Physics for Engineers: Magnetostatics Lecture Notes

picture_as_pdf ECU 402: Engineering Economics Second Semester Examination Engineering economics paper for the electrical and electronic engineering degree. Discusses benefit cost ratio, marginal rate of substitution, net present value, average cost and returns to scale with diagrams, then works a policy case in which raising the price of a pack of cigarettes from two hundred to six hundred shillings moves the quantity of marijuana demanded from two thousand to eight hundred kilograms a day, to the cross price elasticity of demand and why the policy proves effective. Establishes the relationship between marginal cost and average cost and its significance, and two depreciation methods each with an advantage and a limitation. Continues with the effect of an import duty on cars on the equilibrium price and quantity of petrol, three policies a developing country may use on a balance of payments problem, and the floating against the managed exchange rate regime with a recommendation. Computes the marginal utility of two goods from a utility function at a given income and prices, defines supply with two factors that shift its curve left, and analyses a rent ceiling on urban housing. Selects between two projects across boom, normal and recession states from their probability distributions, finds equilibrium price and quantity from demand and supply functions, lists four monetary tools the central authority uses to control inflation, separates a monopoly from an oligopoly with examples, gives two determinants of elasticity of demand, works straight-line depreciation on equipment bought for a million shillings over an eight-year life with a twenty thousand salvage value, and traces the consequence for the oil and motor vehicle market when exporters raise the price of fuel. PDF KES 40.00 picture_as_pdf EEE 402: Complex Analysis for Electrical Engineers First Semester Examination Complex analysis paper for the electrical and electronic engineering degree, sat on Wednesday the thirteenth of March from eight until ten. Question one is compulsory at thirty marks: the definitions of a conformal mapping and of an analytic function, the Laurent series expansion of a reciprocal cubic about a point with the residue read off it, the image of a circle under the reciprocal mapping, a contour integral round a given centre evaluated with the integral formula, a line integral along a parabola between two points, the Z-transform of a power sequence, and the real part that makes a given imaginary part analytic with the function expressed in terms of z. The optional questions test the continuity of a function defined piecewise at a point, the principal value of the logarithm of one minus i, the expansion of the cosine of a complex argument, the singular points of a rational function, the necessary condition for a function to be analytic in a domain proved from the Cauchy-Riemann equations, residues at singular points used to evaluate an integral round a circle, an integral evaluated with Cauchy's theorem, the value of an expression in two given complex numbers, all the values of a complex number raised to an imaginary power with its principal value, and an integral evaluated with the Cauchy integral formula. PDF KES 40.00 picture_as_pdf ECU 202: Engineering Mathematics VII - Differential Equations for Engineers Examination Exam on initial value problems and their intervals of validity, forming differential equations from Newton's laws for a falling body with air resistance, and solutions about singular points. PDF KES 40.00 picture_as_pdf EEE 102: C Programming Exercises with Expected Output Ten C exercises with sample runs: arithmetic and averages of three numbers, reading floating point input, conditionals, while and for loops that sum odd numbers and compute factorials, arrays, and the C++ basics of syntax, comments, data types and variable types. PDF KES 40.00 picture_as_pdf EEE 400: Communication System I Continuous Assessment Test 1-1 Continuous assessment test in which every question carries equal marks. Opens on three ways of expressing a band pass signal with its carrier and the components used in each, then the detection of a double sideband suppressed carrier signal, the reason for modulating an analogue signal and the limitations of a communication system. Derives the mathematical expression for an amplitude modulated signal, the basic methods of generating a frequency modulated signal and the band pass signal itself. Closes on the three basic amplitude modulation systems with their applications, digital to analogue modulation with three examples, and the mapping function of an amplitude modulated signal used to evaluate peak envelope power from a five hundred volt carrier and a modulation amplitude of zero point eight volts. PDF KES 40.00