Consider the circuit diagram where Vs = 2300 Vrms Z₂ Z₁ Z₂ Find: 1. The apparent power delivered by the Source S 2. The phasor input current Is Given that: S1= 20+j8 VA. S2= 20+j18 VA. S3= 5+j6 VA; S4= 3+j4 VA; __N N
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- If the values of real power and reactive power is specified for a bus, then it is called as PQ bus. Select one: True FalseDerive 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.Use DFT method to compute the circular convolution of x(n)={4,4} and h(n)={2, 6}.
- Compute the 8 – point DFT of x(n) = { 1,2,3,0,3,2,1,3}, using the following methods;(a) DIT – FFT method (b) DIF – FFT method (c) Phasor plot of twiddle factor to compute the DFTLet a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.1. What are the Advantages and Dis-advantages of using Mesh Analysis for solving Circuit Problems? Please make an example? 2. What are the Advantages and Dis-advantages of using Nodal Analysis for solving Circuit Problems? Please make an example?
- A circuit branch is found to have an equivalent impedance of Z=120−j45Ω. It is given that this impedance is a series combination of a 120Ω resistor and another passive component. If the circuit has a sinusoidal voltage source whose frequency is 120 Hz. What is the value of the component in series with the 120Ω resistor? (Note: Express the value assuming a metric scaling of μ(10-6). Provide your answer in decimal form, up to 3 decimal places.)Node Voltages Method (Nodeanalysis) to obtain step-by-step circuit equationand write in matrix format. R1=1/6 R2=1/2The device is represented in the frequency domain bya Norton equivalent. When a resistor having an impedance of 5 kΩ isconnected across the device, the value of V0 is (5–j15) V. When acapacitor having an impedance of −j3 kΩ is connected across the device,the value of I0 is (4.5–j6) mA. Find the Norton current IN and theNorton impedance ZN
- For the circuit shown below, the initial conditions are zero, Vdc is a voltage source continuous and switch S is closed at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the input current of the circuit in the frequency domain, I(s). employ the properties of the initial and final value and calculate the values of i(0) and i(∞).c)Find the expression for i(t). Check if the values of i(0) and i(∞) agree with those calculated in the previous item.d)Obtain voltages v1(t) and v2(t).For Routh Stability Criterion, Answer the following questions: 1. If the sign of the coefficient above the zero is the same as that below it? I. There is a pair of imaginary roots II. There is one sign change. III. There are roots of equal magnitude lying radially opposite in the S-Plane. IV. There is a root or roots that are imaginary or that have positive real parts. 2. If the sign of the coefficient above the zero is opposite of that below it? I. There is a pair of imaginary roots. II. There is one sign change. III. There is one sign change. IV. There is a root or roots that are imaginary or that have positive real parts.a) You have been employed as an electrical engineer by a power transmission company to design a short transmission line to supply power to a light-industrial load consumer with power system specification as follows, a 3-ph, 60Hz overhead short transmission line with a line-to-line voltage of 23KV at the load end, line impedance of 2.48 ±j6.57Ω/phase, the industry has a cumulative consumption of 9MW with a power factor of 0.85 of lagging as a result of several induction motor on its production lines.As part of the regulations for connections to the grid, you are to provide justifications and values to the Energy Commission of Ghana.(i) What would be value of the voltage between the live conductor and the neutral, between live and live voltages at the industrial premises of the factory?(ii) What load angle would expect the factory to be operating at?