Compute the capacitance per unit length, Electrical Engineering

Write a program implementing the conjugate gradient method (un-preconditioned). Solve the matrix equation corresponding to a finite difference node-spacing, h = 0.02m in x and y directions for the same one-quarter cross-section of the system shown in Figure 2 that considered in Question above. Use a starting solution of zero. (Hint: The program you wrote for Question of Assignment 1 may be useful for generating the matrix equation.)

(a) Test your matrix using your Choleski decomposition program that you wrote for Question 1 of Assignment 1 to ensure that it is positive definite. If it is not, suggest how you could modify the matrix equation in order to use the conjugate gradient method for this problem.

(b) Once you have modified the problem so that the matrix is positive definite, solve the matrix equation first using the Choleski decomposition program from Assignment 1, and then the conjugate gradient program written for this assignment.

(c) Plot a graph of the infinity norm and the 2-norm of the residual vector versus the number of iterations for the conjugate program.

(d) What is the potential at (x,y) = (0.06, 0.04), using the Choleski decomposition and the conjugate gradient programs, and how do they it compare with the value you computed in Question 2(b) above. How do they compare with the value at the same (x,y) location and for the same node spacing that you computed in Assignment 1 using SOR.

(e) Suggest how you could compute the capacitance per unit length of the system from the finite difference solution.

Posted Date: 3/28/2013 3:06:10 AM | Location : United States

Related Discussions:- Compute the capacitance per unit length, Assignment Help, Ask Question on Compute the capacitance per unit length, Get Answer, Expert's Help, Compute the capacitance per unit length Discussions

Write discussion on Compute the capacitance per unit length
Your posts are moderated
Related Questions
1. Frequency Modulation theory and its explanation 2. FM transmitter schematic, tests results and measurements 3. Amplifier and Oscillator circuit explanation and calculation

Question: (a) Describe the following terminologies: i. Branch ii. Branch Prediction iii. Branch Predictor iv. Branch Misprediction (b) Consider that 15% of instructi

The conveyor system is driven by a 240 Volt 50 Hz AC motor requiring a continuous 1 Amp supply. The conveyor has single direction operation. The loading mechanism for the winder

The direction of the magnetic field lines is given by 'Maxwell's Right-Hand corkscrew rule'  The thumb of the right hand indicates the direction of current flow in the wire and

Q. Explain the conditions under which an RC circuit behaves as Integrator? Integrator is a circuit in which the output voltage is proportional to the integral of the input. Out

A 6 V / 2.5 mA relay is connected in the output stage of a transistor.  The coil is made of aluminium having α = 0.004. The resistance of the coil is 600 ? at 32 o C. Calculate th

Q.   Derive the expression for generated emf in a dc generator. Ans. Expression for Generated emf in a DC Generator                We shall now derive an expre

Q. With suitable diagram explains the working of a sweep frequency generator. Sol. A sweep frequency generator or sweeper is a special type of signal generator in which the o

Q. What are the performance measures of oscillator circuits? 1. Stability: This is determined by the passive components. R, C and L determine frequency of oscillations. If R ch

Q. At the two terminals (A, B) of a one-port network, the voltage and the current are given to be v(t) =200 √2 cos (377t + 60°) V and i(t) = 10√2 cos(377t + 30°) A. (a) Determin