Physics Vaughan Name ___________________________ More Advanced Magnetic Force and Field problems 1) A 3 meter length of wire is in a 1.5 T magnetic field as shown. The wire has a resistance of 20 Ω and is connected to a 40 V battery. Θ = 60o What is the magnitude and direction of the force? θ 2) An electron and a proton are traveling towards the left of the page when they encounter a magnetic field of 3.0 T going into the page. The electron and the proton have the same kinetic energy of 4.5 eV a) What is the energy of the electron and the proton in Joules? b) What is the speed of each particle? c) What is the magnitude/direction of the force on the electron when it enters the field? d) What is the magnitude/direction of the force on the proton when it enters the field? 3) A singly ionized Potassium atom is fired with a velocity of 3 x 105 m/s towards the top of the page. It enters a magnetic field of 0.25 T going out of the page. a) What is the charge on the singly ionized Potassium atom? b) Find the magnitude and direction of instantaneous force that acts on the atom as it enters the field c) Describe the path of atom in the field. d) If the mass of a potassium atom is (roughly) 6.5 x 10-26 kg, what is the radius of the path? e) How long does it take to make one revolution? f) How much work is done per revolution by the magnetic force? 4) A particle is traveling at 5 x 105 m/s when it enters a magnetic field of 2.8 T going into the page. It travels in the path shown below. We know that the magnitude of the charge of the particle is 3.2 x 10-19 C but we do not know its sign. The particle travels in a circular path that has a diameter of 40 mm. a) What is the sign of the charge? Why? x x x x x b) What is the mass of the charge? x x x x x x x x x x x x x x x x x x x x