Radius of Curvature Calculation: Difference between revisions
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The Lorentz force is the centripetal force acting upon the electron/positron in the magnetic field which gives the following equation. | 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> | <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 | 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> r = * v * B </math> | ||
Revision as of 08:27, 17 February 2009
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]