Write a one sentence claim about the relationship between the battery voltage and the number of paperclips picked up. Use the data from the 25-turn electromagnet to guide you.
A group of students has been testing electromagnets in the lab. They made an electromagnet by wrapping copper wire around a nail. For one set of tests, they wrapped the wire around the nail 25 times. For the second set of tests, they wrapped the wire around the nail 50 times. They also have 8 different batteries: 1.5 V, 3.0 V, 4.5 V, 6.0 V, 7.5 V, 9.0 V, 10.5 V, and 12.0 V. They use their electromagnets to see how many paper clips each can pick up.
25-turn Electromagnet
Battery Voltage
Number of Paper Clips Picked Up
Average
First Trial
Second Trial
Third Trial
1.5 V
5
7
6
3.0 V
12
12
14
4.5 V
14
17
16
6.0 V
20
26
25
7.5 V
29
32
28
9.0 V
34
36
36
10.5 V
40
40
41
12.0 V
45
42
46
The higher the battery voltage, the greater the number of paper clips picked up by the 25-turn electromagnet.
Please state the relationship, identify the variables and incorporate data/trends/patterns for each variable in the sentence.
As the battery voltage increases from 1.5 V to 12.0 V, the number of paper clips picked up by the 25-turn electromagnet also increases, demonstrating a positive correlation between battery voltage and paper clip attraction in this particular configuration.
What is the approximate ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 3.0 V battery? Show your work.
To find the approximate ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 3.0 V battery, we find the average number of paper clips picked up for each:
For the 6.0 V battery:
(20 + 26 + 25) / 3 = 23.67
For the 3.0 V battery:
(12 + 12 + 14) / 3 = 12.67
Therefore, the ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 3.0 V battery is approximately 23.67 / 12.67, which is roughly 1.87:1.
round the answers to the nearest whole number, then make the ratio
After rounding the average number of paper clips picked up for each battery to the nearest whole number:
For the 6.0 V battery: 23
For the 3.0 V battery: 13
The ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 3.0 V battery is approximately 23:13.