1. Of the two scenarios described below: a. Find the bound volume and surface charges (for all surfaces) for both shapes. b. Pick ONE where you will provide the complete solution for E and D everywhere (Hint: pick the one where you can use Gauss' Law). c. For the other one provide an approximate sketch of P, E and D everywhere and a describe your logic in a few sentences, including any boundary conditions you may have used. • Shape 1: A short cylinder centered on the z-axis of height L, with it's bottom at the origin. It has a polarization of P = ks ŝ everywhere within it. k is a positive, real, constant. • Shape 2: A hollow sphere of inner radius a and outer radius b. It has a polarization of P = kr r everywhere within it. k is a positive, real, constant. L O Q pollov to CIL 2019 کا D a 2560
1. Of the two scenarios described below: a. Find the bound volume and surface charges (for all surfaces) for both shapes. b. Pick ONE where you will provide the complete solution for E and D everywhere (Hint: pick the one where you can use Gauss' Law). c. For the other one provide an approximate sketch of P, E and D everywhere and a describe your logic in a few sentences, including any boundary conditions you may have used. • Shape 1: A short cylinder centered on the z-axis of height L, with it's bottom at the origin. It has a polarization of P = ks ŝ everywhere within it. k is a positive, real, constant. • Shape 2: A hollow sphere of inner radius a and outer radius b. It has a polarization of P = kr r everywhere within it. k is a positive, real, constant. L O Q pollov to CIL 2019 کا D a 2560
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