Lab Experiment No. 2Resistor Connections

I.Introduction

In this lab exercise, you will learn –

•how to read schematic diagramsof electronic networks,

•how to transform schematics into actual element connections,

•correct ways to layout a breadboard connection of a network,

•how to connect the DMM for measuring resistance, and

•how to combine resistors to establish terminal equivalence.

II.Experiment Procedure

A collection of resistive networks are given in Figures 1 through 6. The schematic diagram of the network is shown in (a) while the resistor connection is shown in (b) in each Figure. Obtain from the lab GTA all of the resistors required for these experiments. Use these resistors to correctly layout each of these networks on your breadboard. Apply the bench DMM to take measurements and make calculations required to fill out the tables provided with each network. Use specified and calculated values as the basis for percentage variations.

(a)Series connection. A series connection of resistors is shown in Figure 1. The schematic diagram of this connection is shown in Figure 1(a) while the actual resistor connection is shown in Figure 1(b). Fill out Table 1 with data obtained below.

i.Measure the resistance of each resistor in the series connection.

ii.With the specified resistor value as the basis, calculate resistor variations in per-cent (%).

iii.Calculate the value of the resistance at the terminals A-B. This is the terminal resistance RAB.

iv.Apply the DMM to measure RAB.

v.Calculate the variation in RAB in (%).

(b)Parallel connection. A parallel connection of resistors is shown in Figure 2. The schematic diagram of this connection is shown in Figure 2(a) while actual resistor connection is shown in Figure 2(b). Fill out Table 2 with data obtained below.

i.Measure the resistance of each resistor in the parallel connection.

ii.With the specified resistor value as the basis, calculate resistor variations in per-cent (%).

iii.Calculate the value of the resistance at the terminals A-B. This is the terminal resistance RAB.

iv.Apply the DMM to measure RAB.

v.Calculate the variation in RAB in (%).

(c)Series/parallel combination. A series connection of parallel resistors is shown in Figure 3. The schematic diagram of this connection is shown in Figure 3(a) while the actual resistor connection is shown in Figure 3(b). Fill out Table 3 with data obtained below.

i.Measure the resistance of each resistor in the connection.

ii.With the specified resistor value as the basis, calculate resistor variations in per-cent (%).

iii.Calculate the value of the resistor Rx that will produce a terminal resistance RAB of 84Ω.

iv.Obtain this resistor from the lab GTA and connect it into the network.

v.Apply the DMM to measure RAB.

vi.Calculate the variation in RAB from 84Ω in (%).

(d)Parallel/seriescombination. A parallel connection of series resistors is shown in Figure 4. The schematic diagram of this connection is shown in Figure 4(a) while the actual resistor connection is shown in Figure 4(b). Fill out Table 4 with data obtained below.

i.Measure the resistance of each resistor in the connection.

ii.With the specified resistor value as the basis, calculate resistor variations in per-cent (%).

iii.Calculate the value of the resistor Rx that will produce a terminal resistance RAB of 1.83KΩ.

iv.Obtain this resistor from the lab GTA and connect it into the network.

v.Apply the DMM to measure RAB.

vi.Calculate the variation in RAB from 1.42KΩ in (%).

(e)Combination 1 (Combo 1) connection. A combination connection of resistors in series and parallel is shown in Figure 5. The schematic diagram of this connection is shown in Figure 5(a) while the actual resistor connection is shown in Figures 5(b). Fill out Table 5 with data obtained below.

i.Measure the resistance of each resistor in the connection.

ii.With the specified resistor value as the basis, calculate the resistor variation in per-cent (%).

iii.Calculate the value of the resistance at the terminals A-B. This is the terminal resistance RAB.

iv.Apply the DMM to measure RAB.

v.Calculate the variation in RAB in (%).

