(a) The negatively charged particle shown in the diagram at left creates an electric field Ep at location A. What is the direction of E, at location A? (Refer to the rosette above.) C ✓X 8 h (b) Now a block of metal is placed in the location shown by the dashed rectangle. a jzero magnitude b (c) With the metal block still in place, what is the direction of the net electric field at location A? 0 X b jzero magnitude What is the direction of the electric field Em at location A due only to the charges in and/or on the metal block? (Refer to the rosette above.) ✓x C 'd /zero magnitude What is the direction of the electric field E, at location A due only to the charges in and/or on the metal block? (Refer to the rosette above.) G x

A non-conducting rod of length with a uniform charge density λ and a total charge is lying along the x-axis, as illustrated in Figure. point P, located at a distance y off the axis of the rod. Compute the electric field at a y P 8: x

Please show all the steps, and solution separate at the end. Part (a)  Do this for the range r > R. Part (b)  Do this for the range r < R.

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.

Problem 1 Shown on the right is an electroscope. The sphere on the top, the leaves at the bot- tom, and the rod connecting them are made by conducting material. The spherical shell that blocks the influence of external electric fields is also made by conducting material but the contact with the rod is insulated, so that charges will not shuffle between the rod and the spherical shell. The electroscope is first negatively charged by touching the sphere with a negatively charged plastic plate. The leaves spread apart and we remove the plastic plate. We then bring a positively charged glass bar close to the sphere without touching the sphere. What happens to the leaves? Leaves (A) One leaf moves higher, the other lower. (B) Nothing changes to the leaves (C) The leaves spread farther apart. (D) The leaves get closer together. Clearly specify/circle your answer, and give a brief explanation.