PES2150_Salberg_KirchhoffPrelab
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Electrical Engineering
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Apr 3, 2024
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UNIVERSITY OF COLORADO – COLORADO SPRINGS
Kirchhoff’s Laws
Name: Abigail Salberg
PES 2150 Prelab Questions
1.)
Explain how to measure the following quantities with a DMM.
a.) Voltage
Touch the DMM’s leads to either side of the component, in parallel. Set the
DMM to voltage mode and input the appropriate range. b.) Current
Put the DMM in series with the component, the current must flow through the DMM as well as the component. Set the DMM to current mode and input the appropriate range.
c.) Resistance
Remove the resistor from the circuit and touch the DMM’s leads to either end. Set the DMM to resistance mode and input the appropriate range.
Note:
For Prelab questions 2, 3, and 4, go to the website:
https://phet.colorado.edu/sims/html/circuit-construction-kit-dc-virtual-lab/latest/circuit-
construction-kit-dc-virtual-lab_en.html
Open the Circuit Construction Kit simulation.
P E S 2 1 5 0 - P H Y S I C S L A B O R A T O R Y I I
2.)
Once the Circuit Construction Kit program has loaded, begin constructing the circuit shown below:
Use the ‘Schematic’ visual setting to make sure your circuit matches the diagram above.
When the circuit is set up and running, answer the following questions:
a.) Why do the electrons in the program flow in the opposite direction as the ‘conventional’ current indicated in the figure above? Because electrons will flow towards the + side due their – charge. Conventional direction of flow if from + to -, so this is why they are opposite
. b.) Right click on the battery and resistor to set them to exactly
E
=
10
V
and
R
=
15
Ω
respectively (Use the ‘Show Values’ check box to make sure of this). Then, use the voltmeter and ammeter to complete the following table. (Hint: How should you measure voltage and current with these meters?)
The current here is slower, the voltage is at 10.00V, and the current is 0.67A. c.) Repeat Part (b) with the battery set at
10
V
and the resistor at
5
Ω
. What happens to the current here compared to Part (b)? Explain.
The current here is much faster than in Part b. This is because there is less
resistance to their movement. Battery Voltage
Voltage Across
Current
I
Resistance
R
Ohm’s Law
Kirchhoff Prelab - 2
Schematic View
‘Lifelike’ View
P E S 2 1 5 0 - P H Y S I C S L A B O R A T O R Y I I
E
(
V
)
Resistor
V
(
V
)
(
A
)
(
Ω
)
R
=
V
/
I
(
Ω
)
10
10.00
0.67
15
15
5
10.00
2.00
5
5
3.)
Again, using the Circuit Construction Kit you used in the previous question, build the following circuit. The battery voltage should be exactly
E
=
10
V
and the resistances should be exactly
15
Ω
and
5
Ω
respectively.
a.) Once the circuit is set up, look at the flow of electrons in the program. Qualitatively, how does the current through the
15
Ω
resistor compared to the current through the
5
Ω
resistor? Why is this so?
The current through the 5 Ω
resistor is greater and faster than the 15 Ω
resistor. This is
because there is less resistance in the 5 Ω
resistor, and therefore the electrons can flow
more freely. b.) Using the Circuit Construction Kit program, measure the following quantities:
Measured Current through the
15
Ω
Resistor (
I
1
)
0.67
A
Measured Current through the
5
Ω
Resistor (
I
2
)
2.00
A
Measured Voltage across the
15
Ω
Resistor (
V
)
10.00
V
Measured Voltage across the
5
Ω
Resistor (
V
)
10.00
V
Kirchhoff Prelab - 3
R = V/I
R = 10.00/0.67
R = 15
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P E S 2 1 5 0 - P H Y S I C S L A B O R A T O R Y I I
c.) Compute the equivalent resistance of this circuit from:
R
=
V
I
total
where
I
total
is the sum of the currents through each resistor.
d.) Compute the equivalent resistance of this circuit from:
1
R
=
1
R
1
+
1
R
2
and compare your answer here to your answer in Part (c).
This has a percent different of 1.34%. 4.)
Again, using the Circuit Construction Kit you used in the previous question, build the following circuit. The battery voltage should be exactly
E
=
10
V
and the resistances should be exactly
15
Ω
and
5
Ω
respectively.
a.) Once the circuit is set up, look at the flow of electrons in the program. Kirchhoff Prelab - 4
R = V/I
total
R = 10.00/2.67
R = 3.75
1/R = 1/15+1/5
1/R = 0.27
1 = 0.27R
R = 3.70
R
eq
=
3.75
R
eq
=
3.70
P E S 2 1 5 0 - P H Y S I C S L A B O R A T O R Y I I
Qualitatively, how does the current through the
15
Ω
resistor compared to the current through the
5
Ω
resistor? Why is this so?
The current is the same. This is because they are in line with each other. b.) Using the Circuit Construction Kit program, measure the following quantities:
Measured Current through the
15
Ω
Resistor (
I
)
0.50
A
Measured Current through the
5
Ω
Resistor (
I
)
0.50
A
Measured Voltage across the
15
Ω
Resistor (
V
1
)
7.50
V
Measured Voltage across the
5
Ω
Resistor (
V
2
)
2.50
V
c.) Compute the equivalent resistance of this circuit from:
R
=
V
total
I
where
V
total
is the sum of the voltages across each resistor.
d.) Compute the equivalent resistance of this circuit from:
R
=
R
1
+
R
2
and compare your answer here to your answer in Part (c).
These have a percent different of 0%.
Kirchhoff Prelab - 5
R = V
total
/I
R = 10/0.50
R = 20
R = R1+R2
R = 15+5
R = 20
R
eq
=
20
R
eq
=
20
P E S 2 1 5 0 - P H Y S I C S L A B O R A T O R Y I I
Kirchhoff Prelab - 6
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