NATIONAL OPEN UNIVERSITY OF NIGERIAPlot 91, Cadastral Zone, Nnamdi Azikwe Express Way, Jabi-Abuja

FACULTY OF SCIENCEOctober\November Examination 2016

Course Code: MTH417 Course Title: Electromagnetic Theory Credit Unit: 3Time Allowed: 3 HoursTotal: 70 MarksInstruction: Answer Any 4 Questions

1. (a) Briefly explain Lorentz force (7 ½ marks)

(b) Explain what constitutive relations in electromagnetic (4 marks)

(c) State the three fundamental constitutive relationships that describe electromagnetic input

(6 marks)

2. (a) State Maxwell’s equations (5 ½ marks)

(b) Explain briefly four Maxwell equations (12 marks)

3. (a) State Gauss’s divergence theorem and express it mathematically (9 marks)

(b) State Stokes theorem and express it mathematically (8 ½ marks)

4. (a) Explain Faraday’s electromagnetic induction (9 ½ marks)

(b) State the four Maxwell’s macroscopic equations. (8 marks)

5. (a) Define Electromagnetic wave equation (5 marks)

(b) Derive wave equation for the electric field (12 ½ marks)

6. (a) Apply Gauss’s divergence theorem to the first two Maxwell’s equations. Compare

their resulting equations (17 ½ marks)