EL ENG 117 Midterm: ee117-sp2014-mt1-Chang-Hasnain-exam

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If you need additional conditions to solve a problem, please write down your assumptions. Answer in the space below the problem. If you need additional space, you can use the overflow pages in the back. Please indicate which page the answer continues in the lower-right corner. Please put a square box around your final answers for each problem. 1: (gauss"s law and boundary conditions) we have two concentric spherical shells made of perfect conductors. Two different dielectric are filled in between the two shells, as shown below. On the left side the permittivity is , and on the right side permittivity is . The inner shell carries a total amount of charge q, whereas the outer shell is grounded. Please find the electric field in region 1 and region 2. 2: (laplace equation and boundary conditions) two infinite conducting planes maintained at potentials 0 and form a wedge-shaped configuration, as shown in the figure.