Exam 24: Gausss Law

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A nonuniform electric field is directed along the x-axis at all points in space.This magnitude of the field varies with x,but not with respect to y or z.The axis of a cylindrical surface,0.80 m long and 0.20 m in diameter,is aligned parallel to the x-axis,as shown in the figure.The electric fields E1 and E2,at the ends of the cylindrical surface,have magnitudes of 9000 N/C and 5000 N/C respectively,and are directed as shown.(ε0 = 8.85 × 10-12 C2/N • m2)The charge enclosed by the cylindrical surface is closest to A nonuniform electric field is directed along the x-axis at all points in space.This magnitude of the field varies with x,but not with respect to y or z.The axis of a cylindrical surface,0.80 m long and 0.20 m in diameter,is aligned parallel to the x-axis,as shown in the figure.The electric fields E<sub>1</sub> and E<sub>2</sub>,at the ends of the cylindrical surface,have magnitudes of 9000 N/C and 5000 N/C respectively,and are directed as shown.(ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>)The charge enclosed by the cylindrical surface is closest to

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Two extremely large nonconducting horizontal sheets each carry uniform charge density on the surfaces facing each other.The upper sheet carries +5.00 µC/m2.The electric field midway between the sheets is 4.25 × 105 N/C pointing downward.What is the surface charge density on the lower sheet? (ε0 = 8.85 × 10-12 C2/N • m2)

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Two long straight parallel lines,#1 and #2,carry uniform positive linear charge densities.The charge density on line #2 is twice as great as the charge density on line #1.The locus of points where the electric field due to these lines is zero is

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A hollow conducting spherical shell has radii of 0.80 m and 1.20 m,as shown in the figure.The sphere carries a net excess charge of -500 nC.A point charge of +300 nC is present at the center. (k = 1/4πε0 = 8.99 × 109 N • m2/C)The radial component of the electric field at a point that is 0.60 m from the center is closest to A hollow conducting spherical shell has radii of 0.80 m and 1.20 m,as shown in the figure.The sphere carries a net excess charge of -500 nC.A point charge of +300 nC is present at the center. (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N • m<sup>2</sup>/C)The radial component of the electric field at a point that is 0.60 m from the center is closest to

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A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm2 on its surfaces.What is the electric field strength 3.00 mm outside the surface of the conductor? (ε0 = 8.85 × 10-12 C2/N • m2)

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The cross section of a long coaxial cable is shown in the figure,with radii as given.The linear charge density on the inner conductor is -30 nC/m and the linear charge density on the outer conductor is -70 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A,B,C,and D,as shown.(ε0 = 8.85 × 10-12 C2/N • m2) The radial component of the electric field at a point that 34 mm from the axis is closest to The cross section of a long coaxial cable is shown in the figure,with radii as given.The linear charge density on the inner conductor is -30 nC/m and the linear charge density on the outer conductor is -70 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A,B,C,and D,as shown.(ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) The radial component of the electric field at a point that 34 mm from the axis is closest to

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