Lab 7 - Series-Parallel Circuits v3
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Apr 3, 2024
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ELN9104
Lab 7 – Series-Parallel Circuits
Purpose:
The purpose of this lab is to build and take measurements of series-parallel circuits and to understand how to troubleshoot more complex circuits.
Materials
The following resistors
2 x 1 kΩ, 2.2 kΩ, 2.7 kΩ, 5.6 kΩ and a 330 Ω resistors
1 LED
1 10 kΩ potentiometer
Procedure:
1.
Measure each resistor and record the measurements in Table 1. Table 1
Measured value
Measured value
R
1
: 1 kΩ
0.996
R
4
: 1 kΩ
0.994
R
2
: 2.2 kΩ
2.16
R
5
: 5.6 kΩ
5.46
R
3
: 2.7 kΩ
2.69
R
6
: 330 Ω
0.327
10 kΩ pot
10.1
Circuit 1
2.
Build the circuit in Schematic 1
3.
Calculate each of the values in Table 2. Use your measured values for each resistor for your calculations.
4.
Draw an equivalent series circuit in the space provided above.
5.
Measure each of the values in Table 2.
Schematic 1
Equivalent series circuit
C
V
S
ELN9104
Lab 7
Table 2
Step 3 calculated
Step 5 measured
Step 9 measured
Step 11 measured
R
2,3,4
1.2kΩ
2.19kΩ
0.999 kΩ
2.2 kΩ
R
2,3,4,5
1.6 kΩ
1.57 kΩ
1 kΩ
2.2 kΩ
R
T
2.6
2.55 kΩ
1.79 kΩ
3.2 kΩ
V
S
12v
12V
12v
12v
I
T
4.62mA
4.65mA
6.4mA
3.59mA
I
1
4.65mA
4.65mA
6.4mA
3.57mA
I
2
1.8mA
1.48mA
0
2.2mA
I
3
1.53mA
1.84mA
0
1.71mA
I
4
4.92mA
3.33mA
5.4mA
3.7mA
I
5
1.34mA
1.34mA
1mA
0
V
1
4.7v
4.70V
6.5v
3.7 v
V
2,3
4.03v
4.03V
0
4.5v
V
4
3.37v
3.35V
5.5v
3.7v
V
5
7.39v
7.37V
5.5v
0
6.
Choose 3 loops in the circuit and write the Kirchhoff’s Voltage Law (KVL) equations for each loop. Use your measured values for each equation.
7.
Write the Kirchhoff’s Current Law (KCL) equations for node A and node B. Use your measured values for each equation.
8.
Simulate a short in the circuit by placing a jumper wire between points A and B. What do you think will happen to I
T
? Explain using calculations.
R1 to R4 =12.0 v – Vs =0
R1 TO R5 =12 V -Vs =0
R2 TO R3 =12V – VS =0
KCL=I
2
-I
3
KCL=2.2-1.7
KCL=0.5 mA When we do R2 and R3 will cancel.
ELN9104
Lab 7
9.
Measure each value again with the short in place and record the values in Table 2. Then remove
the jumper wire. 10.
Simulate an open in the circuit by opening the circuit at point C. What do you think will happen to I
T
? Explain using calculations.
11.
Measure each value again with the open and record the values in Table 2.
Circuit 2
12.
Build the circuit in Schematic 2.
13.
Set the DC power supply to 5V.
14.
Adjust the pot so that the LED is off. Measure I
T
and V
out
. Place your measurements in Table 3.
15.
Slowly adjust the pot until the LED is on. Take the measurements listed in Table 3 and record your results.
16.
Calculate the expected current in R
3
and the LED branch using your measured values. Table 3
LED is OFF
LED is ON
I
T
0.48mA
9.50mA
V
out
0
0
V
R6
2.85v
V
LED
1.9v
calculated
measured
I
R6
8.7mA
8.2mA
I
R3
0.8mA
1.2mA
Current increase as resistance decrease.
Schematic 2
V
out
Notice that the current through the LED branch is lower than the 2.7 kΩ branch. The LED requires a minimum voltage to turn on, V
LED
. To calculate the current through this branch of the circuit you must use V
R6
and the measured value
of R
6.
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ELN9104
Lab 7
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