A closely wound circular coil of 20 turns has a radius of 5.0cm and carries a current of 3.0A.
a. (i) Calculate the magnitude of the magnetic field at the centre of the coil.
b. (ii) Determine the magnetic field magnitude at a point on the axis at a distance of 8.0cm from the centre on the side where the current appears counter-clockwise.
c. (iii) What percentage of the magnetic field at the centre does the field obtained in part (ii) represent? Round your answer to two significant figures.