EECS314_W08_HW3 - EECS 314 Winter 2008 Homework set...

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EECS 314 Winter 2008 Homework set ___ Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 1 of 2 Scores for the HW set: Problem 1 2 3 4 5 6 7 Total Score Problem 1 The “Golden Rules” applied to a basic Op Amp circuit For the circuit shown on the diagram, do the following: Part 1 (10 points) Write the node voltage equation for V + , first without using the GR and then after applying the GR, in the space below. From the latter equation, calculate the voltage V + in volts and write your answer: V + = ______ V Part 1 2 3 4 Total
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EECS 314 Winter 2008 Homework set ___ Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 2 of 2 Problem 1, continued The ckt diagram is repeated here for your convenience. Part 2 (10 points) Write the node voltage equation for V , first without using the GR and then after applying the GR, in the space below. From the latter equation, calculate the voltage V OUT in volts and write your answer: V OUT = ______ V Part 3 (10 points) From the the node voltages, calculate the currents I 10 , I 50 , and I 91 in mA and write your answers: I 10 = ______ mA I 50 = ______ mA I 91 = ______ mA Part 4 (10 points) From KCL, calculate the Op Amp's output current I OUT in mA and write your answer: I OUT = ______ mA Verify whether KCL is valid at the ground node. Write your conclusion: Yes / No (circle one) Do not be surprised by the possible “violation” of KCL: your calculation is incomplete, because the circuit diagram is incomplete, lacking the power supplies (such as – 12 V and +12 V), which can carry large currents! Show your work.
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EECS 314 Winter 2008 Homework set 3 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 1 of 2 Problem 2 The Big Picture The circuit shown on this diagram is known as an inverting summer, or summing amplifier, a.k.a. adder. This summer is inverting, because the signals are fed into the inverting (-) input terminal of the Op Amp. Its output signal V OUT is a sum of the two input signals with individual gain values: V OUT = K 1 V S1 + K 2 V S2 [1] Note that coefficients K 1 and K 2 can be individually – and independently! – changed if the resistances R 1 and R 2 are varied. This is a great advantage of the inverting summer: in its twin brother – the non-inverting summer, where the signals are fed into the non- inverting (+) input terminal of the Op Amp – changing one of the resistors results in a change of both gain values thus independent adjustment of gains is nearly impossible.
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