Two charged particles with the same initial velocity enter the magnetic fields from the origin, as shown below, please check the right trajectory of each particle based on the following information of these two particles. P1: charge=-1c, mass=2*10-19 kg y P2: charge=1c, mass=4*10-19 kg B ®®® Vo 1) The trajectory of p1 is 2; the trajectory of p2 is 3. x II) The trajectory of p1 is 4; the trajectory of p2 is 1. III) The trajectory of p1 is 3; the trajectory of p2 is 4. IV) The trajectory of p1 is 1; the trajectory of p2 is 2.

‭Rank the magnitudes of the forces exerted on the following particles from largest to smallest.a) An electron moving at 1 Mm/s perpendicular to a 1-mT magnetic field.b) An electron moving at 1 Mm/s parallel to a 1-mT magnetic field.c) An electron moving at 2 Mm/s perpendicular to a 1-mT magnetic field.d) A proton moving at 1 Mm/s perpendicular to a 1-mT magnetic field.e) A proton moving at 1 Mm/s at a 45o angle to a 1-mT magnetic field

In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y₂ = -8.38 cm and y4 = 4.19 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.38 cm and particle 3 is at x3 = 8.38 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force Fnet on particle 5 by 30° (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original counterclockwise? direction? (a) Number i (b) Number i Units Units 10

1.2 Magnetic Circuits The figure shows a ferromagnetic core whose mean path length is 40cm. There is a small gap of 0.05 cm in the structure of the otherwise whole core. The cross-sectional area of the core is 12 cm², the relative permeability of the core is 4000, and the coil of wire on the core has 400 turns. Assume that fringing in the air gap increases the effective cross-sectional area of the air gap by 5 percent. Mr = 4000 N=400 turns ·25.4m² Il=0.0005m A=0.0012 m² Given this information: a) Find the total reluctance of the flux path (iron plus air gap). b) Find the current required to produce a flux density of 0.5 T in the air gap. c) Qualitatively describe the effect of the air gap on the magnetic circuit.