HW3_Soln - Masnari/Escuti/Bricklev ECE 200 Fall 2008...

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Masnari/Escuti/Bricklev ECE 200 - Fall 2008 - Ifomework 3 Basic DC Circuits with Resistors and Diodes l. [9 pts tota[ Answer true or false for the following statements: a. The resistors in Circuit I me all in parallel. b. The resistors in Circuit 2 are ilin series. c. The resistors in Circuit 3 are all shorted. Circuit I Circuit 2 Circuit 3 * All resistors in parallel. * AII resistors in series. * All resistors shorted. [4 pts totall Find the voltage at node A (relative to ground) in the circuit at right. Clearly explain your reasoning. Note that we have 3 loops (:> 3 KVL eqs.), 4 nodes (:> 3 KCL eqs.), and 6 branches. However, we can easily determine V lby simply following the path from ground to node A. % --<a-.?
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3. [12 pts totall The I-V chmacteristic of a circuit element is shown below' a. Is this a linear resistor? Explain why or why not' b. Find the resistance of the element in the following regions: (i) 2<V<6, (i1) -l <l/<2, and (iil) -9<V<-L' This is not a linear resistor since it does not y Ohm's law (V = /R ) overthe entirevoltage range. However, notethat the I-V charact tic is piecewise linear within the individual (i), (ii), and (iii) voltage ranges. (i)For (2<V<6), R =+==olr=2ldl N 2mA (ii) For (-l<V <2),R=+=L= 500 C) 'M6mA (iii) For (-9< V <-r), R=X-=#n=a(i.e.,opencircuit) a.
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4. [12 pts tota! Find the voltage V* andthe current I*. Show all your work Hint: Simplify the circuit asmuch aspossible andredraw the simplified circuit before writing any equations. 1.5 kA 9.1 kO Note that the 3.3 k Cl resistor is shorted out and the 9. I and 2.2 fr O resistors are in parallel with each other so thattheir combined equivalent parallel resistance 9.tx2.2 tsl(-- =::--:-: =1.77 frQ.. Thus we can simplifu the above circuit in two steps: v't 9.1+2.2 vr+ 4 $ T x 7V +r.
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