Please answer all parts SHOWING ALL STEPS CLEARLY EXPLAINING THE CONCEPTS!! Also, please make sure all solutions are 100% correct. DO NOT USE CALCULUS (Integration, Cross product, etc.) TO SOLVE ANY OF THESE QUESTIONS. Thank you very much!

An infinitely long straight wire and a single circular current loop with radius R are arranged as shown in the figure. If both the straight wire and the loop are carrying the same current I, what is the magnitude of the magnetic field at the center of the loop? R (1) (7 + 1) MOI / (2TR) (2) ( 7 - 1) MOI / (2TR) (3) MOI/ (2R) (4) MOI/(2TR) (5) 27Mol / RAn electron (charge q = 1.6 x 10190) undergoing uniform circular motion with a radius R = 2 x 10'8m acts like a current loop. If the speed of the electron is 20 km/s, What is the corresponding current ow around the circle (in Amps)? (1) 2.5 x 10-8 (2) 5.0 x 10-8 (3) 1.2 x 10-8 (4) 2.5 X 10-7 (5) 5.0 X 10-7 Two isotopes of helium start from rest and pass through a potential difference AV = 860 V and then move out of a slit 1 the point S into a 0.2 T uniform X x x x X x x magnetic eld pointing into the paper as shown in the gure. Helium4 consists of two protons and 2 neutrons (atomic number 2, atomic mass = 4 AU) and helium3 has two protons and one neutron (atomic number 2, atomic mass = 3 AU). If both isotopes are doubly ionized (126., both have charged +2e), what is the distance of separation (in mm) of the two isotopes when they reach the photographic plate P? (Note: 1 AU = 1.67 x 10'27kg) Two identical charged particles, separated by a distance d, are moving parallel to each other in the xdirection with velocity V as shown in the gure. If V = 0.7c, What is the magnitude of the net electromagnetic force FEM that one of the particles exerts on the other? Note that c z 3 x 108 m/s is the speed of light in a vacuum and k: : 1 / (471150). 19622 (1) 051 (2) 075194622 (3) 0.64LQ2 (4) L622 a!2 a?2 A y-axis An electron (charge e = 1.6 x 10'190) undergoing uniform circular motion With a radius r = 2 x 10'8 m and constant angular velocity produces a magnetic eld at the center of the circle with a magnitude of 2.4,uT. What is the speed of the electron (in km/s)? (1) 60.0 (2) 20.0 (3) 40.0 (4) 10.0 (5) 50.0