PHYS 2092_Lab 3_Answer Sheet_Revised
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Apr 3, 2024
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PHYS 2092
Lab 3:
Direct Current Circuits
Purpose (2 points): To understand and explore how a current flow through a direct circuit. We will explore this by using the same.
R values in a series combination and parallel combination. Our goal is to calculate the effective resistance by
applying a set of rules for series and parallel combinations.
Theory (5 points):
In the series combination
the equivalent resistance of the series is given by
R
s
=
R
1
+
R
2
+
R
3
=
∑
i
R
i
If we replace the three resistors by a single resistor of resistance R
s
, we will obtain the same net resistance between the terminals.
In the parallel combination the equivalent resistance of the combination is given by
1
R
p
=
1
R
1
+
1
R
2
+
1
R
3
=
∑
i
1
R
i
if we replace the three resistors in the figure by a single resistor of resistance R
p
, we will obtain the same net resistance between the terminals.
As the current coming from the battery will be met with an effective resistance no matter what the combination is, we can simply apply Ohm’s Law to obtain the Effective Resistance for different combinations and verify if the theories stand:
R
eff
=
V
bat
I
Data (5 points):
Table 3.1: Experimental Data
Series Combinations
R
1
R
2
R
3
Voltage: V
bat
Current: I
10
20
100
15V
0.12A
Parallel Combination
10
20
100
15V
2.40A
Data Analysis (5 points)
Series Combinations
1.
Effective resistance (expected value) = R
s
=
R
1
+
R
2
+
R
3
=
∑
i
R
i
= 10+20+100 = 130
2.
Effective resistance (experimental value) = R
eff
=
V
bat
I
= 15
v
0.12
A
= 125
3.
What is the percentage difference?
%
𝐸 = (
Expected
−
Experimental
¿
¿
expected
x
100%
=
130
−
125
130
x
100%
=
3.84 %
Parallel Combinations
1.
Effective resistance (expected value) = 1
R
p
=
1
R
1
+
1
R
2
+
1
R
3
=
∑
i
1
R
i
1
Rp
=
1
10
+
1
20
+
1
30
=
¿
5.46
2.
Effective resistance (experimental value) = R
eff
=
V
bat
I
= 15
v
2.40
= 6.25
3.
What is the percentage difference?
%
𝐸 = (
Expected
−
Experimental
¿
¿
expected
x
100%
=
5.46
−
6.25
5.46
x
100%
=−
14.46%
Summary of Results (5 points)
Series Combinations
1.
Insert screenshot of your series combination setup.
2.
Write a conclusion based on your observations.
Does the series combination formula hold?
The theory is that we can replace 3 resistors with 1
which would be the total of all 3. In this case it
would not work because our expected value would
be 130
. During the experiment it was determined
to be 125
which gave us a percent error of a little over 3%.
Parallel Combinations
1.
Insert screenshot of your parallel combination setup.
2.
Write a conclusion based on your observations. Does
the parallel combination formula hold?
The theory is that we can replace 3 resistors with 1 which
would be the total of all 3. In this case it would work
because our expected value was 5.45
and during our
experiment I obtained a value of 6.25
which is higher than
we
were expecting.
Conclusion and Discussion (5 points)
The theory is that is we replace 3 resistors with 1 with the sum of those 3 individual resistors we would get the same net resistance. This theory proved false as our first experiment was undervalued and the second experiment was over our predicated value. According to Ohm's Law, if you increase the resistance, keeping the voltage constant, the current will decrease. So, in the case of a resistor with higher ohms, it will have a slower current compared to a resistor with lower ohms when exposed to the same voltage.
Overall Quality of Report (3 points)
All part of the lab report are included and correctly organized, section headings are properly labeled, entire report is clear and legible, with correct grammar and spelling.
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