Velocity Selector Homework: Determine Proton Speed for No Deflection

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To determine the proton speed for no deflection in the presence of electric and magnetic fields, the forces acting on the proton must be balanced. The electric field strength is 1.30×10^5 V/m, while the magnetic field strength is 2.30 T. The magnetic force, given by F = qv x B, must equal the electric force to achieve constant velocity. The required speed can be calculated by equating the magnitudes of these forces. Understanding the relationship between electric and magnetic forces is crucial for solving this problem.
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Homework Statement



A proton enters a space in which there are both electric and magnetic fields. The electric field points vertically upward and the strength is 1.30×105 V/m. The magnetic field points horizontally to the right and the strength is 2.30 T.

The proton enters with a velocity vector that is perpendicular to both the electric and magnetic fields, and the magnetic force is opposite to the electric force.

Determine the proton speed such that the proton will pass through the space with no deflection, i.e., with a constant velocity vector.

Homework Equations



I am not sure what equation to use.

The Attempt at a Solution



Can someone please help? I'm not sure where to begin.
 
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Ryo124 said:

Homework Statement



A proton enters a space in which there are both electric and magnetic fields. The electric field points vertically upward and the strength is 1.30×105 V/m. The magnetic field points horizontally to the right and the strength is 2.30 T.

The proton enters with a velocity vector that is perpendicular to both the electric and magnetic fields, and the magnetic force is opposite to the electric force.

Determine the proton speed such that the proton will pass through the space with no deflection, i.e., with a constant velocity vector.

Homework Equations



I am not sure what equation to use.

The Attempt at a Solution



Can someone please help? I'm not sure where to begin.

F = qv x B

You will need to offset the electric force with the force created by qv x B.
 
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