NATIONAL OPEN UNIVERSITY OF NIGERIA
Plot 91, Cadastral Zone, Nnamdi Azikiwe Express Way, Jabi-Abuja
FACULTY OF SCIENCES
January\February Examination 2018
Course Code: MTH417
Course Title: Electromagnetic Theory I
Credit Unit: 3
Time Allowed: 3 Hours
Total Marks: 70%
INSTRUCTION: ANSWER QUESTION ONE(1) AND ANY FOUR (4)
QUESTIONS (TOTAL = 5 QUESTIONS IN ALL)
1(a) State the Maxwell’s equations in a vaccum and in a conducting (3marks each=6marks)
(b) Define Average potential (2marks)
(c) The wave equation in a source free can be expressed as (i) (2marks)
(d) Define the following terms: waveguide and resonant cavity (2marks each=4marks)
(e) State Stoke’s theorem (2marks)
(f) Explain the term “electrical ” (2marks)
(g) State Gauss divergence theorem (4marks)
2(a) What is a line of force? (2marks)
(b) Show that (10marks)
3 Find the magnetic induction B and appropriate condition on both E and B to satisfy
Maxwell’s equations, if in a region of empty charges, current and magnetic
induction induced and electric E (12marks)
4(a) Use the Maxwell’s equation to show that (3marks)
(b) The homogeneous wave equation as and , hence solve
equation in (b) above (9marks)
5(a) Derive an equation for transerve magnetic waves in a rectangular waveguide and solve the
equation subject to the boundary conditions
(8marks)
(b) Obtain:
(i) the cutoff frequency(2marks)
(ii) the cutoff wavelength and the lowest mode (5marks) (2marks)
6 (a) Explain the term“Force of attraction between two charges” (3 marks)
(b) Find the electric field between co-axial cylindrical capacitors given as , also find the electric flux density and the capacitance. (9marks)
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Exam summary sample below
