Concept explainers
Consider a long radial line terminated in its characteristic impedance
(a)
(b)
(c)
(d) The complex power gain,
(e) The real power efficiency,
Note: 1 refers to sending end and 2 refers to receiving end.
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Chapter 5 Solutions
MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
- Suppose we have an 80-lb lead-acid battery. 10% of the weight of the battery is active material on the plates, i.e., we have a total of 8 lb of active Pb and PbO, on the plates that can be used to make electric power. Use the Gibbs free energy method to estimate the total stored energy in the battery. Assume that the open circuit voltage for a lead-acid cell is 2.1 V. [The answer should be a little less than 1 kilowatt-hour of energy.]arrow_forwardProblem 1 A beam AB is subjected to several vertical forces as shown. Write a computer program that can be used to determine the magnitude of the resultant of the forces and the distance x C to point C, the point where the line of action of the resultant intersects AB. - X,7 - X2- C A |Barrow_forward4. The outer facing of a room is constructed from 0.75 m thick brick, 25 cm of mortar, 12 cm of limestone (k=0.186 W/mK) and 0.5 m of plaster (0.096 W/mK). Thermal conductivities of mortar and brick are both 0.52 W/mK. Assume that the heat transfer coefficients on the inside (plaster side) and outside (brick side) surfaces of the wall to be 8 and 24 W/(m^2 K), respectively. Calculate the overall coefficient of heat transfer (W/(m^2 K). Show your solutionarrow_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_forwardThe circular rod shown is made of the steel alloy AISI 4140 OQT 900. It has a diameter of 1.00 in and an initial length of 48 in. An axial tensile load of 15 000 lb. is applied during a certain operation. Compute: 1. the equivalent spring constant K, 2. the deformation X of the rod. The Young's modulus of the steel is known to be 30,000,000 psi. F=15 000 lb L= 48 in F=15 000 lbarrow_forward19. For the network of Fig. 6.82 D, find: a. The voltage V. b. The current /2. c. The current I,. d. The power to the 12 kQ resistor. 12 kΩ 18 kN 48 V Is + v - 3 kN 12arrow_forward
- 1.) The distribution of I & Q is zero-mean Gaussian; their phase, amplitude, and power are uniform, Rayleigh, and Exponential distribution. Using the given I & Q data to show these distributions. Requirements: In this project, please use the I & Q data from 1000 gate to demonstrate these PDFS. Data from azimuthal angle between 5° to 30°, range between 20 km to 50 km are suggested used in this analysis.arrow_forwardElectromagnetic Pulse propagating at oblique angle to a dielectric interface Consider a gaussian wave pulse propagating along the z-axis from region 1 with refractive index n1 and onto a dielectric interface y = m z (for all x). To the left of this dielectric interface, the refractive index is n2. Devise an initial value computer algorithm to determine the time evolution of the reflected and transmitted electromagnetic fields for this pulse. e.g., n1 = 1 , n2 = 2 initial profile (t = 0, with z0 < 0) Ex = E0 exp[-a (z-z0)^2] By = n1 * Ex Choose parameters so that the pulse width is at least a fact of 8 less than the z- domain of integration ( -L < z < L). For the slope of the interface, one could choose m = 1.arrow_forward3. You have seen how Kirchhoff's laws were used in your lectures to obtain a 2nd order differential equation where we solved for the current. This time we will use an even simpler concept: principle of conservation of energy to derive the 2nd order differential equation where we will solve for the charge. Take a look at the circuit below. IHE 2F In the circuit above, we have a capacitor with capacitance 2 F, an inductor of inductance 5 H and a resistor of 32 (a) The total energy that is supplied to the resistor is LI? E = 2 Q? 20 where L is the inductance, I is the current, C is the capacitance and Q is the charge. Write down the total energy supplied E in terms of Q and t only. OP Remember that I = dt (b) Now you know that the power dissipation through a resistor is -1R. Use the conservation of energy (energy gain rate = energy loss rate) to derive the differential equation in terms Q and t only. (c) Solve the differential equation for initial charge to be Qo with a initial current of…arrow_forward
- Example (2): Design an Ayrton shunt by indirect method to provide an ammeter with current ranges 1A, 5A, and 10A, if PMMC meter have internal resistance of 5002 and full scale current of 1mA.arrow_forward2. Heat conduction in a square plate Three sides of a rectangular plate (@ = 5 m, b = 4 m) are kept at a temperature of 0 C and one side is kept at a temperature C, as shown in the figure. Determine and plot the ; temperature distribution T(x, y) in the plate. The temperature distribution, T(x, y) in the plate can be determined by solving the two-dimensional heat equation. For the given boundary conditions T(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 1993):arrow_forwardThe displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
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