Q. 2. Given the electric field in the region E = 2xi, find the net electric flux through the cube and the charge enclosed by it. Ay I O di zult obdusko K of supsz eguarig a II hobry sourm
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- Help with pratice testConsider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface. y E L L We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: Фnet Ф1 + Ф, +Ф; + Ф. ху + 0xz+@yz The flux through surface 1 is: 01=0. The flux through surface 2 is: 02= The flux through surface 3 is: 03 = The flux through the surface on the xy plane is: Oxy = The flux through the surface on the xz plane is: Oxz= The flux through the surface on the yz plane is: O yz Taking the algebraic sum, the net electric flux through the cube is: Onet = 1111HANDIN H W#10: Consider an electric field E given by the formula E = (3 + 2y) j. Then find the net flux through the closed surface of a cube of 10 m on an edge as shown in diagram on The right. a)Start by finding which faces have no flux, b) whch faces have non-zero flux and what is it? c) What is the net flux for whole closed surface of cube? D) what is the net charge contained? (Hint: find the outward normal n for each face
- Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, oin and Tout. c) Determine the work required to move a charge qo from r₁ = 4a to rf = 1.57a where r is the distance from the cylindrical axis.ELECTRIC FIELD IN FREE SPACE( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).+Q R 1. Suppose that a charged rod of uniform charge density A is formed into a semi- circle of radius R. Find the net electric field produced at the center at point P where the left half of the semi-circle holds a total charge of -Q whilc the other half is +Q as shown above. Express the clectric ficld as a vector format (E).