Electromagnetism Mock Exam 1 PDF

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Mock exam questions from the 2015/2016 academic year covering the electromagnetism part of the course....

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23rd

Mock Exam

1a) State the relationships between the electric field and the displace between the magnetic field and the magnetic induction in vacuum. b) Write Maxwell’s equations in differential form and hence derive the equation for the electric field in vacuum with no sources:

1 ∂2 ∇ E− 2 2 E= 0 c ∂t How is the constant c related to the free-space permittivity and the permeability? 2

c) Assuming that the complex electric & magnetic fields can be writte E ( r,t ) = E0 exp ⎡⎣ i ( k ⋅ r − ω t ) ⎦⎤ ;

H ( r,t ) = H0 exp ⎡⎣ i ( k ⋅ r −

where E0 and H0 are real constant vectors, use Maxwell III to find th between the fields E & H. What does this tell you about the directio fields? d) Assuming that the electric field is perpendicular to the direction o use your answer to (c) to find the relation between the magnitudes o What is the quantity E H known as?

Useful formulae:...