Exam 24: Gauss Law

A uniform electric field is directed along the positive y axis. A net flux of 5.00 $\times$ 10⁴ N.m²/C passes through a surface whose area is 400.0 cm² and is aligned along the x-z plane. The magnitude of the electric field is

Six equal charges, Q, are represented by circles and are arranged as illustrated here. The contributions to the net flux through the rectangle boundary include

An infinite, insulating slab of thickness d = 1 unit has a uniform volume charge density $\rho$ with x = 0 at the center of the slab. The graph of the electric field as a function of distance from the origin can be best represented by

A +10.0- $\mu$ C charge is placed on the surface of a metal shell whose radius is 5.0 cm. The electric field at the center of the shell is

A cubic box with sides of length a is located with its center at the origin. A constant electric field is in the + x direction. The side of the cube, which has a zero flux is

A uniform electric field is directed along the positive y axis. If the magnitude of the electric field is 5.00 $\times$ 10⁶ N/C, the electric flux through a 400.0-cm² surface aligned along the x-z plane is

The net electrical flux through a spherical Gaussian surface of radius 1.0 cm is 24 N.m²/C. If the radius of the surface is doubled to 2.0 cm, the electric flux will become

A solid sphere with a radius of one unit has a charge on its surface. The graph of the electric field as a function of the sphere's radius has the form of

A surface, whose area is 0.10 m² and normal, is given by $\left( \frac { 1 } { \sqrt { 2 } } i + \frac { 1 } { \sqrt { 2 } } j \right)$ ; it intersects with an electric field given by E= $1.4 \times 10 ^ { 6 } ( i + j + k )$ N/C. The electric flux through this surface is

An infinitely long cylinder with a radius of 1.0 cm has a charge density that is proportional to the distance from the axis of symmetry, $\rho$ = ar, where a = 10.0 C/m⁴. The electric field 1.0 cm from the surface of the cylinder is

A surface, whose area is 0.10 m² and normal, is given by $\left( \frac { 1 } { \sqrt { 3 } } i + \frac { 1 } { \sqrt { 3 } } j + \frac { 1 } { \sqrt { 3 } } k \right)$ ; it intersects an electric field given by E = $1.7 \times 10 ^ { 6 } ( i + j - k )$ N/C. The electric flux through this surface is

The unit-normal vector to the plane defined by the points (0, 1, 1), (1, 1, 0), and (1, 3, 1) is

A flat conducting surface with a charge density of 10.0 $\mu$ C/m² produces an electric field. The magnitude of the electric field 15 cm from the surface is

An infinitely long cylinder with a radius of 1.0 cm has a charge density that is proportional to the distance from the axis of symmetry, $\rho$ = ar, where a = 10.0 C/m⁴. The electric field 0.50 cm from the central axis of the cylinder is

The vector that is normal to the plane defined by the points (3, 0, 0), (0, 1, 0), and (0, 0, 4) is

The vector normal to the plane defined by the points (1, 0, 0), (0, 2, 0) and parallel to the z axis is

A net flux of 1.7 *10⁶ N.m²/C is produced by a set of point charges inside a cube whose side length is 0.10 m. The set of charges that can produce this flux is .

A flat conducting slab with a charge density of 10.0 $\mu$ C/m² produces an electric field. The magnitude of the electric field 15 cm from the surface is

An infinitely long wire with a radius of one unit has a charge on its surface. The graph of the electric field as a function of the radius has the form of

A uniform electric field is directed along the positive y axis. If the magnitude of the electric field is 5.00 $\times$ 10⁶ N/C, the electric flux through a 400.0 cm² surface aligned along the y-z plane is