You have two parallel infite planes, spaced 1m apart. One has a charge per unit

Question

You have two parallel infite planes, spaced 1m apart. One has a charge per unit area of -400nC/m^2 , the other has a charge per unit area of +200nC/m^2.

a)What is the electric field half way between the two planes? And 2m above the positive plane?

b)What is the total charge of a circular section of both planes with a radius of 0.3m?

c)You make a cylindrical Gaussian surface whose flat top and bottom are parallel with your planes and has a radius of 0.3m and a length of 2m. You place the center of your cylinder at the midpoint between the two planes. What is the total flux through the surface?

Explanation / Answer

a) from each E = sigma/(2 e0)

so E total = (400.0E-9-200.0E-9)/(2*8.85E-12)= 1.13E4 N/C

will be constant throughout so answer for both is 1.13E4 N/C

b) Q = sigma A = (-400+200)*pi*0.3^2= -56.5 nC

c)netflux = qenc/e0 = -56.6E-9/8.85E-12= -6395

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