Radius of Curvature Calculation: Difference between revisions

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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]Below are my calculations done for determining the radius of curvature of an electron/positron in the magnetic field for the pair spectrometer.The Lorentz force is the centripetal force acting upon the electron/positron in the magnetic field which gives the following equation.<math>  \frac{(m * v^2}{r} = q * v * B </math>This equation can be rearranged to solve for r (and given that mv = momentum) to give the following equation<math> r =  * v * B </math><math> cm^3 = \frac{grams CH_{2}}{cm^3} * \frac{mol}{gram} * {N[A]}</math>
[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
 
Below are my calculations done for determining the radius of curvature of an electron/positron in the magnetic field for the pair spectrometer.
 
The Lorentz force is the centripetal force acting upon the electron/positron in the magnetic field which gives the following equation.
 
<math>  \frac{(m * v^2}{r} = q * v * B </math>
 
This equation can be rearranged to solve for r (and given that mv = momentum) to give the following equation
 
<math> r =  * v * B </math>

Revision as of 08:26, 17 February 2009

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Below are my calculations done for determining the radius of curvature of an electron/positron in the magnetic field for the pair spectrometer.

The Lorentz force is the centripetal force acting upon the electron/positron in the magnetic field which gives the following equation.

[math]\displaystyle{   \frac{(m * v^2}{r} = q * v * B }[/math]

This equation can be rearranged to solve for r (and given that mv = momentum) to give the following equation

[math]\displaystyle{ r =  * v * B }[/math]