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!

Three infinitely long straight wires lie in a plane as shown in the figure. The top wire carries current I to the right and is a distance d from the center wire d which carries current 4/ to the right. The bottom wire carries current bottom to the left and is a distance d from the center wire. If the magnitude of the 41 net force on the top wire due to the other two wires is zero, what is /bottom? bottom d (1) 81 (2) 41 (3) 61 (4) 21 (5) I two wires? In the previous problem, what is the magnitude of the net force on a length L = d/2 of the center wire due to the other (1) 36kBI2 (2) 10KBI2 (3) 21kBI2 (4) 6kBI2 (5) 28KBI2Two isotopes of helium start from rest and pass through a potential difference AV = 480 V and then move out of a slit at the point 8 into a 0.2 T uniform x X X x x x x magnetic eld pointing into the paper as shown in the gure. Helium-4 consists of two protons and 2 neutrons (atomic number 2, atomic mass = 4 AU) and helium-3 has two protons and one neutron (atomic number 2, atomic mass = 3 AU). If both isotopes are doubly ionized (i.e. 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) (1) 6 (2) 12 (3) 4 (4) 8 A loop of wire carrying a current of 4.0 A is in the shape of a right triangle with two equal sides, each with length L = 15 cm as shown in the figure. A 0.7 B T uniform magnetic field is in the plane of the triangle and is perpendicular to the hypotenuse. The magnetic force on either of the two equal sides has a magnitude of: L L (1) 0.30 N (2) 0.105 N (3) 0 (4) 0.21 N (5) 0.25 NA current loop in the shape of a right triangle with hypotenuse of length L = 0.75 m lies in the xyplane and carries a current I = 2 A in the clockwise direction as shown in the gure. The current loop is immersed in a uniform external 0.5 T magnetic eld which points in the xdirection. If 0 = 30, What is the magnitude of the magnetic force on the hypotenuse of the right triangle due to the external magnetic eld (in N)? (1) 0.375 (2) 0.130 (3) 0.257 (4) 0.090 (5) 0.425 In the previous problem, What is the magnitude of the torque on the current loop (in N-m) due to the external magnetic eld? (1) 0.122 (2) 0.048 (3) 0.090 (4) 0.024 (5) 0.225 ' At time t = 0 a charged particle with speed v0 = 4 m/s enters a region through a slit and travels perpendicular to a uniform magnetic eld (pointing out of the page as shown in the gure. If the article hits the bottom wall a distance d from t e slit at t = 3.14 s, what is d in m)? (1) 8 (2) 2 (3) 4 (4) 1