- #1
Physics Enemy
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Basically the question is about a penning ion trap. You need to use the equation for the Lorentz Force, which I have. It says the trap electrodes have a potential:
V(x,y,z) = A(2z^2 - x^2 - y^2); There's a superimposed uniform B-Field B = B(z hat)
It then asks you to write down an expression for the z-component of the total electromagnetic force on a particle of charge q, explaining why it doesn't depend on B. I did that. It then says write down the equation of motion. I did that.
It then asks you to do the same thing with the x and y components i.e.) Find the x and y components of the total force, write down the equations of motion, etc.
But the solution shows a y dot in the equation of motion in the x-direction:
x double dot = q/m[2Ax + B(y dot)]
Where did this y dot come into it? Any ideas? I thought a V term is next to B?
Thanks guys, muchly appreciated.
V(x,y,z) = A(2z^2 - x^2 - y^2); There's a superimposed uniform B-Field B = B(z hat)
It then asks you to write down an expression for the z-component of the total electromagnetic force on a particle of charge q, explaining why it doesn't depend on B. I did that. It then says write down the equation of motion. I did that.
It then asks you to do the same thing with the x and y components i.e.) Find the x and y components of the total force, write down the equations of motion, etc.
But the solution shows a y dot in the equation of motion in the x-direction:
x double dot = q/m[2Ax + B(y dot)]
Where did this y dot come into it? Any ideas? I thought a V term is next to B?
Thanks guys, muchly appreciated.