculate the current amplitude, in milliamperes, when V0 = 1.9 V, ω = 45 rad/s, R = 29 Ω, and L = 0.84 H. I0 = ______ Part (c) Enter an expression for the tangent of the phase constant in terms of ω, R, and L. tanφ = ______ Part (d) Calculate the phase constant, in radians in the range -π/2 ≤ φ ≤ π/2, for the circuit parameter values given in part (b). φ = ______A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 120 V and ω = 429 radians/second. The values for the remaining circuit components are: R = 61 Ω, C = 426 μF. The value for L is unkown. What is known is that the voltage across the generator leads the current in the circuit by φ = 48 degrees. 1) What is t1, the first time after t = 0 when the magnitude of the voltage across the inductor is maximum? 4) What is VL,max, the magnitude of the maximum voltage across the inductor? 5) What is VL = Vb - Vc, the voltage across the inductor, at time t = 0? Note that VL is a signed number.
- DEGREE: ELECTRICAL ENGINEERING SUBJECT/COURSE: AC CIRCUITS NOTE: Please solve in this way. 1. Please have a good handwriting, some of the answers are not readable. Thank you! 2. GIVEN.(include symbols and units) 3. REQUIRED/FIND/MISSING (with symbol/s) 4. ILLUSTRATION (Required). 5. STEP-by-STEP SOLUTION with Formulas and Symbols. No Shortcut, No skipping, and detailed as possible 6. FINAL ANSWERS must be rounded up to three decimal places PROBLEM: • A delta-connected load whose phase impedances are ZAB=50 Ω, ZBc=-j50 Ω, and ZcA=j50Ω is fed by a balanced wye-connected three phase source with Vp=100 V. Find the phase currents.Derive the full solution to the driven LRC circuit shown below using complex exponentials. Start withKirchhoff’s rule for the loop and assume a complex V (t) = V0eiωt (where by convention V0 is real) andassume that I(t) = I0eiωt where I0 is a general complex number (which can be written quite generallyas I0 = |I0|e−iδ), and where one gets physical answers at the end by taking the real part of thecomplex answers. Find an algebraic complex expression that expresses the sum of the voltages. Solve this expression directly using algebra, no pictures of “phasors” really required. Factor out the solution to obtain|I0|, δ, Z (the complex impedance), and the voltages across each element as a function of time.What are two ways of reducing Z0? (last part of the question)
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- Solve the problem. Show a clear and organized solution. Thanks!!!Note: Show also the vector diagram of the following:- impedance- power triangle- voltage triangleUsing the mesh analysis equation for loop 2 what are the steps for conversion for the division of imaginary numbers with phasors?Power flow (load flow) is an important part of any power system studies. (A) Load flow studies are performed to investigate some features of a power system Discuss any three of these features. (B) Discuss the main differences between the Gauss-Seidel and Newton-Raphson methods of solving the load flow