1 of 2 pagesUniversity of RochesterDepartment of Electrical & Computer EngineeringECE111 Examination #1 10-13-06This is a closed-book examination, but you may use a hand-held calculator. Do all work in thebluebook provided, clearly indicating your answers. Partial credit is more likely for neat, well-organized writing. Put your name on your exam booklet. All problems are weighted equally.In your answers, do not overstate or understate precision of numerical values.1) A black box with one terminal pair has the v-i characteristic provided inthe figure below. Find Thevenin and Norton equivalents for this device.Your answers must include both circuit diagrams and the values of allelements in them. Explain your methods fully.i (amps)v (volts)101.00.55vblack boxi+-2) Use nodal analysis to obtain an algebraic expression for the voltage v inthe circuit below. Do not attempt to simplify your expression.vRaVaRbVbIs++2 of 2 pages3) For the resistive circuit below, use the superposition principle to find thecurrent i. Thoroughly explain your method in words and appropriatecircuit diagrams.2 Wi = ?+5 W-10 W10 V 1 A4) For the circuit below, use values and uncertainties provided to calculate(a) the nominal value* of the voltage vout in Volts and (b) its uncertaintyin ±%. For part (b), you must fully explain your method. Note that thespecifications of the uncertainties of resistance are given in ±%, whilethe uncertainty for voltage is in ± volts.Vs = 10 (±1) VRa = 100 W (±30%)Rb = 400 W (±10%)RaRbVsvout = ? ++--*…The nominal value is the value obtained if all component and source valuesare exact with no
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