(f)Combination 2 (Combo 2) connection. Yet another combination connection of resistors in series and parallel is shown in Figure 6. The schematic diagram of this connection is shown in Figure 6(a) while the actual resistor connection is shown in Figures 6(b). Fill out Table 6 with data obtained below.

i.Measure the resistance of each resistor in the connection.

ii.With the specified resistor value as the basis, calculate the resistor variation in per-cent (%).

iii.Calculate the value of the resistance at the terminals A-B. This is the terminal resistance RAB.

iv.Apply the DMM to measure RAB.

v.Calculate the variation in RAB in (%).

III.Lab Report

The report for this lab experiment must be word-processed and contain the following items –

•Title Page.

•Introduction.

•Procedure.

•Results.

•Discussions.

(a)Suggest useful applications for the connections studied in this experiment.

•Conclusion. Provide detailed comments and discussions on the items listed below for each resistor network.

(a)Are all resistors within tolerance? List those that are not.

(b)Account for the difference between measured RAB and calculated RAB (that is, the calculated variation or tolerance of RAB).

(c)Explain how the variation in RAB corresponds to resistor tolerance.

(d)Explain how close the calculated values of Rx in the series/parallel and parallel/series connections are to standard resistor values. Consider resistor tolerance.

•Appendix.

•References.

Series Connection

Figure 1

(a) Schematic for the series connection

(b) Component connection diagram

Table 1
Series connection
Resistor
(Ri) / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
R1 / 3.9K
R2 / 2K
R3 / 5.1K
R4 / 1.2K
R5 / 8.2K
Terminal
resistance / Calculated value
(Ω) / Measured value
(Ω) / Variation
(%)
RAB

Parallel Connection

Figure 2

(a) Schematic for the parallel connection

(b) Component connection diagram

Table 2
Parallel connection
Resistor
(Ri) / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
R1 / 10K
R2 / 7.5K
R3 / 15K
R4 / 3.3K
R5 / 2.2K
Terminal
resistance / Calculated value
(Ω) / Measured value
(Ω) / Variation
(%)
RAB

Series/Parallel Connection

Figure 3

(a) Schematic for the series/parallel connection

(b) Component connection diagram

Table 3
Series/parallel connection
Resistor
(Ri) / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
R1 / 15
R2 / 12
R3 / 30
R4 / 27
R5 / 56
R6 / 75
R7 / 62
R8 / 82
R9 / 91
Rx
Terminal
resistance / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
RAB / 84

Parallel/Series Connection

Figure 4

(a) Schematic for the parallel/series connection

(b) Component connection diagram

Table 4
Parallel/series connection
Resistor
(Ri) / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
R1 / 1.5K
R2 / 1.2K
R3 / 3K
R4 / 2.7K
R5 / 5.6K
R6 / 7.5K
R7 / 6.2K
R8 / 8.2K
R9 / 9.1K
Rx
Terminal
resistance / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
RAB / 1.83K

Combo 1 Connection

Figure 5

(a) Schematic for Combo 1 connection

(b) Component connection diagram

Table 5
Combo 1 connection
Resistor
(Ri) / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
R1 / 200
R2 / 1.3K
R3 / 3.6K
R4 / 1.2K
R5 / 1.8K
R6 / 1.3K
R7 / 2.2K
R8 / 2.2K
R9 / 1.2K
R10 / 300
R11 / 1K
R12 / 1.5K
R13 / 3K
R14 / 1K
R15 / 2K
R16 / 1K
Terminal
resistance / Calculated value
(Ω) / Measured value
(Ω) / Variation
(%)
RAB

Combo 2 connection

Figure 6

(a) Schematic for Combo 2 connection

(b) Component connection diagram

Table 6
Combo 2 connection
Resistor
(Ri) / Specified value
(Ω) / Measured value
(Ω) / Variation
(%)
R1 / 47K
R2 / 30K
R3 / 120K
R4 / 20K
R5 / 30K
R6 / 15K
R7 / 30K
R8 / 22K
R9 / 10K
R10 / 300K
R11 / 100K
R12 / 15K
R13 / 100K
R14 / 150K
R15 / 15K
R16 / 75K
Terminal
resistance / Calculated value
(Ω) / Measured value
(Ω) / Variation
(%)
RAB