3. (20 points) For the following problem, use the fact that an electron has a mass of 9.11 x 10- kg and a negative charge of magnitude 1.6x 10 " C. The figure below shows a uniform magnetic field that is confined to the region inside the dotted lines. An electron enters from the left, traveling along the +x-direction. Your goal is to design a magnetic field so that the electron emerges from the top (traveling along the +y-direction only), after spending exactly 2.0 x 10 9's within the region containing the magnetic field. (a) (10 points) Draw the path of the electron and indicate the required direction of the magnetic field. Briefly explain each of your answers.(b) (10 points) What is the required magnitude of the magnetic field within the region? Hint: All of the information required to solve this part is provided in the problem statement