PHY 1520 - Activity 4: Chapter 22 - Magnetic Forces and Fields For all problems, please show explicitly the work that you have done to arrive at your answer. It is helpful to note the property you have used to arrive at your answer & to include such equation before inserting numerical values. Remember to include units & to mind your significant figures! You may find it helpful to draw a diagram even if is not required. 1. What do the two right hand rules represent mathematically regarding the behavior of a charged particle moving in a magnetic field? 2. If a magnetic field B is directed into the page, and a charged particle is traveling at velocity from left to right on the page, what is the direction of the resulting force vector? Draw this situation & describe how it relates to the previous question. 3. A proton moves with a velocity of D = (At + Cj + DR) m's in a region in which the magnetic field is B = (Gi + Hj + Wh) T. What is the magnitude of the magnetic force this particle experiences? 4. At the equator, near the surface of the Earth, the magnetic field is approximately 75.0 pT northward and the electric field is about 120 N/C downward in fair weather. Find the gravitational, electric, and magnetic forces on an electron in this environment, assuming that the electron has an instantaneous velocity of 6.00 x 10" m/'s directed to the east. Draw a diagram depicting these forces & their directions