A square plate of edge length 9.0 cm and negligible thickness has a total charge of 6.90 10-6 C. Estimate the magnitude E of the electric field just off the center of the plate (at, say, a distance of 0.50 mm from the center) by assuming that the charge is spread uniformly over the two faces of the plate.

Question

Physics

Honey Pie

20 June, 08:18

A square plate of edge length 9.0 cm and negligible thickness has a total charge of 6.90 10-6 C. Estimate the magnitude E of the electric field just off the center of the plate (at, say, a distance of 0.50 mm from the center) by assuming that the charge is spread uniformly over the two faces of the plate.

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Answers (1)

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Edward Rubio · Answer 1

E = 4.35*10^6 N/C

Explanation:

Let's find the area charge density of the plate

α = 6.9*10^-6/9*10^-2 = 7.7*10^-5C/m2

Now we can calculate the electric field just of the plate

E = α/2e = 7.7*10^-5/2*8.85*10^-12 = 4.35*10^6 N/C