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Three single-phase two-winding transformers, each rated
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Chapter 3 Solutions
MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
- Consider two coupled dielectric slab waveguides .The two waveguides are identical to one another and have coupling coefficient:C=C12=C21=500 m-1 a)Find the length of the coupled waveguide structure that allows for complete power transfer from waveguide 1 to waveguide 2.b)Now assume that light is launched into both waveguides at the same power P0 and the same phase,but with linear X polarization in waveguide 1 and linear Y polarization in waveguide 2.Write expressions for the power and the polarization (normalized Jones vector)of the light in each waveguide as a function of the distance traveled.Assume that propagation constants and coupling coefficients are the same for both X and Y polarizations.arrow_forwardA chemical process takes place in a reactor vessel continuously, but it has to be monitored for abnormal behaviour. The system has two sensors S1 and S2 that can independently detect an abnormal temperature. They pass an electrical signal to an electrical OR-gate A, which passes a signal on to both the protection units P1 and P2 if either sensor gives a signal. The protection units and the OR-gate get electrical power from electric power unit E1, while sensors get power from electric power unit E2. Build a (qualitative) fault tree for the top event "Protection system not available" using failure of the indicated components.arrow_forwardsolve for the capacitor (Filter) values of the Half-wave Design a half-wave rectifier with a filter for the following conditions: a) The peak input voltage is 10 V. Input frequency is 60 Hz. b)Use virtual diode (VON = 0.7 V). c)The minimum output voltage should be at least 90% of the maximum output voltage. d)The load resistance may vary from 1.5 k ohm to 2.5 k ohm. Instructions: ~ Vomax = 10 - 0.7 = 9.3 V; Vomin = 0.9xVomax; angleV = Vomax- Vomin~ fin =60Hz; fp =60Hz.~ Use the smallest value of load resistance (1.5 k ohm) to calculate the capacitor value.~ Use the above calculated capacitor value (same value) to build 2 circuits (half-waverectifier with a filter), with load resistance of 1.5 kohm and 2.5 kohm, respectively.~ Note: The same capacitor value is applied to the load resistance of 1.5 kohm and 2.5 kohm,respectively.arrow_forward
- The current and voltage across a circuit element are given by the equations I(t) = 20e 100t (mA), V(t) = 105e-1⁰⁰t (V) Determine the total energy E dissipated by the element between t=0 and t=10ms. The instantaneous power dissipated by the element is P(t) = 1(t)V (t). Find the total energy E by integrating P(t) over the time interval from t=0 to t=10ms=0.01sec. To do so, use the function trapez(fn, a, b, h), which implements the trapezoidal rule for numerical integration and where fn is a function handle to a function that needs to be integrated, a and b are the integral limits and h is the step length. Write in Matlab the function that needs to be integrated and call function trapez with appropriate parameters.arrow_forwardFigure Q2(a) shows the characteristic curve of a Zener Analyse the characteristic curve to identify the approximate minimum Zener current IZK(min) and the approximate Zener voltage, VZ at IZK.arrow_forwardDesign a wide flange W column 8 m in height to support an axial dead load of 1000 kN and a live load of 1200kN in the interior of a building. The column base is rigidly fixed to the footing and the top of the column isrigidly framed to very stiff girders. Assume that bracing is provided to prevent side sway in the weak axis/planeof the column (you don’t have to consider slenderness in this direction), but side sway is not prevented aroundits strong axis. Select an economical W shape.arrow_forward
- A TTL gate has the following actual voltage level values: VIH(min) = 2.25 V, VIL(max) = 0.65 V.Assuming it is being driven by a gate with VOH(min) = 2.4 V and VOL(max) = 0.4 V, what are the HIGH- and LOW-level noise margins?arrow_forward1. Determine the frequency of oscillation of a three-stage phase shift ladder network oscillator based on the following combinations of capacitance and resistance: a) C = 10 nF and R 24 kn. b) C = 50 µF and R = 800 N. c) C = 0.1 nF and R = 100 kn. d) C = 470 nF and R 12 kn. e) C = 1 µF and R = 900 0. 2. A certain cascaded amplifier arrangement has the following voltage gains: Av1 = and Av4 = 6. What is the overall voltage gain? Express each gain in decibels (dB) and determine the total voltage gain in dB.. 3.5, Av2 = 27, Av3 = 13arrow_forwardProblem#1: A combinational circuit is defined by the following three Boolean functions. Implement the circuit with a decoder constructed with NAND gates and external NAND gates. F1 (A, B, C) = Em(0, 5, 7) F2(A, В, C) %3D 2m(2, 3, 4) F3 (A, В, С) %3DZM(1, 6, 7) Зx8 Decoder mo m1 B m2 m3 m4 m5 m6 m7arrow_forward
- Example Question 1 A dynamometer-type AC ammeter made of moving coils and fixed coils with a shunt is used to measure current. The ammeter is designed to let 95% of the input curent flow through the shunt resistor. The moving coil's resistance is 10 2, and the shunt resistance is 0.004 2. The Table Q1 below gives the relation between the deflection and the mutual inductance of the ammeter. Table Q1 Deflection 2.44 (radian) (full- scale) 0.26 0.52 1.05 1.57 1.83 2.09 Mutual Inductance -325 -260 -180 180 263 325 373 (µH) If the input current that gives the full-scale deflection is = 6.7A, determine the following: (i) (ii) (iii) the current passing through the moving coil at full-scale deflection, the deflecting torque that gives full-scale deflection, the current passing through the fixed coil at half-scale deflection. (Hint: Plot the Mutual Inductance vs. Deflection graph based on the table above. Then, use the graph to solve parts (ii) and (iii))arrow_forward7- A certain TTL gate has IH =20 µA, IL =0.1 mA, IOH =0.4 mA and IoL = 4 mA. Determine the input and output loading in the HIGH and LOW states in terms of UL. When the 1 UL (LOW state)=1.6 mA and 1 UL (HIGH state)=40 µA.arrow_forwardDerivation of the Dc motor differential equations Under typical operating conditions, the torque generated by a DC motor is directly proportional to the cumrent passing through it T-kai where kis a proportionality constant determined by the characteristics of the specific motor. This relationship fails for large values of i. When the armature ratates, z generates a back electromotive force (back EMF) that opposes the applied valtage. In the circuit diagram, this is represented by a mator symbol. The voltage drop dua to the back EMF, denoted e, is proportional to the rotational velocity af the armature e-kp where k, is a constant of proportionality. Ta derive the relationship between the current i and the motor shaftt angular position 0. yau can apply KirchhofT's voltage law and Nowton's second law in terms of torques acting on the motor shaft. Kirchhoff's voltage law implies that the sum at the vatage drops across the circuit must equal tha applied voltage: iR + (1) where v is the…arrow_forward
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