EGR203 Electric and Electronic Circuits Assignment 5

1. Suppose you have a Wheatstone bridge, shown below, with R₁ = R, the other resistances equal to 10 kΩ and V_s = 5 V. Plot the bridge voltage as a function of R for 5 kΩ ≤ R ≤ 20 kΩ. Use either MATLAB or Excel.

   

2. Find the period and the average and rms value of x(t) where
   x(t) = 2 cos(8πt) + 5

3. Plot 3 cycles of a following signals with amplitude 1. Using these numerical values, find the rms value of each. Use either MATLAB or Excel. In MATLAB, see square(ωt) and sawtooth(ωt,0.5).
   1. sine wave
   2. square wave
   3. triangle wave

4. Determine the truth table (F given A, B, & C) and the logical expression for the following diagram



5. Use Multisim to simulate the above logic circuit. See the example below (from slides3.zip).

   

6. Draw a logic circuit that will accomplish the equation:

   

7. Use truth tables to show that the left and right side of the following equation is the same:

   

8. Many hallway and some room lights are wired so that they may be controlled from either end of the hall or room. This is called a two-way or three-way switch (references vary). Explain why this is equivalent in operation to an XOR gate. Find a figure that shows how to wire such an arrangement.

9. The objective of this problem is to design a truth table which will lead to a combinational logic circuit which will aid in the determination of the acceptability of emergency blood transfusions. It is known that human blood can be catecorized into four types: A, B, AB, and O. Persons with type A can donate to both A and AB types and can receive blood from both A and O types. Persons with type B blood can donate to both B and AB and can receive from both B and O types. Persons with AB blood can donate only to type AB, but can receive from any type. Persons with type O blood can donate to any type, but can receive only from type O. Make appropriate variable assignments, and design a truth table that will approve or disapprove any particular transfusion based on these conditions.

10. Using the mesh current analysis, find the unknown voltages in the circuit below:

    

    R1 (Ω)	R2 (Ω)	R3 (Ω)	R4 (Ω)	R5 (Ω)	R6 (Ω)	Va (volts)	Vb (volts)
    10	20	20	10	30	10	20	10

    Verify your answers by simulating the circuit in Multisim. Show a screen capture annotated with your name.

11. Use Multisim to simulate an Agilent function generator and oscilloscope. Set the function generator for 3 kHz, 1.5V p-p sine wave and the scope to measure frequency, peak-to-peak, and rms. See examples below:

    

    

Maintained by John Loomis, last updated 20 February 2011