A thin, circular plate of radius B, uniform surface charge density ?, and total charge Q, is centered on the origin and lies in the x-y plane. What is the electric flux ΦE through a sphere of radius r, also centered on the origin, as a function of r? Consider (b.) r < B: (i) What is the surface charge density, ?? (ii) What is the charge enclosed, qin, by the sphere of radius r (when r < B), as a function of r? (Note that r2 is already included as part of the answer, below.) The electric flux will be a function of r (when r < B): ΦE = kr2. What is the value of constant k, given Q = 18.9 pC and B = 7.00 cm?

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A thin, circular plate of radius B, uniform surface charge density ?, and total charge Q, is centered on the origin and lies in the x-y plane. What is the electric flux ΦE through a sphere of radius r, also centered on the origin, as a function of r? Consider (b.) r < B:

(i) What is the surface charge density, ??

(ii) What is the charge enclosed, qin, by the sphere of radius r (when r < B), as a function of r? (Note that r2 is already included as part of the answer, below.)

The electric flux will be a function of r (when r < B): ΦE = kr2. What is the value of constant k, given Q = 18.9 pC and B = 7.00 cm?

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