As shown in the figure, a square insulating slab 5.0 mm thick measuring 2.0 m x 2.0 m has a charge of 8.0 × 10-11 C distributed uniformly throughout its volume. Use Gauss's law to determine the electric field at point P, which is located within the slab beneath its center, 1.0 mm from one of the faces. (0 = 8.85 × 10-12 C2/N • m2)

Two identical thin rods of length L are each charged with a positive charge q that is uniformly distributed on each rod. The rods are arranged parallel to each other along the x direction and are separated by a distance 2d, as shown in the figure below. Determine the electric field at point P, which is located a distance d from the right endpoint of each rod. Hint: You will eventually need the following integral: น 1 S (a²+u²)3/2 du = − + C √a²+u²

A very large (can be considered infinite) plastic sheet is uniformly charged. The charge in 1.00 m2 area of the sheet is Incasured to be 4.71 E-6 C. What is the electric field magnitude at a point 2.14B-2 m away from the sheet (answer a positive number in N/C)? Physics constants: Number = = 3.14 Coulomb constant k = 1/(476) = 8.99E9 N•m/C2 Permittivity of vacuum &g = 8.85B-12

A spherical conductor of radius 4.07 mm carries a total charge of 6.23 nC. What is the magnitude of the electric field at a distance of 7.09 mm from the center of the sphere? (k = 1/(4л) = 8.99 × 10⁹ N-m²/C²)

A small object of mass 3.54 g and charge −19.3 ?C is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric field? magnitude   direction