Magnetism and Magnetic Fields- Determining mass of ion

AI Thread Summary
The discussion revolves around calculating the mass of an ion based on its charge, voltage, magnetic field, and displacement. The derived formula for mass is m = q(B^2)(x^2)/(8ΔV). Participants clarify the relationship between force, acceleration, and magnetic effects, using equations like F = ma and energy conservation principles. There is a question about the meaning of "B^→," indicating a need for clarity on vector notation in magnetic fields. The conversation emphasizes the importance of understanding these concepts for solving the problem effectively.
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Homework Statement



An ion of mass m and charge q is accelerated from rest through a voltage of ΔV. It then enters a magnetic field. Determine the mass of the ion in terms of the measurable quantities: q, ΔV, (B^→) , and x.

Homework Equations





The Attempt at a Solution


m = q(B^2)(x^2)/(8ΔV)
this is where i am:

F=ma
F - qV x B
ma =qVB

Ui+Ki=Uf+Kf
Ui=Uf+Kf
Ui-Uf=1/2mv^2
ΔU= 1/2mv^2
ΔVq= 1/2 mv^2
 
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what is x?
what does "B^→" mean?
 

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