A 8 N/C uniform electric field in the yz-plane is directed 0 = 312° from the +y-axis. Calculate the electric flux (in N-m²/C) through a 10 mx 4.4 m rectangular area in the xy- plane. Use the following conventions: Let 0 be measured from the +y-axis towards the +z-axis and let the rectangle's area vector be in the +z-direction. (And remember that electric flux can be positive or negative.) [

A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is immersed in a uniform electric field of magnitude 55.0 N/C that is directed at 20 degrees from the plane of the sheet (Figure 1). Find the magnitude of the electric flux through the sheet. Express your answer with the appropriate units.

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

The square surface shown in the figure measures 3.4 mm on each side. It is immersed in a uniform electric field with magnitude E = 1400 N/C and with field lines at an angle of 35° with a normal to the surface, as shown. Take that normal to be "outward," as though the surface were one face of a box. Calculate the electric flux through the surface. Normal 4 Number i Units

Problem 2 Consider the Gaussian surface shown in Figure 2. A uniform external electric field E, having magnitude 3.20 x 103 N/C and parallel to the xz plane with an angle of 36.87° measured from the +x axis toward the +z axis, enters through face 1 (back face). In addition, a uniform electric field E, of magnitude 6.40 x 103 N/C traveling in the same direction as E, , flows outwardly through face 2 (front face). 0,45 m 0,30 m En 0.50 m Figure 2. Gaussian surface in the form of a prism through which two fields pass.

The square surface shown in the figure measures 4.2 mm on each side. It is immersed in a uniform electric field with magnitude E = 1900 N/C and with field lines at an angle of 35° with a normal to the surface, as shown. Take that normal to be "outward," as though the surface were one face of a box. Calculate the electric flux through the surface.