Numerical Question

EFC 1203 COMPUTIONG II GROUP PROJECT Task 1 The capacitance, C of two eccentric cylinders, shown in Fig 1 below can be derived by: = 2 ℎ−1(2+ 2− 2 2 ) Where ε = permittivity in water (71x 10 -11 F/m) , a = radius of the inne r cylinder (0.1 m) , b = radius of the outer cylinder (0.3 m) , l = length of the cyl inders (0.25m) and x = eccentricity (0. 05m) . Evaluate the changes of capacitance value with respect of its eccentricity, using analytical method and compare the result with the basic finite difference method that can produce the best accuracy. Use MATLAB to compute the numerical result. Fig 1 Task 2 A bridge is currently being modified to cater for high loading traffic (Fig 2 ). For engineering analysis the half bridge model was taken into consideration, where the boundary and loading condition is as shown in Fig. 3. Following are a set of equations for the 10 unknowns, AB ,BC , AD , BD , CD , DE , CE , Ax, Ay, and Ey. Develop a MATLAB program to solve the unknown Ay + AB = 0 −AD + DE − (3/5)BD = 0 Fig 2 74 + BC + (3/5)BD = 0 CD + (4/5)BD = 0 −AB − (4/5)BD = 0 −DE − (3/5)CE = 0 Ax + AD = 0 −24 − CD − (4/5)CE = 0 −BC + (3/5)CE = 0 Ey + (4/5)CE = 0 Fig 3 Report Format is as shown below: