PROJECT I Problem Statement: For the 2D-geometry indicated and assigned to each student with individual data set, determ
Posted: Tue Apr 12, 2022 10:07 am
- Project I Problem Statement For The 2d Geometry Indicated And Assigned To Each Student With Individual Data Set Determ 1 (35.42 KiB) Viewed 34 times
- Project I Problem Statement For The 2d Geometry Indicated And Assigned To Each Student With Individual Data Set Determ 2 (69.3 KiB) Viewed 34 times
- Project I Problem Statement For The 2d Geometry Indicated And Assigned To Each Student With Individual Data Set Determ 3 (14.96 KiB) Viewed 34 times
PROJECT I Problem Statement: For the 2D-geometry indicated and assigned to each student with individual data set, determine numerically (via finite-difference method (FDM) by hand-calculation or using a computer), the potentials at four nodes (A, B, C, D) situated in a dielectric medium of permittivity (e. X 6.) as shown in Fig. P.1. The dielectric medium is made of nine identical squares (dx d cach) and it is biased on its sides with voltages V. V. V, and Vas shown. d d d V volt A Vi volt Vs volt Dielectric medium: EO ET Fig. P. VA volt
2 With reference to PROJECT I and Fig, P.1, each student is assigned with a Group # and corresponding data set as given below. Each student should submit a detailed Report consisting of: a c) a) Statement of the problem with a neat diagram of the specified 2D-geometry with relevant indications of boundary conditions and pertinent details b) Clear statements of the boundary conditions: (Type etc.) A step-by-step hand calculation or a computer algorithm (MatLab/C/C++) on finite- difference method (FDM) applied to the structure of 2D-geometry d) Develop a matrix depicting the linear equations on the unknowns: VA, Vy. Vc. Vo e) Calculated potentials at the nodes A,B,C,D: {VA, Vs. Ve. Vo} € Listing of calculated/computed results
Vi: – 10 V V2: 0 V V3: + 10 V V4: – 3 V 3 d= 10 cm &r = 3.6 Eo = [(1/361) × 10-9] F/m = =