"A rectangular current loop is lying on the xy-plane defined by 0 <= x <= 1, 0 <= y <=2 (in meters). It carries a current of 4 mA that flows fro origin towards +x-axis and forms a loop defined by the rectangle. Determine the torque if the loop is subjected to a magnetic field defined B = -0.6 a_y+ 0.8 a_z T." O -4.8 a_x mN-m O 4.8 a_x mN-m -6.4 a_x mN-m 6.4 a_x mN-m none of the choices

A positively charged particle slides off a frictionless and smooth surface with initial X X X X X X X X speed v, =v, . It then enters into a region with X X X X X x x x X uniform magnetic field pointing into the page. X X X X x x x x X x x x x x X x x x The particle eventually hits the ground with final speed v, air time and range S · The particle slides off the edge again with identical initial speed, but this time without the magnetic field. The particle then hits the ground with final speed v,, air time t, , and range s,. Determine the relationships between v, and v,, t, and t, , as well as s, and s, (3 marks). Please note that no calculation is needed. You were to provide the relationship in the sense that whether one variable is greater than, smaller than, or equals to the other one (>, <, or =). Provide a rough explanation (3 marks).

A student makes a short electromagnet by winding 390 turns of wire around a wooden cylinder of diameter d = 4.1 cm. The coil is connected to a battery producing a current of 4.1A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z>> dwill the magnetic field have the magnitude 4.8 µT (approximately one-tenth that of Earth's magnetic field)? (a) Number i Units (b) Number i Units

A circular coil of 205 turns has a radius of 1.84 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 3.44 A-m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 46.8 mT magnetic field. (a) Number Units (b) Number Units