Consider the imaginary closed cube shown. Note carefully that a coordinate system is given in the diagram, with the +x direction coming out of the screen toward you. TOP Front Right Bottom (opposite top) The electric field everywhere in space is given by E = -3k N/C where "k-hat" is a unit vector in the +z direction and the "N/C" are the units newtons per coulomb Using the conventions discussed in lecture, determine the sign of the electric flux through each o the following surfaces: • The electric flux through the top surface is [ Select] • The electric flux through the right surface is [ Select ] • The electric flux through the front surface is [Select] • The electric flux through the bottom surface is [ Select ]

Consider the imaginary closed cube shown. Note carefully that a coordinate system is given in the diagram, with the +x direction coming out of the screen toward you. TOP Front Right Bottom (opposite top) The electric field everywhere in space is given by E = -3k N/C where "k-hat" is a unit vector in the +z direction and the "N/C" are the units newtons per coulomb Using the conventions discussed in lecture, determine the sign of the electric flux through each o the following surfaces: • The electric flux through the top surface is [ Select] • The electric flux through the right surface is [ Select ] • The electric flux through the front surface is [Select] • The electric flux through the bottom surface is [ Select ]

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Two large conducting plates on insulating stands are placed a distance D=50cm apart, as shown at right. The inner surface of one has a charge density of +sigma0; the other, -sigma0. The charge density on the outer surface of each plate is zero. (a) Sketch the configuration of the plates as shown and draw field lines on your diagram to represent the electric field everywhere that a field exists. (b) An electron is released at point 1 and accelerates to the right. When the electron reaches point 2, its horizontal component of velocity is equal to 1.45x10^6 m/s. Find the voltage difference between the two plates. (c) Find the magnitude of the electric field at a point halfway between points 1 and 2. (d) How much work must be done by an external agent to move an electron from rest at point 2 to rest at point 3?
Please show work. Two identical charges, both labeled q1q1 in the diagram, are placed on the xx axis at (−a,0)(−a,0) and (+a,0)(+a,0). The electric field is observed at point PP, located on the yy axis at (0,+a)(0,+a). Charge q2q2 is added at the origin so that the net electric field at the observation point PP is zero. If q1=q1=3.5 μC and a=a=4.4 m, what is the value of charge q2q2, in microcoulombs?
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1A On the diagram below, draw the normal vectors for all six faces of the cube (have the tail of the vector placed at the dots, 1 mark). What is the surface area vector for the top (3) and the bottom (6) faces of the cube in terms of î, ĵ, k.I B)| Write expressions of the electric field Ē along each of the faces of the cube. E, (a, y,z) = Ē2(x, a, z) = Ē3(x, y, a) = E, (0, y, z) = Es(x, 0, z) = Ē,(x, y,0) = C) Calculate the value of ¤g = S Ē -dÃ o on face 3 of the cube. Show all your steps.