Homework 2 DUE JULY 2nd at 5 PM in Cory 240 It s long Start early 1 Consider a new basic circuit element which we ll call a linear diode which only allows current to flow in one direct giving us the I V characteristic shown to below We represent this device with the symbol on the right In class we discussed how any two terminals of a circuit have their own I V characteristic What is the IV characteristic at the indicated terminals of the circuit of two linear diodes shown below assuming the linear diodes have an IV characteristic with slope 5 as above Hint consider the positive and negative V cases separately What basic circuit element has this same IV characteristic 2 Find the I V characteristic of the circuit below You may give your answer as an equation or a graph 3 Consider the circuit below a Suppose want to calculate the current supplied by the 15V source by finding the equivalent resistance that it sees What is that equivalent resistance What is the current b We can think of this whole circuit as a single device What is the I V characteristic of this device if the input terminals are 1 and 2 with 1 as the positive terminal You may give your answer as an equation or a graph for example the I V characteristic of a 5 ohm is I V 5 c Find the Thevenin Equivalent circuit of this circuit with input terminals 1 and 2 How are the I V characteristics of this Thevenin Equivalent circuit related to the I V characteristic from part b d Find the Norton Equivalent of this circuit with input terminals 1 and 2 e Find the Thevenin Equivalent circuit of this circuit with input terminals 3 and 4 this is actually very easy just a tricky question 4 You have two different 2 terminal black box devices meaning you don t know what s inside see http en wikipedia org wiki Black box and want to know what they do For each device you connect a voltage source and then measure the current through the device with an ammeter with only 1 device connected to the voltage source at a time You collect the following data Voltage Applied 4V 2V 1V 0V 1V 2V 4V 10V Current through 1 24 8 mA 12 4 mA 6 2 mA 0 mA 6 2 mA 12 4 mA 24 8 mA 62 mA Current through 2 15 mA 9 mA 6 mA 3 mA 0 mA 3 mA 9 mA 27 mA From the data above draw the circuit inside the box 5 Find the Thevenin Equivalent of the circuit below at the indicated terminals 6 Find the equivalent resistance of the infinitely long network shown below If this network is truly infinite then building another rung on the front will yield a network with the same equivalent resistance or graphically the network above has the same Req as the network below with one more 7 Find the power P delivered to a purely resistive load by a Thevenin circuit with voltage V L TH and resistance RTH as a function of load resistance RL Use simple calculus to deduce the optimal load for power delivery 8 Find I as a function of V assuming the op amp does not saturate and has gain A 5 i 9 Find the close loop voltage gain i e v v for the ideal op amp circuit in the circuit below o in Extra problems not for a grade 1 Does the circuit below have a Thevenin Equivalent 2 For the circuit in problem 4 what happens to the Thevenin Equivalent as the strength of the dependent is increased
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