3 Magnitude of the Lorentz Force The magnitude of the Lorentz. force is given as, F = qusinlo) Suppose that a physicist sets up a region of uniform magnetic field. A sphere of an unknown charge is going to be shoot into the region perpendicular to the direction of the uniform magnetic field with a velocity of v = 100 mfs. The physicist then measures the force on the charged sphere. The following table contains the data of the measurements F(pN) 50.17 150.71 209.33 266.05 319.65 361.59 432.13 493.34 543.75 B (T) Plot F vs B. 13. What is the slope of the line? (Ct-hrs) 19. What is unknown charge on the sphere? (pC) As we saw above when charged particles move through regions of magnetic fields they make circles in the plane, Consider the charged sphere used by the physicist in the previous problem when B=D.5T (the velocity is still 1: = 100 this). ii the mass of the sphere is m=5 x 10 '\"kg: 20. What is the radius of the circle traced out by the charged sphere? (mi 21. What is the period of the motion? is) 22. What is the angular frequency to = 2th ? (wells) 4 Map the Field Lines Open the simulation (hIWWWWKW Ialocl u cWIllen lu Ml! -:r.r_ch:sm_'. | caesium Underneath the gray circle is a source for a magnetic field. Use the compass to explore the directions of the magnetic field around the object. If you click attd hold the simulation will sltow coordinates in the bottom left of the window. Select Configuration 1. [n which direction is the compass pointing... 23. In the region on the left of the source? 24. In the region beneath the source? 25. In the region on the right of the source? 26. In the region above the source? 27. What is the source of the magnetic field? Select Configuration 2. In which direction is the compass pointing... 28. In the region beneath the source (x: (I, y=-l)? 29. In the region to the right of the source (it: 1. y=)? 30. In the region to the left of the source (it: -1. y=)? 31. In the region above the source (it: 0' yzl')? [f you double click on any point the simulation displays the magnetic field lines. Draw as many lines as needed in order to answer the following question. 32. What is the source or the magnetic field? ODE" fl\"? Slmulon [WWW Ialocl I Common I: Ilia :dean I Datum Underneath the gray circle is a source for a magnetic field. Use the compass to explore the directions of the magnetic field around the object. If you click and hold the simulation will show coordinates in the bottom left of the window. Select Configuration 1. In which direction is the compass pointing... 23. In the region on the left of the source? 24. In die region beneath the source? 25. In die region on the right of the source? 26. In the region above the source? 27. What is the source of the magnetic field? Select Configuration 2. In which direction is the compass pointing... 28. In the region beneath the source (x= . y=-l)? 29. In the region to the right of the source (X: 11 y=)? 30. In the region to the left of the source (It: -1, y=)? 31. In the region above the source (X: 0. y=1)? If you double click on any point the simulation displays the magnetic field lines. Draw as many lines as needed in order to answer the following question. 32. What is the source of the magnetic I ielrl? 5 'I'wo Wires Carrying Currents J-Q'u-u.' wheornluewm .1ua .uut Eli Nat-uni h- swarms-r- .1\" I mu. .5 You can change the value of the currents using the two hats located at the bottom. Set the current on the left to -5 A. current on the right to zero 33. In which direction is the current? Set the current on the left to +5 A. current on the right to zero 34. In which direction is the current? Set the both current to the same value 35. Is there a point where the magnetic field is zero? Set the current on the left to -10 A. current on the right to +lD A 36. In which direction is the magnetic field pointing in the center? Set the current on the left to 10 A. current on the right to lti A 37. In which direction is the magnetic fielrl pointing in the center