Figure shows three pairs of parallel plates with the same separation, and the el

Question

Figure shows three pairs of parallel plates with the same separation, and the electric potential of each plate. The electric field between each pair of plates is uniform and perpendicular to the plates. a) Rank the pairs according to the magnitude of the electric field between the plates E_4 = E_2 > E_3 E_1 > E_3 > E_3 E_1 > E_2 = E_3 E_1 > E_2 > E_3 E_1 = E_2 = E_3 b) For which pairs of plates does the electric field point toward the right: 1 only 2 only 3 only 1 and 2 1 and 3 all plates

Explanation / Answer

a)

d = distance between the plates

E1 = potential difference/d = (230 - (-30))/d = 260/d

E2 = potential difference/d = (- 300 - (-100))/d = - 200/d

E3 = potential difference/d = (160 - (-40))/d = 200/d

hence

E1 > E2 = E3

b)

electric field travels from high potential to low potential

for 1 , electric field is from left to right since (-30 V) left potential is lower to (+230 V) right potential

for 2 , electric field is from right to left since (-100 V) left potential is greater to (- 300 V) right potential

for 3 , electric field is from left to right since (-40 V) left potential is smaller to (+160 V) right potential

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