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 bottom) are oppositely charged, hence there exists 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 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: 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

We know that E field lines originate from the postitive charge and terminate on the negative charge.

For the given motion of electron, the upper plate should be positive and lower should be negative.

b)The gravitational force is balancing the electric force.

F = mg ; F = qE

mg = qE => E = mg/q

E = 23.5 x 10^-6 x 9.8/8.4 x 10^-6 = 27.42

Hence, E = 27.42 N/C

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