MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C91410.FCC6A980" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C91410.FCC6A980 Content-Location: file:///C:/61525D8F/eovermratio.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" PHYS 3650L - Modern Physics Laboratory

PHYS 3650L= - Modern Physics Laboratory

Laboratory Advanced Sheet
e/m ratio

1. Objectives. The objective of= this laboratory is to measure the charg= e to mass ratio of an electron.

2. Theory.

a. As a charged particle enters the ma= gnetic field directed perpendicularly to the velocity of the particle, it starts to rotate with a radius of orbit  

<= span style=3D'font-family:Arial'>(1)

where

m is the mass of the particle,
V is the speed of the particle,
q is the magnitude of the particle's charge, and

B is the strength of the magnetic field.<= /p>

b. For an electron, the equation (1) b= ecomes

<= span style=3D'font-family:Arial'>(2)

where

e is the magnitude of the charge of an electron.=

c. The magnetic field produced near th= e axis of a pair of Helmholtz coils is given by the equation:

<= span style=3D'font-family:Arial'>(3)

where

N is the number of turn= s on each Helmholtz coil (130),

m0 is the permiability of free space, and
a is the radius of the Helmholtz coils (1= 5.0 cm).

d. After the electrons are accelerated through the accelerating potential difference, DV, gaining kinetic energy, their speed become:

<= span style=3D'font-family:Arial'>(4)

Combining equations (2), (3), and (4) produces the final formula for e/m ratio:

<= span style=3D'font-family:Arial'>(5)

 =

3. Apparatus and experimental proce= dures.

a. Equipment.

1) e/m apparatus.

2) Power supplies (3).

3) Multimeters (2).

b. Experimental setup. To be provided = by the student.

c. Capabilities. To be provided by the student.

d. Procedures. Detailed instructions a= re provided in paragraph 4 below.

4. Requirements.

a. In the laboratory.

1) Your instructor will introduce you = to the equipment to be used in the experiment.

2) Measure the current to the Helmholtz coils and accelerating voltage.

3) Measure the radii of the electron b= eam on the right and on the left side of the orbit.

4) Repeat steps 2 and 3 for two more v= alues of the current in Helmholtz coils.

b. After the laboratory. The items listed below = will be turned in at the beginning of the next laboratory period. A complete laboratory report is not required for this experiment.

Para= 3. Apparatus and experimental procedures.

1) Provide a figure of the experimental apparatus (para 3b).

2) Provide descriptions of the capabil= ities of equipment used in the experiment (para 3c).<= /span>

Para 4. Data. Data tables are included at Annex A for recording measurements tak= en in the laboratory. A copy of these tables must be included with the lab rep= ort. Provide the items listed below in your report in the form a Microsoft ExcelTM spreadsheet showing dat= a, calculations and graphs. The spreadsheet will include:

1) A table including measured value of= the current to the Helmholtz coils, measured value of the accelerating voltage,= and measured value of the orbital radii for each of the tree trials.

2) Calculation of the mean radius of t= he orbit for each trial.

3) Calculation of the value of e/m rat= io for each trial.

4) Calculation of the mean value of e/m ratio.

5) Calculation of the percent discrepa= ncy in the e/m ratio. Your instructor will provide the actual value.

= Para 5. Results and Conclusions.

a. Results.

1) A statement of the measured value f= or the e/m ratio.

2) A statement of the percent discrepancy in the e/m ratio.

b. Conclusions.

1) Assess the accuracy of your experiment. 

2) Describe the sources of random and systematic error in the experiment.

Annex A
Data

Trial

I (A)

 DV (V)

rr (m)

rl (m)

1

 

 

 

 

2

 

 

 

 

3

 

 

 

 
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