Please answer no. 1 and 2 and show your complete solution, check the picture for the guide, thank you!

Search 10:51 PM Fri Feb 11 59%D Done a cdn.discordapp.com C Electric Flux The relationship between electric charge and electric field was also formulated alternatively in Gauss's law (Karl Friedrich Gauss 1777-1855). This is logically equivalent to Coulomb's law, but this was easier to use in finding electric field for symmetrical charge distribution. Gauss's law general statement is expressed as: OF = FB cos 8 where is the electric flux Nm E is the magnitude of electric field expressed in . @ is the and between the normal line of the surface and electric field lines. and A is the area of a given surfa expressed in m?. Electric flux refers to the amount of electric field lines penetrating a given surface. The electric flux is maximum if the electric field lines are perpendicular to the surface or parallel to the normal line of the surface. The electric flux is zero when the electric field line is parallel to the surface or perpendicular to the normal line of the surface. At a given angle, the electric flux is directly proportional to the component of the electric field lines. De = EA cos cos 0 = EA $= EA cos cos 90 = 0 Vos cos 0 Problem (1): A uniform electric field with a magnitude of E = 400 N/C incident on a plane surface of area A = 10 m- and makes an angle of 0 = 30 with it. Find the electric flux through this surface? Solution: electric flux is defined as the amount of electric field passing through a surface of area A with formula 1. = E . A= EA cose where dot (.) is the dot product between electric field and area vector and O is the angle between E and the normal vector to the plane. In this problem, the angle between electric field and normal to the plane is 60 so we get D. = EA cos 400 x 10 x cos 30 1/2 - 2000 N.m /C WORKSHEET NO. 3 1. Find the electric flux through the surface with sides of 15 cm X 15 cm shown in the figure below. n m 30 2. What is the magnitude of electric flux of a constant E of 4N/C in the z-direction through a rectangle with surface area 4m2 in the xy-plane