As part of an electronic music synthesizer, you need to build a gizmo to convert
ID: 2078934 • Letter: A
Question
As part of an electronic music synthesizer, you need to build a gizmo to convert a linear voltage to an exponentially related current. You build three prototype circuits, make several measurements of voltage and current in each, and graph the results as shown below. Assume that each circuit is modeled by the equation I_X = A_Xe^(R_M) where I_x is the current in circuit X [milliamperers. mA] A_X is a scaling factor associated with circuit X R_m is a master resistor, and has the same value in all circuits [ohms, Ohm] R_X is a resistor in circuit X whose value is different in each circuit [ohms, Ohm] V_T is the thermal voltage, and has a value of 25.7 volts V_X is the voltage in circuit X [volts. V] What are the units of A_x? If you wish l_x = l mA when V_X = 0, what should the value of A_X be? Using the trend line models, if R_M = 10 k Ohm, what is the value of R_A?Explanation / Answer
a. Unit of Ax will be ampere per volt.
b. The value of Ax should be approximately equal to 1.
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