Exam 24: Gausss Law

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Charge of a uniform density (8.0 nC/m2)is distributed over the entire xy plane.A charge of uniform density (5.0 nC/m2)is distributed over the parallel plane defined by z = 2.0 m.Determine the magnitude of the electric field for any point with z = 1.0 m.

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Two infinite,uniformly charged,flat surfaces are mutually perpendicular.One of the sheets has a charge density of +60 pC/m2,and the other carries a charge density of −80 pC/m2.What is the magnitude of the electric field at any point not on either surface?

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The field just outside the surface of a long conducting cylinder which has a 2.0-cm radius points radially outward and has a magnitude of 200 N/C.What is the charge density on the surface of the cylinder?

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A charge of 0.80 nC is placed at the center of a cube that measures 4.0 m along each edge.What is the electric flux through one face of the cube?

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Charge of uniform density (40 pC/m2)is distributed on a spherical surface (radius = 1.0 cm),and a second concentric spherical surface (radius = 3.0 cm)carries a uniform charge density of 60 pC/m2.What is the magnitude of the electric field at a point 4.0 cm from the center of the two surfaces?

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The nucleus of lead-208, The nucleus of lead-208,    ,has 82 protons within a sphere of radius 6.34 × 10−<sup>15</sup>.Each electric charge has a value of 1.60 × 10−<sup>19</sup> C.Assuming that the protons create a spherically symmetric distribution of charge,calculate the electric field at the surface of the nucleus. ,has 82 protons within a sphere of radius 6.34 × 10−15.Each electric charge has a value of 1.60 × 10−19 C.Assuming that the protons create a spherically symmetric distribution of charge,calculate the electric field at the surface of the nucleus.

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If we define the gravitational field If we define the gravitational field   ,where   Is a unit radial vector,then Gauss's Law for gravity is ,where If we define the gravitational field   ,where   Is a unit radial vector,then Gauss's Law for gravity is Is a unit radial vector,then Gauss's Law for gravity is

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At the point of fission,a nucleus of U-238,with 92 protons is divided into two smaller spheres each with 46 protons and a radius of 5.9 × 10−15 m.What is the repulsive force pushing the two spheres apart when they are just touching one another? (The mass of the U-238 nucleus is 3.98 × 10−25 kg. )

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A solid nonconducting sphere (radius = 12 cm)has a charge of uniform density (30 nC/m3)distributed throughout its volume.Determine the magnitude of the electric field 15 cm from the center of the sphere.

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Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m,respectively.If q = −40 pC and Q = +30 pC,determine the net flux through a spherical surface (radius = 1.0 m)centered on the origin.

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An astronaut is in an all-metal chamber outside the space station when a solar storm results in the deposit of a large positive charge on the station.Which statement is correct?

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An uncharged metal sphere is placed on an insulating puck on a frictionless table.While being held parallel to the table,a rod with a charge q is brought close to the sphere,but does not touch it.As the rod is brought in,the sphere

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Charge of uniform density (80 nC/m3)is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm.Determine the magnitude of the electric field at a point which is 4.0 mm from the symmetry axis.

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A long nonconducting cylinder (radius = 12 cm)has a charge of uniform density (5.0 nC/m3)distributed throughout its volume.Determine the magnitude of the electric field 15 cm from the axis of the cylinder.

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Which one of the following is not an expression for electric charge?

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A student has made the statement that the electric flux through one half of a Gaussian surface is always equal and opposite to the flux through the other half of the Gaussian surface.This is

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The electric flux through the two adjacent spherical surfaces shown below is known to be the same. The electric flux through the two adjacent spherical surfaces shown below is known to be the same.   It is also known that there is no charge inside either spherical surface.We can conclude that It is also known that there is no charge inside either spherical surface.We can conclude that

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A long nonconducting cylinder (radius = 12 cm)has a charge of uniform density (5.0 nC/m3)distributed throughout its column.Determine the magnitude of the electric field 5.0 cm from the axis of the cylinder.

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An uncharged spherical conducting shell surrounds a charge −q at the center of the shell.Then charge +3q is placed on the outside of the shell.When static equilibrium is reached,the charges on the inner and outer surfaces of the shell are respectively

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Two concentric imaginary spherical surfaces of radius R and 2R respectively surround a positive point charge −Q located at the center of the surfaces.When compared to the electric flux Φ1 through the surface of radius R,the electric flux Φ2 through the surface of radius 2R is

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