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Transcribed Image Text:A thin, circular plate of radius B, uniform surface charge density o, and total charge Q, is centered on the origin and lies in the x-y plane. What is the electric flux ¢e through a sphere of radius r, also centered on the origin, as a function of r? Consider both (a.) r> B and (b.) r< B:
(a.) What is the electric flux through a sphere of radius r when r> B? Let Q = 17.7 pC = 17.7 x 1012 C andB = 7.00 cm. (Enter the answer numerically in the first box and symbolically in the second. Use the given symbols as necessary: Q, B, r and E for ɛ..) E, = 8.854 x 10-12 c2/(Nm?)
Nm2
2.00
E
(b.) What is the electric flux through a sphere of radius r when r< B?
To calculate this answer, which will be a function of r, begin by answering the following questions symbolically. Use the given symbols as necessary: Q, B, r and E for ɛ,.
physP:
Question to consider:
Operati
(i) What is the surface charge density, o?
Symbol
Relation
Sets
(ii) What is the charge enclosed, gin, by the sphere of radius r (when r< B), as a function of ? (Note that 2 is already included as part of the answer, below.)
Vectors
Trig
gin =
10
Greek
O Hele
The electric flux will be a function of r (when r < B): dE = kr2. What is the value of constant k, given Q = 17.7 pC and B = 7.00 cm?
O!
k =
Below is a graph of electric flux OF as a function of sphere radius r. What is the symbolic value of r at point P where the two sections meet?
Or = constant
P
DE = kr?
r = ?
r (at point P) =
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