A student investigated how the resistance of a piece of wire varies with its length - AQA - GCSE Physics Combined Science - Question 3 - 2020 - Paper 1
Question 3
A student investigated how the resistance of a piece of wire varies with its length.
Figure 2 shows the circuit used.
Explain why the student needed to adjust the ... show full transcript
Worked Solution & Example Answer:A student investigated how the resistance of a piece of wire varies with its length - AQA - GCSE Physics Combined Science - Question 3 - 2020 - Paper 1
Step 1
Explain why the student needed to adjust the variable resistor each time she changed the length of the wire.
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Answer
The variable resistor changes the resistance of the circuit to keep the current the same. This adjustment is necessary because altering the length of the wire affects the resistance; thus, to prevent the temperature from rising and ensure accurate readings, the variable resistor must be adjusted.
Step 2
Calculate X in Table 1.
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Answer
Given the mean potential difference is calculated by averaging the measurements:
o
diff
erence = rac{1 + 3 + X}{3}
We also have the mean given as 0.17.
Setting up the equation:
0.17 = rac{4 + X}{3} \rightarrow 0.51 = 4 + X \rightarrow X = 0.18\ V
Step 3
Describe the relationship between the length of the wire and the resistance of the wire.
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Answer
The resistance of the wire is directly proportional to its length. As the length of the wire increases, the resistance also increases. This is due to the fact that longer wires provide more opposition to the flow of electric current.
Step 4
Determine the current in the blood sample.
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Answer
Using Ohm's Law, we know that:
I=RV
where:
V = 0.90 V (potential difference)
R = 7.5 \Omega (resistance)
Plugging in our values:
I=7.50.90=0.12A
Step 5
Explain why valid results are only obtained if each tube is identical.
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Answer
Each blood sample is tested in a new tube to ensure that the dimensions and properties of the tubes do not vary. If the tubes differ in width or shape, they could affect the resistance measured by the glucometer, leading to inconsistent results. Therefore, maintaining identical conditions is crucial for valid comparisons.