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Main points of this exam paper are: Equation, Perform Nodal Analysis, Voltage, Equation, Nodal Analysis, Supernode Needed, Circuit
Typology: Exams
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Problem 1: 10 Points Possible
Problem 2: 5 Points Possible
Problem 3: 15 Points Possible
Problem 4: 10 Points Possible
Problem 5: 10 Points Possible
Problem 6: 15 Points Possible
Problem 7: 15 Points Possible
Problem 8: 5 Points Possible
Problem 9: 15 Points Possible
Problem 10: 10 Points Possible TOTAL: 110 Points Possible
Problem 1 : 10 Points Possible
Perform nodal analysis on the circuit below. This means write a KCL equation for each node with unknown voltage. DO NOT SIMPLIFY the circuit. DO NOT SOLVE the KCL equations
Problem 2 : 5 Points Possible
In nodal analysis, when is a supernode needed? Why is a supernode needed?
Problem 4: 10 Points Possible
Suppose I have a black-box circuit (I can’t see exactly what’s inside) but I know it only contains resistors and linear dependent sources. The controlling voltages and currents for the dependent sources are also in the box.
I perform one experiment: When I attach a 5 V battery as shown, I measure a 200 mA
current in the direction shown. The internal resistance of the battery is 4 Ω and the internal resistance of the DMM is 1 Ω.
Can I find the Thevenin equivalent of the black-box circuit with this information? If yes, find the Thevenin equivalent. If no, explain why not.
Problem 5: 10 Points Possible
Find the Thevenin and Norton equivalents (if possible) for the following circuits: (3 Points Possible for each Thevenin, 2 points Possible for each Norton)
Problem 7: 15 Points Possible
Design an operational amplifier circuit that has an output voltage V 0 = 3 V 2 – 5 V1. The input voltage sources V 1 and V 2 cannot be detached from ground, and each have their negative terminals at ground. Assume that your amplifier is operating linearly.
You will lose 5 points if you use more than one differential amplifier. If you are desperate, the instructor will “sell” you a hint for points.
Problem 8: 5 Points Possible
Suppose that we want to “clean up” a logic signal by transforming input voltages over 2.5V (the threshold voltage) to 5 V (logic 1) as output and voltages under 2.5 V to logic 0. Design a differential amplifier circuit that will perform this function. You many use one
ideal differential amplifier; Ri=∞, R 0 = 0 Ω and gain A= ∞. You must specify the rail voltages for this amplifier.
Problem 10: 10 Points Possible
Find the time constant for the RC circuit below. DO NOT INCLUDE || symbol in final answer; write the full mathematical expression.