Exam 24: Gausss Law

A 4.0-pC point charge is placed at the center of a hollow (inner radius = 2.0 cm,outer radius = 4.0 cm)conducting sphere which has a net charge of 4.0 pC.Determine the magnitude of the electric field at a point which is 6.0 cm from the point charge.

A spaceship encounters a single plane of charged particles,with the charge per unit area equal to σ.The electric field a short distance above the plane has magnitude ____ and is directed ____ to the plane.

You are told that Summed over both the surface areas of sphere A and sphere B below totals to )You can conclude that

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 2.0 cm from the center of the two surfaces?

A spherical conductor (radius = 1.0 cm)with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm,outer radius = 4.0 cm)which has a total charge of −3.0 pC.What is the magnitude of the electric field 2.0 cm from the center of these conductors?

Charge of uniform density (20 nC/m²)is distributed over a cylindrical surface (radius = 1.0 cm),and a second coaxial surface (radius = 3.0 cm)carries a uniform charge density of −12 nC/m².Determine the magnitude of the electric field at a point 2.0 cm from the symmetry axis of the two surfaces.

Gino says that the analog of Gauss's law for the flow of an incompressible fluid of density ρ at constant velocity Is For an imaginary surface within the fluid.Lorenzo says that it is true only if the area where the fluid enters the surface and the area where it leaves the surface are both perpendicular to the velocity of the fluid.Which one,if either,is correct?

A point charge of 6.0 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0 cm,outer radius = 2.0 cm)which has a net charge of −4.0 nC.Determine the resulting charge density on the inner surface of the conducting sphere.

A constant electric field Is present throughout a region of space that includes the plane bounded by the x and y axes and the lines x = 30 cm and y = 50 cm.The electric flux through the plane's surface,in N ⋅ m²/C,is

The electric field in the region of space shown is given by N/C where y is in m.What is the magnitude of the electric flux through the top face of the cube shown?

The total electric flux through a closed cylindrical (length = 1.2 m,diameter = 0.20 m)surface is equal to −5.0 N ⋅ m²/C.Determine the net charge within the cylinder.

Three infinite planes of charge,A,B and C,are vertical and parallel to one another.There is a uniform electric field To the left of plane A and a uniform electric field To the right of plane C.The field Points to the left and the field Points to the right.The signs of the charges on plates A,B and C may be

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis.Consider a spherical (radius = 5.0 cm)surface centered on the origin.Determine the electric flux through this surface.

A charge of uniform volume density (40 nC/m³)fills a cube with 8.0-cm edges.What is the total electric flux through the surface of this cube?

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 2.0 mm from the symmetry axis.

The electric field just outside the surface of a hollow conducting sphere of radius 20 cm has a magnitude of 500 N/C and is directed outward.An unknown charge Q is introduced into the center of the sphere and it is noted that the electric field is still directed outward but has decreased to 100 N/C.What is the magnitude of the charge Q?

The nucleus of a hydrogen atom,a proton,sets up an electric field.The distance between the proton and electron is about 5.1 × 10−¹¹ m.What is the magnitude of the electric field at this distance from the proton? [The charge on the proton is +1.6 × 10−¹⁹ C.]

A point charge (5.0 pC)is located at the center of a spherical surface (radius = 2.0 cm),and a charge of 3.0 pC is spread uniformly upon this surface.Determine the magnitude of the electric field 1.0 cm from the point charge.

When a cube is inscribed in a sphere of radius r,the length L of a side of the cube is )If a positive point charge Q is placed at the center of the spherical surface,the ratio of the electric flux Φ_sphere at the spherical surface to the flux Φ_cube at the surface of the cube is

A uniform charge density of 500 nC/m³ is distributed throughout a spherical volume (radius = 16 cm).Consider a cubical (4.0 cm along the edge)surface completely inside the sphere.Determine the electric flux through this surface.