a) A 50- turn rectangular coil of dimensions 5cm x 10cm is allowed to fall from a position where magnetic field B is zero to a new position where B = 0.5T and the magnetic field is directed perpendicular to the plane of the coil. Calculate the magnitude of the average emf that is induced in the coil of the displacement occurs in 0.35s. (3 marks)

b) A proton moves with a velocity of V =(2i-4j+k)m/s B =(i+2j-3k)T. What is the
magnitude of the magnetic force this charge experiences?

c) A wire 2-8 m in length carried a current of 5A in a region where a uniform magnetic filed has a magnitude of 0.39T. Calculate the magnitude of the magnetic force on the wire if the angle between the magnetic fields and the current id
i) 90 degrees. (2 marks)
ii) 120 degrees. (2 marks)
d) From Faraday”s law of electromagnetic induction, state three ways in which emf can be induced in a conductor loop. (3 marks)
e) A sinusoidal electromagnetic wave of frequency 40MHz travels in free space in x-direction the figure below.

i) Determine the wavelength and period of the wave (4 marks)
ii) At some point and some instant, the electric field has a maximum value of 750 N/C and is along the y-axis. Calculate the magnitude of the magnetic field at this position and time. (3 marks)
iii) Arrange the following regions of electromagnetic spectrum according to increasing energy: X-rays, radio waves, gamma rays, microwaves, visible light. (1 mark)

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