In question 2 you will need to draw a diagram and determine if your current is in the x,y,z and the Bfield too (Answer should be a vector). Please show all your work!!

Moving Charges in a Magnetic Field (Due on June 3 2021) 1.) A wire has a steady current of 2.50A. A straight section of the wire is 0.750 meters long and lies along the x-axis within a uniform magnetic field of magnitude B = 1.60 Tesla in positive z-direction. If the current is in the +x- direction, what is the magnetic force on the section of the wire? (vector) 2.) A wire of 2.70 meters in length carries a current of 4.00 A in a region where a uniform magnetic field has a magnitude 0f 0.390 T. Calculate the magnetic force (vector) on the wire if the angle between the magnetic field and the current is (a) 60, (b) 90, () 120. (6 pts) 3.) Consider the velocity selector and mass spectrometer shown schematically below: Photographic I'I X X plate ~~____ 3 Velociw selector By, in The electric field between the plates of the velocity sector is 2300 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0350 T. Calculate the radius of the path of a singly charged Ion having a mass, m =2.18 x 10* kg. q = 1.6%10" C 4.) Design a cyclotron to accelerate protons to energies of 32.0 MeV using a magnetic field of 5.10 T. What is the cyclotron radius? 5.) A proton moves in a direction perpendicular to a uniform magnetic field B at 9.10 x 10m/s and experiences an acceleration of 2.00 x 10" m/s'in the +x-direction when its velocity is in the +z-direction. Determine vector magnetic field.(magnitude and direction) Show all your work to get full credit