Calculating Lorentz Force: Is the Formula the Answer?

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The Lorentz force can be calculated using the formula F = q(E + v x B), which accounts for both electric and magnetic forces. For a positive test charge, the electric force aligns with the direction of the electric field. The magnetic force is determined by the cross product of the charge's velocity and the magnetic field direction. This combination of forces defines the overall Lorentz force acting on the charge. Understanding these components is essential for experiments like measuring the electron charge to mass ratio.
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Can anybody help me that how to work out the direction of Lorentz Force? Should I work out from the formula? Thanks.
 
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See thumbnail photo of an electron beam (~ 300 volts) being bent into a circle (~ 1 cm diameter arc) by a magnetic field (Helmholz coil). This is an undergraduate physics lab experiment for measuring the electron charge to mass ratio.

Bob S
 

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The equation gives the directions.

\mathbf{F} = q \left( \mathbf{E} + \mathbf{v}\times\mathbf{B} \right)

For a positive test charge there is an electric force in the direction of the applied electric field. There is also a force in the direction of the curl of the charge's velocity and the applied magnetic field. Together these define the Lorentz force.
 
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