A particle of charge \"q\" and mass \"m\" moving up the page with velocity \"v\"

Question

A particle of charge "q" and mass "m" moving up the page with velocity "v" enters a region with a uniform electric field "E" pointing to the right and a uniform magnetic field "B" directed into the page.

A) Write (symbolically) the force "Fe" on the charge due to the electric field.

B) In what direction does "Fe" point for positive "q"?

C) Write (symbolically) the force "Fb" on the charge due to the magnetic field.

D) In what direction does "Fb" point for positive "q"?

E) Determine (symbolically) the velocity "v" for which these two forces balance and the charge experiences zero net force (ignore gravity).

Explanation / Answer

A. electrical forc e Fe = elevctric field E * charge q    ie Fe = Eq

2. along the direction of field i.e to the right

3. magnetic force Fb = q(v x B)    or Fb = qvB sin theta

4. perpendicular to magnetic field, downwards

5. gravtatitionaql force Fg = magnetic force Fb

mg = qvB

velocity V = mg/qB

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