A negatively charged particle enters a region between two parallel plates Each p

Question

A negatively charged particle enters a region between two parallel plates Each plate (top and bottom) are oppositely charged, hence there exists a uniform electric field between the plates (along with a gravitational field). Assume the particle travels straight through the region completely un-deflected and exits. Determine and identify (below) the polarities of the plates and the resulting Electric Field direction inside the plated region needed so the particle travels through un-deflected: If the particle has a mass of 23.5 mg and a charge of - 8.4 mu C, determine the Electric Field Strength E needed inside the plated region so the particle travels through un-deflected (F_net = 0):

Explanation / Answer

a)

here,

negatively charged particle travels in a straight line,

the net force acting on the charge must be zero( un deflected)

hence,

upper plate charged +vely

and

lower plate charged -vly

b)

F=q*E

F=m*g

m*g=q*E

==>

(23.5*10^-3)*9.8=8.4*10^-6*E

==> electric field, E=27416.67 V/m

E=2.743*10^4 v/m

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