A positively charged particle enters a region between two parallel plates. Each

Question

A positively 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. a) Determine and identify by sketching the polarities of the plates and the resulting Electric Field direction inside the plated region needed so the particle travels through un-deflected: b) If the particle has a mass of 23.5 mg and a charge of - 8.4 mu C, determine the Electric Field E needed inside the plated region so the particle travels through un-deflected (F_net = 0):

Explanation / Answer

(b) The electric field inside the plated region which will be given as :

we know that, F = q E

m g = q E

E = m g / q

where, q = charge on particle = - 8.4 x 10-6 C

g = acceleration due to gravity = 9.8 m/s2

m = mass of particle = 23.5 x 10-6 kg

then, we get

E = (23.5 x 10-6 kg) (9.8 m/s2) / (-8.4 x 10-6 C)

E = - 27.4 N/C

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