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Electromagnetism 3 a) When an electron is moving at a speed v perpendicular to a uniform magnetic field of flux density B, it follows a path of radius r. A second electron moves at a speed 3v perpendicular to a uniform magnetic field of flux density 6B. i) What is the radius of the path of the second electron? (1 mark) ii) Explain why the electrons move in a circular path at a constant speed in the magnetic field. (3 marks) b) When the speed of the electrons in the beam is 9.8 x 106m s-1 and the magnetic flux density is 0.46 mT, the radius of curvature of the beam is 121 mm. Find the charge to mass ratio (e/m) of an electron in this beam, stating an appropriate unit. Give your answer to an appropriate number of significant figures. (4 marks)