Problem #1 [10 marks] It is common practice to use a very large resistor (called a bleeder resistor) in parallel with a large capacitor. The idea is to protect service workers by ensuring that the capacitor does not remain charged indefinitely, when the circuit is turned off. Consider an old television set with a 5.00 uF capacitor, which is charged to 30.0 kV potential difference. For a 4.70 MO bleeder resistor, (a) Determine the time constant for this arrangement. (b) How long does it take for the capacitor to discharge 99.9% of its original charge? Problem #2 [10 marks] Singly ionized ions of two isotopes of Carbon, 12C and 14C are given the same speed of 7.72 x 105 m/s. The ions then enter the deflection chamber of a mass spectrometer where the magnetic field is 0.805 T. Find the difference in the radii of the paths of the two isotopes in the deflection chamber. Problem #3 [10 marks] An electron is placed 15.00 cm from a large (effectively infinite) sheet of Aluminium with a surface charge density of -6.48 x 10-7 C/m. (a) What is the electric field at this point? Specify both magnitude and direction. (b) What is the acceleration experienced by the electron? (c) What distance is the electron from the Aluminium sheet after 5.57 ns, if it were initially at rest