Exam 2: The Electric Field II: Continuous Charge Distributions

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   A thin conducting plane with surface charge density  \sigma is exposed to an external electric E<sub>ext</sub>. The difference in the electric field between one surface of the plane to the other surface is A thin conducting plane with surface charge density σ\sigma is exposed to an external electric Eext. The difference in the electric field between one surface of the plane to the other surface is

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Electrical conductors contain

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   A rod of infinite length has a charge per unit length of  \lambda  (= q/l). Gauss's law makes it easy to determine that the electric field strength at a perpendicular distance r from the rod is, in terms of k = (4 \pi\isin <sub>0</sub>)<sup>-1</sup>, A rod of infinite length has a charge per unit length of λ\lambda (= q/l). Gauss's law makes it easy to determine that the electric field strength at a perpendicular distance r from the rod is, in terms of k = (4 π\pi\isin 0)-1,

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Use the following figure to answer the next problems:  Use the following figure to answer the next problems:   -A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a charge +Q and the hollow sphere a charge of -Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4  \pi\isin <sub>0</sub>)<sup>-1</sup>? -A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a charge +Q and the hollow sphere a charge of -Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4 π\pi\isin 0)-1?

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   An infinite plane of surface charge density  \Sigma  = +8.00 nC/m<sup>2</sup> lies in the yz plane at the origin, and a second infinite plane of surface charge density   \Sigma  = -8.00 nC/m<sup>2</sup> lies in a plane parallel to the yz plane at x = 4.00 m. The electric field at x = 5.00 m is approximately An infinite plane of surface charge density Σ\Sigma = +8.00 nC/m2 lies in the yz plane at the origin, and a second infinite plane of surface charge density Σ\Sigma = -8.00 nC/m2 lies in a plane parallel to the yz plane at x = 4.00 m. The electric field at x = 5.00 m is approximately

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A sphere of radius 8.0 cm carries a uniform volume charge density ρ\rho = 500 nC/m3. What is the electric field at r = 20 cm?

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The electric field at the surface of a conductor

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A disk of radius 10 cm carries a uniform surface charge density of 6.0 µC/m2. The electric field on the axis of the disk at a distance of 5.0 m is approximately

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A disk of radius 10 cm carries a uniform surface charge density of 6.0 µC/m2. The electric field on the axis of the disk at a distance of 0.10 cm is approximately

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A disk of radius 10 cm carries a uniform surface charge density of 6.0 µC/m2. The electric field on the axis of the disk at a distance of 10 cm is approximately

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A spherical shell of radius 9.0 cm carries a uniform surface charge density Σ\Sigma = 9.0 nC/m2. The electric field at r = 9.1 cm is approximately

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A non-conducting pipe has a uniform charge density of 50 C/m3. The inner radius of the pipe is 25 cm, while the outer radius is 35 cm. Calculate the magnitude of the electric field at r = 30 cm.

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A uniform line charge of linear charge density λ\lambda = 5.00 nC/m extends from x = 0 to X = 10 m. The magnitude of the electric field at x = 12 m is

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Which of the following circumstances about Gauss's law is true?

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The electric field for a spherical shell of charge is discontinuous by the amount _____ at a point where there is a surface charge density σ\sigma .

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  The figure shows a surface enclosing the charges 2q and -q. The net flux through the surface surrounding the two charges is The figure shows a surface enclosing the charges 2q and -q. The net flux through the surface surrounding the two charges is

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A horizontal surface of area 0.321 m2 has an electric flux of 123 N.m2/C passing through it at an angle of 25° to the horizontal. If the flux is due to a uniform electric field, calculate the magnitude of the latter.

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An infinite plane lies in the yz-plane and it has a uniform surface charge density. The electric field at a distance x from the plane

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A uniform line charge of linear charge density λ\lambda = 5.00 nC/m extends from x = 0 to x = 10 m. The magnitude of the electric field at the point y = 12 m on the perpendicular bisector of the finite line of charge is

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The surface charge density for r = rb1 is

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