How Does Magnetic Field Influence the Path of a Doubly Charged Helium Atom?

AI Thread Summary
To determine the radius of curvature for a doubly charged helium atom in a magnetic field, first calculate the kinetic energy using the work done on the charge, W = q*ΔV. This allows you to derive the velocity (v) from the kinetic energy formula, ½mv². The correct formula for the radius of curvature is R = mv/qB, where m is the mass, q is the charge, and B is the magnetic field strength. The values provided include a mass of 6.68 x 10^-27 kg, a potential difference of 4.00 x 10^3 V, and a magnetic field of 0.450 T. Properly applying these equations will yield the desired radius of curvature.
superjen
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A doubly charged helium atom (mass = 6.68 x 10-27 kg) is accelerated through a potential difference of 4.00x 103 V. What will be the radius of curvature of the path of the atom if it is in a uniform 0.450 T magnetic field?


the equation i was using was
r = mV/|q|B

m = 6.68 x 10^-27
V = 4.00 x 10^3
B = 0.450T
q = 1.6 x 10^-19

I don't think this is right. any help pr tips?
Thanks :)
 
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superjen said:
A doubly charged helium atom (mass = 6.68 x 10-27 kg) is accelerated through a potential difference of 4.00x 103 V. What will be the radius of curvature of the path of the atom if it is in a uniform 0.450 T magnetic field?

the equation i was using was
r = mV/|q|B

m = 6.68 x 10^-27
V = 4.00 x 10^3
B = 0.450T
q = 1.6 x 10^-19

I don't think this is right. any help pr tips?
Thanks :)

First figure the kinetic energy, from the work done on the charge.

W = q*ΔV

From ½mv² you can derive a value for v .

Then you can use your second equation derived from

F = mv² /R = qv*B

R = mv/qB
 
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