PHY 132 - e_m of the Electron worksheet

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Arizona State University *

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132

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Physics

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Dec 6, 2023

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4

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1 E / M O F T H E E L E C T R O N – W O R K S H E E T Name:Arzu Hasanova Partners:Claire TA:Sang-Eon DATA & ANALYSIS Measuring the Radius of the Coil Diameter D x : .…12.4…………………… (unit: __inc___) Diameter D y : .……12.4……………… (unit: __inc___) D ave : ……12.4………………… (unit: __inc___) Radius of the coil : ……6.2.……………… (unit: __inc___) Part 1 - Measuring e/m (Constant Voltage) Accelerating Voltage V acc = ………200……. (unit: ___V__) Electron Orbit Radius r (in m) Coil Current I 0 (in A) Coil Current I 180 (in A) 0.055 1.05 0.95 0.050 1.18 1.08 0.045 1.29 1.21 0.040 1.45 1.38 0.035 1.65 1.57 0.030 1.86 1.83 Clean-up/sign-out (3): Data/Analysis (15/20): Graphs/Diagrams (20/10): Post Lab Q’s (20): Lab Report Total (88): Slope of B vs 1/r = _____4.24*10^-5 unit: T*m e/m from the slope = 2.22*10^11unit: Coulumbs/kg % error = 26.13% Calculations 2.22*10^11-1.76 × 10^11/1.76 × 10^11=26.13%
2 Part 2 - Measuring e/m (Constant Current) Coil Current ࠵? = ………1.3 (unit: _A_) Magnetic Field ࠵? = 0.0098 (unit: _Gauss____) Electron Orbit Radius r (m) Accelerating Voltage V 0 (in V) Accelerating Voltage V 180 (in V) 0.055 306 334 0.050 253 286 0.045 205 227 0.040 174 185 0.035 132 142 0.030 116 121 POST LAB QUESTIONS 1. Explain what you observed when you held the magnet close to the bulb. Did only the beam’s radius change, or did something else change, too? Why was the beam deflected in this way? The beam Calculations 2.2*10^11-1.76 × 1011/1.76 × 1011=25% Slope of ࠵? vs ࠵? ! = _______1.084*10^5___________ unit: V/m^2 e/m from the slope = ___2.2*10^11____________ unit: _C/kg____ % error = ________________25% Sketch the paths of the electron beam when you held the north & south ends of the magnet near the bulb. For each, show the position of the magnet relative to the beam and label the north & south poles. One of them is radius is increasing then magnetic field will be smaller and vice verse for other one. Also one is goes toward and one goes away
3 experienced a deflection, either in the direction of or away from the magnet. The magnet produces an independent magnetic field that alters the electron's route. One of them is the radius is increasing then the magnetic field will be smaller and vice versa. 2. How fast were the electrons traveling after leaving the electron gun? Assume an accelerating voltage of 252.877 V. To earn credit for this question, show your work with units and express your final answer as a percentage of the speed of light, ࠵? = 3 × 10 ! ࠵?/࠵? . KE=eV 1/2mv^2=eV v=sqrt(2eV)/m v=sqrt(2*1.6*10^-19*252.877)/ 9.1*10^-31=9.43*10^6 ࠵?/࠵? v=9.43*10^6 ࠵?/࠵? / 3 × "# ! $ % ∗ ࠵? ∗ 100 =3.14c% 3. Why do we rotate the apparatus 180 o and repeat the experiment? In order to account for the earth's magnetic field, we can take an average of the recorded values. 4. When traveling between the Earth and Mars, future astronauts will be exposed to radiation from cosmic rays, solar flares, etc. What might a team of savvy engineers use to protect humans from high- energy charged particles on their journey to the red planet? (this is an open-ended question – feel free to get creative… but remember to consider the mass limitations imposed by space travel). Because hydrogen slows down and absorbs high-energy charged particles, astronauts may carry hydrogen-rich materials like water. Also, Astronauts could relocate to less radioactive regions and minimize exposure if detectors were utilized to gauge the radiation level inside the spaceship.
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4 The spacecraft's magnetic shielding might be employed to deflect charged particles approaching it. Superconducting magnets could be used to make the shielding lightweight and affordable.