Question 2

Question 2. RLC AC circuit analysis (35 Marks) 
Good quality HiFi loudspeakers often incorporate two or more drivers (loudspeakers), each one handling a separate range of audio frequencies. Passive components including Resistors, Inductors and Capacitors are used to "steer" the high or low frequencies in the audio signal to the appropriate driver. 
You have been engaged to characterise (that is, to test and document) by simulation, a circuit design of an RLC (Resistor, Inductor, Capacitor) series circuit, and produce theoretical performance data. 
The circuit comprises of the individual loudspeaker driver (which itself has the fixed characteristics of a 0.015H inductor (L1) in series with a 6 Ohm resistor (X1). Remember: this is still one physical component). This is connected in series with a RLC filter stage, whose component values are given in the table, Table 2, below. Select only the one correct set of figures based on the LAST DIGIT of your student ID. 
The circuit simulation will be conducted using a variable frequency signal generator, operating at an output voltage of 10V RMS. Most of your measurements will be conducted at the fixed frequency (f) given in the table. 
Complete each of the following steps: 
I. Draw the circuit in Multisim, copy into your report and describe how it works (4 Marks) II. Calculate the individual reactances of each component in the circuit, as well as the total impedance of the circuit at the given frequency (f) (5 Marks) III. Calculate the current overall flowing, and the voltage across each component, at the given frequency (f) (4 Marks) IV. Using Multisim, confirm the currents and voltages calculated in parts ii and iii above, Including screen shots and appropriate instruments such as meters and/or oscilloscopes (7marks) V. Calculate the total power dissipation of the whole circuit at the given frequency (f), when a signal of 10V RMS is applied (2 marks) VI. Demonstrate in Multisim how the currents change around the resonant frequency (for example, from half to double the resonant frequency) (5 marks) VII. Discussion: Compare and contrast manual calculation methods with using a simulation tool such as Multisim. Which is better? (3 marks) 
Table 2 Circuit values based on the last digit of the student ID. 
Last Digit of Student ID R2(S2) L2 (mH) Cl (0) f (Hz) 0 9 15 4.7 10 1 16 12 2.2 20 2 9 18 6.8 30 3 16 22 6.8 40 4 9 22 10 50 5 16 10 6.8 60 6 9 15 22 70 7 16 12 10 80 8 9 12 6.8 90 9 16 12 15 100 
Your report should be neat, clear, professionally laid out. Good standards of English are to be expected. Annotate any figures or tables. You must include in your report a list of all of the materials referenced, in the APA format (5 marks) 

Question 3. Login circuits, Boolean algebra (35 marks) A control panel on an industrial machine includes five LEDs, which monitor and report on the condition of three switches (sensors). Each switch represents the binary status of a piece of equipment on the machine (for example, open or closed, on or off, under or over temperature). Each LED represents a particular combination of switch values. The input switches have been designated the names A, B and C. The output LEDs have been assigned the names LED I, LED2, LED3, LED4 and LEDS. The Boolean expressions of the LEDs are given below: 
However, it is believed that these may not be the most optimum expressions. Based on the last digit of the student ID, select just the two appropriate LEDs from Table 3. For each of those two (and only two) LEDs perform the following: i. Document and simplify each expression, step-by-step, using Boolean algebra (mention the relevant rules used at each step) (10 marks) ii. In Multisim, simulate both the original and simplified expressions for each of your two LEDs and comment on the differences between the original and your simplified design. Include screenshots of the simulated circuit diagrams (10 marks) iii. Pick NAND or NOR as a "universal gate". Redesign your two simplified circuits to use JUST NAND or NOR gates, only, simulate these in Multisim and demonstrate that the circuits produce the same output (7 marks) iv. DISCUSSION: What are the advantages of using a single type of logic gate in this way? (3 marks) 
In your report, provide answers to all the questions, include appropriate sketches, tables and diagrams and include screenshots of the simulations with the appropriate captions and in-text citations. 
Your report should be neat, clear, professionally laid out. Good standards of English are to be expected. Annotate any figures or tables. You must include in your report a list of all of the materials referenced, in the APA format (5 marks) 
Table 3 LED Selection based 011 your last ID digit