Calculate the magnitude of the flux of a constant electric field of 5.00 N/C in the z-direction through a rectangle with area 4.00 m2 in the xy-plane

This question involves Gauss's Law

The flux through a closed surface is Φ = (-9.00x10^3) N.m2/C.  Calculate the charge in Coulombs enclosed by the surface.

A thin, square, conducting plate 49.0 cm on a side lies in the xy plane. A total charge of 3.70 x 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m² (b) Find the electric field just above the plate. magnitude N/C direction -Select--- ✓ (c) Find the electric field just below the plate. magnitude N/C direction -Select--- ✓

Consider a very large, flat plate with surface charge density 3.46 nC/m2. Give the magnitude of the electric field (in N/C) a distance 7.54 m from the plate.

A charge q = 2.00 µC is placed at the origin in a region where there is already a uniform electric field É = (100 N/C) i . Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin. (Eo = 8.85 x 10-12 C²/N • m2) O 2.26 x 105 N • m²/C zero O 5.52 x 105 N • m?/C O 1.13 x 105 N • m²/C

A point charge q = -5.5x 10 C is placed at the center of a spherical conducting shell of inner radius 2.8 cm and outer radius 3.3 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 9.0 N/C. (a) What is the charge density (in C/m2) on the inner surface of the shell? C/m² (b) What is the charge density (in C/m2) on the outer surface of the shell? C/m² (c) What is the net charge (in C) on the conductor?

Find the flux in N.m².C-1 of a constant electric field E = (5.3180x10^3) i + (-5.514x10^3)j + (-1.5880x10^3) k N/C, passing through an area defined by the area vector A = (-4.7990x10^0) i + (-7.69x10^0) j + (4.2900x10^-1) k m².

An infinite conducting cylindrical shell has radius 0.45 m and surface charge density 1.6 μC/m2. What is the magnitude of the electric field, in newtons per coulomb, 1.1 m from the axis of the cylinder?

A Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric field of magnitude E = 2.20 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. (a) What is the flux through the base? ______________N · m2/C(b) What is the flux through the curved portion of the surface? _______________N · m2/C