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 De through a sphere of radius r, also centered on the origin, as a function of r? Consider both (a.) r> Band (b.) r < B: (a.) What is the electric flux through a sphere of radius r when r > B? Let Q = 18.8 PC 18.8 x 10-12 C and B = 7.00 cm. (Enter the answer numerically in the first box and symbolically in the second. Use the given symbols as necessary: Q, B, rand (Greek) for .) = 8.854 x 10-12 C²/(m²) DE = Nm²= (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 (Greek) & for E- Question to consider: (i) What is the surface charge density, o? (ii) What is the charge enclosed, qin by the sphere of radius r (when r < B), as a function of r? (Note that is already included as part of the answer, below.) The electric flux will be a function of r (when r

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Chapter6: Gauss's Law
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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 both (a.) r > B and (b.) r < B:

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 Ethrough 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 = 18.8 PC = 18.8 x 10-12 C and B = 7.00 cm. (Enter the answer numerically in the first box and symbolically in the second. Use the given symbols as necessary: Q, B,
rand (Greek) & for E.) = 8.854 x 10-12 c²/(m²)
DE =
(b.) What is the electric flux through a sphere of radius r when r < B?
Nm²
C
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 (Greek) & for E.
Question to consider:
(i) What is the surface charge density, o?
=
ΦΕ
gin=
(ii) What is the charge enclosed, ain by the sphere of radius r (when r < B), as a function of r? (Note that is already included as part of the answer, below.)
The electric flux will be a function of r (when r < B): E = kr². What is the value of constant k, given Q = 18.8 PC and B = 7.00 cm?
k=
r (at point P) =
Below is a graph of electric flux E as a function of sphere radius r. What is the symbolic value of r at point P where the two sections meet?
P
E
E = kr²
r = ?
= constant
Transcribed Image Text: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 Ethrough 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 = 18.8 PC = 18.8 x 10-12 C and B = 7.00 cm. (Enter the answer numerically in the first box and symbolically in the second. Use the given symbols as necessary: Q, B, rand (Greek) & for E.) = 8.854 x 10-12 c²/(m²) DE = (b.) What is the electric flux through a sphere of radius r when r < B? Nm² C 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 (Greek) & for E. Question to consider: (i) What is the surface charge density, o? = ΦΕ gin= (ii) What is the charge enclosed, ain by the sphere of radius r (when r < B), as a function of r? (Note that is already included as part of the answer, below.) The electric flux will be a function of r (when r < B): E = kr². What is the value of constant k, given Q = 18.8 PC and B = 7.00 cm? k= r (at point P) = Below is a graph of electric flux E as a function of sphere radius r. What is the symbolic value of r at point P where the two sections meet? P E E = kr² r = ? = constant
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ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax