Assignment title: Information


Message : i have an assignment related to magnetic field i have attached the( MRI assignment sheet)[1] please read it carefully in the assignment 2 methods to get the results - one by a FEKO program which i did so forget about it :) - the other one matlab is required to get the result please refer to methods part (2) Quasistatic electromagnetic modeling and solution in this case the tutor gave us the code for one point to calculate the magnetic field and we are required to calulate all the points along the rectangular coil . This rectangular coil could be divided into 4 lines. Since the starting points and ending point for each line are indicated in (tutorial sheet)[2] which i attached. i m not sure but i think our main goal is to find BX and BY using matlab then plot it in FEKO we could find the BX and BY but in matlab i couldn't Could you help me in this matter. as a reminder the tutor gave us the codes for starting points[3] . he also gave another codes for biot savart but not sure if it is usefull[4]. 4 documents 1- MRI assignment sheet which explains the requirments 2- tutorial sheet which has the rectangular loop and points 3- codes for points 4- codes for biot savart No of Pages/Words : code only Prerequisite: It is highly recommended that you have completed the ELEC7901 Matlab Tutorial on "Quasistatic Magnetic Field Simulation" before working on the current practical question. Task: Develop a MATLAB script to calculate the magnetic fields distribution over the shaded area due to a steady current running in the rectangular coil with the geometry shown in Fig.1. The current amplitude can be assigned to 1 A. Display this field using MATLAB functions, such as, imshow, mesh and surf. Hints: Essentially, the current task will be a straightforward extension of the task in the Matlab tutorial. Recall that the Biot-Savart Law is an equation that relates the induced magnetic fields to the magnitude, direction, length and proximity of the currents. The Biot-Savart Law has the following form: ⃑⃑⃑⃑⃑⃑⃑ × r J(r) ∫ μ0 B = 4π dr 3 r more detailed description can be found in the tutorial sheet. It is implied that a continuous current-carrying wire can be divided into many current dipoles of infinitesimal length. It is also implied that the magnetic fields due to the complete coil is equivalent to the superposition of the magnetic fields due to all the current dipoles. To facilitate numerical calculations, it was found that current dipoles with a length of a few millimetres can provide accurate approximation in such a scenario. Fig.1 Illustration of the geometries of the radiofrequency coil and the requested magnetic fields