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Electric and Magnetic Fields 1. A car battery transfers 60.0 J of energy to 5.00 C of electrons to light up the headlight of a car. What was the voltage of the battery? 2. A uniform electric field has a strength of 120 N/C. An alpha particle with a charge +2e is pushed against the field direction by an external force for a distance of 25 cm. How much electric potential energy does the alpha particle gain? 3. An electron gun has a uniform electric field of 425 N/C. An electron starts from rest and is fired from the gun, reaching a speed of 3.25 x 105m/s. Using the conservation of energy for electric charges, how far does the electron move relative to the field? 4. An alpha particle with a charge of +2e is fixed at the origin. A proton is aimed at the alpha particle and shot at it from a distance of 2 m away at a speed of 3.64 x 10"m/s. How close will the proton come to the alpha particle before coming to a stop? 5. In a Millikan-type experiment, two horizontal parallel plates are 1.0 cm apart. A sphere of mass 2.2 x 10-13 kg remains stationary when the potential difference between the plates is 350 V with the upper plate negative. a) Is the sphere positively or negatively charged? Explain. b) Calculate the magnitude of charge on the sphere. c) Is there an excess or deficit of electrons on the sphere? by how many? 6. In a uniform electric field, the electric potential difference between two points 5 cm apart is 1470V. Calculate the magnitude of the electric field intensity. 7. A straight conductor carries a current of 20 A through a uniform 0.95 T magnetic field. The magnitude of the force on the conductor is 15 N and the angle between the current and the magnetic field is 55*. Calculate the length of the conductor.Electric and Magnetic Fields 8. An electron accelerates from rest through an electric field and into a magnetic field travelling at a speed of 3 x 10' m/s as shown in the diagram below. The plates have a potential difference of 25 V, and the magnetic field has a magnitude of 0.50 T. (Remember: me = 9.11 x 10 31kg and e = -1.6 x 10-19C.) (a) Calculate the magnitude and direction of the magnetic force on the electron. -ve +ve X X X X X .O electron X X X X X (b) Calculate the radius of the electron's circular path