Using the screenshot above as reference, describe your prediction about how wire length will impact current and explain your reasoning.
In this lesson students will explore how electric current flows in a wire and explore how current depends on applied voltage, wire length, and wire material. Additionally, students will continue to explore ways to measure current and find ways to aggregate their own data using computational tools. They will be introduced to an additional modeling tool called Codap which allows data from NetLogo to be displayed in a table and be manipulate and analyzed.
In this lesson you will explore how electric current flows in a wire and explore how current depends on applied voltage, wire length, and wire material. Additionally, you will continue to explore ways to measure current and find ways to aggregate your own data.
Yesterday, you used this model to explore how wire width affected current and how current can be measured. Now, based on your prior explorations with the model, make a prediction about how wire length will impact current. Use the screenshot below as a reference and answer the question below.
Using the screenshot above as reference, describe your prediction about how wire length will impact current and explain your reasoning.
Use the model below to test your prediction about how wire length affects current.
When you were examining wire width, you compared data with other classmates to come up with a more accurate measurement representing current. Now you can use the modeling tool below to run multiple trials and aggregate your own data.
With your classmates, you found averages by conducting multiple trials and averaging the data collected across trials. Now, you'll be introduced to a tool that allows you to calculate a running average that will average all the measurements for current within one trial. To find that the average current within an individual trial, you can average all the individual current now measurements that you take.
In the workspace below is the model, now with an empty table and empty graph. As you run your model, the table will automatically update data from the model at each tick. Each time you press setup, you will begin a new “run” or trial of data collection. You can graph these data by pulling the variable headers from the table into an axis of the graph. You can also calculate specific information about the data by updating the table with formulas.
There are instructions on using the data table and graphing tools are embedded in the model's instruction window. You can move this window by dragging it's blue headers and also resize it by dragging any side of it. If you close the instructions, click the GUIDE button that looks like a book in the upper right-hand corner and select "Show Guide".
What is the relationship between wire length and current?
Upload a photo of the graph that supports these findings. To do this, click on the graph in the workspace above. When the teal option bar pops up, click on the camera at the bottom and save the image as a local file. Then, click use the file finder below to attach the image to this page. You can upload more than one graph that support your findings.
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Explain the graph(s) uploaded above support your findings.
How did you generate data to determine the relationship? Justify the process you used. Hint: Consider how many trials you conducted, how long you let each trial run (ticks), and what parameters you changed between trials.
What size of wire widths and lengths provide the highest current? What sizes provide the lowest current?
Compare the data collection process from discovering the impact of wire width and of wire length. What was the difference between the first and second explorations? How did computational tools help you to determine the relationship between these parameters (wire width's and wire length's affect on current)?
Please wait for teacher instruction before moving on
Using prior explorations with the model, make a prediction about how wire type will impact current. The model contains three types of wire, each with a different resistance. Resistance is an electrical quantity that measures how the material reduces electric current flow through it. The materials in the model are lead, tin, and aluminum. Use the chart of resistance and the screenshots below to identify what metal matches each model state.
Tin | 11.5 x10-8 Ohm m |
Aluminum | 2.65 x10-8 Ohm m |
Lead | 22 x 10-8 Ohm m |
The Ohm meter is a measure of resistivity, with higher values reflecting greater resistance.
Metal 1
Metal 2
Metal 3
Using the table and screenshots above as reference, match each metal with the model states and explain your reasoning for the match. Make sure to discuss both current and resistance in your explanations.
Use the model below to test your prediction about how wire metal affects current. When you were examining wire width, you compared data with other classmates to come up with a more accurate measurement representing current measurements taken from multiple trials. Now, just like you did to learn about wire length, you can use the modeling tool below to run multiple trials and aggregate your own data in a similar way.
There are instructions on using the data table and graphing tools are embedded in the model's instruction window. You can move this window by dragging it's blue headers and also resize it by dragging any side of it. If you close the instructions, click the GUIDE button that looks like a book in the upper right-hand corner and select "Show Guide".
What was the data generating process you used to determine the relationship? Justify the process used
How did you use the model to find out the relationship?
What is the relationship between metal type and current? Upload a photo of the graph that supports these findings.
Upload a photo of the graph that supports your findings of the relationship between metal type and current.
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Please wait for teacher instruction before moving on