4w Motion of charged particles in E and B Fields Worksheet 051622

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Drexel University *

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102

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Mechanical Engineering

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Jan 9, 2024

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PHYS 102 – Lab 4 – Motion of charged particles in E and B Fields - WORKSHEET Sam Macris, Chris Gautreau, Jonathan Andersson (Known values: e = 1.602 E-19 C, m e = 9.11 E-31 kg) Parameters for apparatus N = 130 R = 0.15 m Calculate the speed of electrons accelerating across a 250 V potential difference (show work). V = mv 2 /2e 250 = (9.11E -31 )v/2(1.602E -19 ) v = 8.79 E 13 m/s Calculate the required current in the Helmholtz coils to achieve ~10 -3 T magnetic field (show work). B = (⅘) 3/2 * μ 0 NI/R 10 -3 = (⅘) 3/2 * (4πE -7 )(130)I/(0.15) I = 1.28 A Suppose the magnetic field is 10 -3 T, and the accelerating voltage is 250V. Using known values for e and m, calculate the expected radius of the electrons’ orbit (show work). e/m=v/(rB) (1.602x10^-19)/(9.1x10^-31)=250/(r(10^-3)) r=1.42x10^-6
Data Analysis: Lab ^N4.xlsx Use an Excel workbook to record measurements of the electron orbit radius for varying accelerating voltages and Helmholtz coil currents, and use these values to make a prediction for the e/m ratio of an electron. Turn in your Excel file with this worksheet. Write your prediction below. (Hint: in the spirit of the previous two labs, find a way to plot the data such that your e/m prediction is given by the slope of a line)
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