Reference no: EM13849992
I. OBJECTIVES
1. To troubleshoot a complex circuit and determine various currents and voltages using mesh analysis.
2. To simulate the complex circuit in MultiSim and record the required quantities.
3. To determine the various currents and voltages after wiring the circuit.
II. PARTS LIST
Equipment:
DC Power Supply
DMM (Digital Multimeter)
Parts:
1Resistors
QTY

Resistor Value

Power Rating and Tolerance (if Available)

1

180 ?

Gold  ¼ Watt

1

220 ?

Gold  ¼ Watt

1

390 ?

Gold  ¼ Watt

1

470 ?

Gold  ¼ Watt

2 Breadboard and HookUp Wires
Software: MultiSim
III. PROCEDURE:
Part III  A
For the circuit in Figure 41 below, predict circuit characteristics using themesh analysis theorem.
1. Mesh Analysis Using Branch Currents
Figure 4.1a: DC Circuit with Two Voltage Sources (Branch Currents)
Where V_{S1}= 12 V, V_{S2}= 5 V,R1 = 180 ?, R2 = 390?, R3 = 220 ?, andR4 = 470 ?.
Equation (1)


Equation (2)


Equation (3)


To use themesh analysis method, select the branch current direction, I1 and I2, as indicated below. Write down the two simplified mesh equations needed.
To use themesh analysis method, select the loop current direction, I1 and I2, as indicated below. Write down the two simplified mesh equations needed.
Equation (1)


Equation (2)


3. Solve the above equations and calculate the loop current, I1 and I2, then use the information to complete the rest of the table.
Item

Calculated Value

I_{1}


I_{2}


I_{A}


I_{B}


I_{C}


I_{R1}


I_{R2}


I_{R3}


I_{R4}


V_{R1}


V_{R2}


V_{R3}


V_{R4}


P_{V1}


P_{V2}


Table 41
4. Verify KVL using your calculated voltages from the table above for each loop.
KVL for Loop 1:
KVL for Loop 2:
5. Verify KCL for Node C.
KCL for Node C:
Part III  B
Simulated Circuit Calculations UsingMultiSim
For the circuit in Figure 42 below, simulate using MultiSim. In this exercise, you need to verify all of the values calculated in Step 2 of Part III  A.
1. Build the Basic Circuit in MultiSim as follows in Figure 42. Place your meters in their appropriate location and record the values in the table below.
Figure 42  MultiSim Circuit
Item

Simulated Value

I_{1}


I_{2}


I_{R1}


I_{R2}


I_{R3}


I_{R4}


V_{R1}


V_{R2}


V_{R3}


V_{R4}


P_{V1}


P_{V2}


Part III  C
Construction of the Circuit and Measurement of Circuit Characteristics
1. Select the resistor components. Measure and record their values.
R1 = ________ (?) R2 = ________ (?) R3 = ________ (?) R4 = ________ (?)
2. Is each resistor within the acceptable tolerance range? _______ (YES or NO)
3. Construct the circuit in Figure 3.1. Do not connect the power supply yet.
4. Set one power supply voltage to 12 VDC. Set the second power supply voltage to 5 VDC.
5. Record the voltage reading of the first supply. _______
Adjust the power supply, making sure you read close to 12 VDC.
6. Record the voltage reading of the second supply. _______
Adjust the power supply, making sure you read close to 5 VDC.
7. Switch OFF the power supplies. Connect the voltage source to the proto board.
8. Set DMM to measure each ofthe branch currents I_{R1}, I_{R2}, I_{R3},and I_{R4}.(Be sure to switch OFF the voltage source while making the DMM connections for the branch current measurement. Then, switchON the DC power to the proto board to obtain the measurement reading.) Record the current reading. The process is repeated for each current measurement.
I_{R1} =_____________ (A) I_{R2} =_____________ (A)
I_{R3} =_____________ (A) I_{R4} =_____________ (A)
9. Turn OFF the power switch.Reconnect the DMM to measure the indicated resistor voltages. Turn ON the power switch. Measure the voltages across each resistor.
V_{R1}
V

V_{R2}
V

V_{R3}
V

V_{R4}
V





D. Results Analysis of a SeriesParallel Circuit
1. Complete the table containing the theoretical results and experimental results obtained for R1, R2, R3, R4, V_{S1} (supply voltage), V_{S2} (supply voltage), I_{1}(current thru R1), I_{2}(current thru R2), I_{3}(current thru R3), and I_{4}(current thru R4). Calculate the power sourced by both supply 1 and supply 2.
2. Calculate the percentage of error for each result recorded in Step D1.
Percent of error = (experimental  theoretical)/Theoretical * 100%
Measurement

Theoretical

Experimental

Error %

R1




R2




R3




R4




V_{S1}




V_{S2}




I_{1}




I_{2}




I_{A}




I_{B}




I_{C}




I_{R1}




I_{R2}




I_{R3}




I_{R4}




V_{R1}




V_{R2}




V_{R3}




V_{R4}




P_{S1}




P_{S2}




3. Provide your thoughts on the results regarding the percentage of errors obtained between the experimental and theoretical results.
Part III  D
Troubleshooting & Testing
IV. TROUBLESHOOTING
Describe any problems encountered and how those problems were solved.
IV. Questions
1. I_{1} was measured to be 27.54 mA, and the voltage across R_{3} is 2.058 V. Both supply voltages were tested to be with the correct value. What is the fault in the circuit? (Hint: Use MultiSim).
2. If V_{R2} was measured to be 12 V, then what is the fault in the circuit?
3. What is the relationship between the branch currents, loop currents, and resistor currents?