ELECTRICAL AND ELECTRONICS ENGINEERING DEPARTMENT ECELEMAG. Electromagnetics SCORE QUIZ 4 Name: ______________________________________ Section:______________________________________ Faculty Name: ________________________________ Student Number:________________________________ Date of Examination: ____________________________ Schedule:_______________________________________ Pledge of Honor I, , a student of the FEU Institute of Technology, pledge to exercise integrity and honesty as I take this examination. I consider it dishonest to ask for, give, or receive help in this examination. I pledge to do all that is in my power to live a life of dignity and credibility and to create that spirit in my environment. ____________ Student’s Signature Section Date Program Outcomes Covered: a. ability to apply knowledge of mathematics and science to solve engineering problems e. ability to identify, formulate, and solve engineering problems g. ability to communicate effectively i. recognition of the need for, and an ability to engage in life-long learning Course Learning Outcomes Covered 1. Access and evaluate different electromagnetic formulas in vector analysis, coordinate systems, steady electric fields, divergence, steady magnetic fields, and time varying fields. 2. Classify and analyze vector transformations, electric fields, electric flux, magnetic field and magnetic flux. 3. Analyze and solve numerical problems regarding electromagnetics using vector analysis and other mathematical tools. I. 1. 2. 3. 4. 5. 6. 7. Problem Solving/Essay Directions: Solve each problem carefully. Provide all pertinent solutions to each problems. Do not round off during intermediate solutions. Write all answers in 3 decimal places. (10 pts) The vertices of a triangle are located at (4, 1, -3), (-2, 5, 4), and (0, 1, 6). Find the three angles of the triangle. (10 pts) Points P, Q, and R are located at (-1, 4, 8), (2 ,-1 , 3), and (-1, 2, 3), respectively. Determine: (a) the distance between P and Q, (b) the distance vector from P to R, (c) the angle between QP and QR, (d) the area of triangle PQR, (e) the perimeter of triangle PQR. (20 pts) Given point P(-2, 6, 3) and vector A = yax + (x + z)ay, express P and A in cylindrical and spherical coordinates. Evaluate A at P in the Cartesian, cylindrical, and spherical coordinate systems. (10 pts) Consider the object shown below: Determine the area enclosed by ABCD. (10 pts) Find the charge in the volume defined by 0 ≤ 𝑥 ≤ 1 𝑚, 0 ≤ 𝑦 ≤ 1 𝑚, and 0 ≤ 𝑧 ≤ 1 𝑚 if 𝜌 = 30𝑥 2 𝑦 (uC/m3). (15 pts) Two point charges, Q1 = 50 uC and Q2 = 10 uC, are located at (-1,1,-3) m and (3,1,0) m, respectively. Find the force on Q1. Determine also the E due to Q1 at (0,0,0). (10 pts) A lead (σ = 5 x 106 S/m) bar of square cross section has a hole bored along its length of 4 m so that its cross section becomes that of the given figure. Find the resistance between the square ends. 1|Electromagnetics (Quiz 4) “5 If you need wisdom, ask our generous God, and he will give it to you. He will not rebuke you for asking.” – James 1:5 NLT 8. (15 pts) Determine the total capacitance across the terminals. Suppose that a 1 – V source be connected to the open terminals. Determine the energy stored in the 4 uF capacitor. 2|Electromagnetics (Quiz 4) “5 If you need wisdom, ask our generous God, and he will give it to you. He will not rebuke you for asking.” – James 1:5 NLT