7. What does doubling the voltage do to the strength of the electromagnet? Show your thought process using the numbers from your data table as evidence and a written explanation of your choice as the claim. 8. Interpolation: Using the graph, predict how many paper clips a 6.5 V battery would pick up for both the 25-turn electromagnet and the 50-turn electromagnet. Mark the line on the graph with an x to show each point.
Answer, including units, for 25-turn electromagnet
Answer, including units, for 50-turn electromagnet:
9. Extrapolation: Using the graph, predict how many paper clips a 1.0 V battery would pick up for both the 25-turn electromagnet and the 50-turn electromagnet. Mark the line on the graph with an x to show each point
Answer, including units, for 25-turn electromagnet:
Answer, including units, for 50-turn electromagnet:
10. Calculate the slope of the 25-turn electromagnet line and the 50-turn electromagnet line to determine the average number of paper clips that a 13.0 V battery would pick up. Show your work, including the generic equation for calculating slope (there are no words in an equation, only variables, numbers and symbols).
a. Slope answer for the 25-turn electromagnet, including units rounded to the nearest tenth:
Work shown to calculate the slope:
b. Slope answer for the 50-turn electromagnet, including units rounded to the nearest tenth:
Work shown to calculate the slope:
c. Now that you have the slope calculated, write the equation for the line representing the 25-turn electromagnet in the y = mx + b format. Assume b = 0.
d. Now that you have the slope calculated, write the equation for the line representing the 50-turn electromagnet in the y = mx + b format. Assume b = 0.
e. Use the equation of the line you just wrote in part c to determine the average number of paper clips that a 13.0 V battery would pick up in the 25-turn electromagnet. Show your work, starting with re-writing the equation of the line from part c and then show your substitution and calculation. Record your final answer rounded to the nearest whole number, including units.
Final answer rounded to the nearest whole number, including units:
Work shown
f. Use the equation of the line you just wrote in part d to determine the average number of paper clips that a 13.0 V battery would pick up in the 50-turn electromagnet. Show your work, starting with re-writing the equation of the line from part d and then show your substitution and calculation. Record your final answer rounded to the nearest whole number, including units.
Final answer rounded to the nearest whole number, including units:
Work shown:
11. Go back to the lines on your graph and extend them to include 13.0 V and a little beyond. Label 13.0 V on the Voltage axis. Go to your line and mark the point where 13.0 V intersects with the line – mark it with an x – do this for both lines at 13.0 V. What is the value for the # of paper clips picked up at 13.0 V?
a. # paperclips picked up by the 25-turn electromagnet:
b: # paperclips picked up by the 50-turn electromagnet:
c. In general, describe how the # of paperclips calculated from the equation and the # of paperclips from your line graphs compare.
d. Choose one of the line graphs (either 25-turn or 50-turn – highlight which one you will be using as your example) and use the numbers from the equation (in Question 10 c or d) and the number you interpreted from the line graph (in part a or b above) to support the conclusion you drew in part c.