Question

Two large, parallel, metal plates are charged so as to create a uniform electric field between them. The plates are squares and each edge is 1.0 meter long. One plate is given a net electrical charge of +0.17708 nano-Coulomb and it is located to the left of the center of the space between the plates. The other plate is charged oppositely to -0.17708 nano-Coulomb and it is located to the right of center. The plates are separated by some distance but this distance does not diminish the magnitude of the electric field between the plates. The radius of the sphere is 0.17841 meter. Calculate the electric flux that passes into the sphere through its left, curved, half-surface. Enter a number to three significant figures (#.##) in NC-1m2.

Two large, parallel, metal plates are charged so as to create a uniform electric field between them. The plates are squares and each edge is 1.0 meter long. One plate is given a net electrical charge of +0.17708 nano-Coulomb and it is located to the left of the center of the space between the plates. The other plate is charged oppositely to -0.17708 nano-Coulomb and it is located to the right of center. The plates are separated by some distance but this distance does not diminish the magnitude of the electric field between the plates. Imagine a small, sphere between the plates at the center of the space between them. The sphere can be imaginary. If you want something more concrete, think of it as a hollow ball made from rigid, nylon mesh (like window screening). The field easily passes through the surface of the sphere. The radius of the sphere is 0.17841 meter. Calculate the electric flux that passes into the sphere through its left, curved, half surface. Enter a number to three significant figures (###) in NC-

Answer 1

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Electric field between plates E = sigma/E_0 - Q/A E_0 = 0.17708 times 10^- 9/(1 times 1) times 8.85 times 10^- 12 = 20.009 n/c Phi = E^rightarrow ds^rightarrow = 20.009 times (pi R^2) = 20.009 times pi times (0.17841)^2 = 2.0085 N m^2/c = 2.00 N m^2/c