Im not understanding how to get the equation of velocity and direction if there

Question

Im not understanding how to get the equation of velocity and direction if there isn't numerical data. Can someone make sense of this for me?

b) Using expressions for the electric force and magnetic force in terms of the electric and magnetic fields, find an equation (no numbers!) for the velocity the particle would have to have in order for the forces on the particle are balanced. c) For a given value of E and B, a particle enters the velocity selector moving at the speed calculated in part (b). What kind of path does this particle take? d) If a particle is traveling at a faster speed than what you would calculate from the equation in part (b), will the forces on the particle be balanced? Explain. What kind of path will this fast-moving particle take?

Explanation / Answer

b) we set the magnetic force and electric force equal

Fb = Fe

q V B = qE

V = E/B                        (q cancel out )

c) when velocity with which the charged particle enters is equal to the ratio of E and B , the magnetic and electric force on the particle are equal and hence the particle passes undeflected in a straight line.

d)if V > E/B

then magnetic force on the particle is greater than electric force. forces will not be balanced. and the particle's path is curved

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