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4. A negatively charged particle enters a region between two parallel plates. Ea

ID: 1394921 • Letter: 4

Question

4. 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 gravitation field). Assume the particle travels straight through the region completely un-deflected and exits. a) 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: b) If the particle has a mass of 28.5 mg and a charge of -7.6 mu C, determine the Electric Field Strength E needed inside the plated region so the particle travels through un-deflected (Fnet = 0):

Explanation / Answer

a)

here , as there in no deflection ,

the electric force must be in upwards direction to counter the gravity.

as the charge is negative ,

electic field is in downwards direction.

upper plate is positve and lower is negative

b)

Now,

q *E = m*g

7.6 *10^-6 * E = 28.5 *10^-6 * 9.8

E = 36.8 N/C

the eletcic field strength is 36.8 N/C

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