5 Measuring Electric Deflection with a Cathode-Ray Tube Worksheet Spring 2023

a. Ground from multimeter to Ground on power supply and the multimeter hot lead to HV Cathode on power supply b. Ground from multimeter to Ground on power supply and the multimeter hot lead to Sweep AC on power supply c. Ground from multimeter to HV Cathode on power supply and the multimeter hot lead to Ground on power supply d. Ground from multimeter to Sweep AC on power supply and the multimeter hot lead to Ground on power supply 6. [2 pts] The multimeter measures the root mean squared value of a voltage/current ( 𝑉 ?𝑀? ). How is the multimeter measurement related to the deflection voltage ( )? 𝑉 𝐷 a. = 𝑉 𝐷 2 𝑉 ?𝑀? b. = 𝑉 𝐷 2𝑉 ?𝑀? c. = 𝑉 𝐷 𝑉 ?𝑀? / 2 7. [2 pts] What is the smallest length that the caliper can measure (finest resolution)? Data Analysis [29 pts] : 8. [13 pts] Make a plot of 2 d (mm) vs (V). Perform a linear fit on the plot and state your m 𝑉 𝐷 (slope) and b (y-int) results. Include your plot, remember a title and labels! 9. [8 pts] Determine the value for the effective length ( ) and its corresponding error ( 𝑙 ??? δ𝑙 ??? ) with units. Include your expression for . δ𝑙 ??? 10. [4 pts] Calculate the value for and its corresponding error ( ). Include your expression α δα for . δα 11. [4 pts] Calculate this week’s confidence value for and comment on it. α Results And Conclusions [10 pts] : 12. [2 pts] Is your plot of 2 d vs linear? How do you know? 𝑉 𝐷 13. [5 pts] Does your y -intercept value agree with the y-intercept value expected from Eq. (5.13) in the manual? Find the agreement and comment. 14. [3 pts] Does the parallel plate capacitor inside the CRT have fringe effects that need to be considered? Explain. Questions [4 pts]: 15. [4 pts] Newton’s kinematics break down when traveling near the speed of light. Compare the speed of an electron in the cathode-ray tube calculated from Eq. (5.9) in the manual to the speed of light c = m/s. Can we just keep using Newtonian mechanics? 3 · 10 8 (Note: Relativistic effects become important at around 50% of the speed of light.)