4. (i) State Ohm’s Law, defining all quantities involved. [4 marks]
(ii) An electron is travelling due east. It enters perpendicularly a magnetic field whose magnitude is B = 5 × 10−3 T. After entering the field, the particle completes one-half of a circle and exits the field travelling due west.
(a) Draw a diagram showing the velocity of the electron, the magnetic field, the magnetic force on the electron, and the trajectory of the electron in the magnetic field. [4 marks]
(b) How much time ∆t does the electron spend travelling in the magnetic field? [6 marks]
(c) Before entering the magnetic field, the electron is accelerated from rest through a potential difference ∆V. Determine the minimum value of ∆V such that the electron exits the magnetic field at least at a distance d = 2 cm from the entry point. [6 marks]
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