The magnetic dipole moment of the cobalt atom is about 1.6 x 10-23 A · m². (a) Calculate the maximum magnetic dipole moment (in A· m2) of a domain consisting of 1020 cobalt atoms. A•m2 (b) What current (in A) would have to flow through a single circular loop of wire of diameter 2.6 cm to produce the magnetic dipole moment you calculated? A

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e An alpha particle (the nucleus of a heliumatom) consists of two protons and two neutrons, and has a mass of6.64 * 10-27 kg. A horizontal beam of alpha particles is injectedwith a speed of 1.3 * 105m>s into a region with a vertical magnetic field of magnitude 0.155 T. (a) How much time does it takefor an alpha particle to move halfway through a complete circle?(b) If the speed of the alpha particle is doubled, does the time foundin part (a) increase, decrease, or stay the same? Explain. (c) Repeatpart (a) for alpha particles with a speed of 2.6 * 105m>s

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 cube of edge length { = 6.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components B, 3D +3.0 Т, В, %3D +8.0 T, and B. z +5.0 T. %D y (a) Calculate the flux through the shaded face of the cube. T: m (b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? T.m2

Figure (a) shows a wire that forms a rectangle (W = 19.0 cm, H = 29.0 cm) and has a resistance of 4.50 mQ. Its interior is split into three equal areas, with magnetic fields B and B B 2' The fields are uniform within each region and directly out of or into the page 1, 3. as indicated. Figure (b) gives the change in the z components B, of the three fields with time t; the vertical axis scale is set by Bg = 4.50 µT and Bp = -2.50B5. What are the (a) the magnitude and (b) direction of the current induced in the wire? B5 H B2 t (s) (a) (b) (a) Number i 2.75E-5 Units A (h) COunterclockwise B. (uT)

A positive oxygen-16 ion with a mass of 2.66 × 10-26 kg travels at 35 × 106 m/s perpendicular to a 2.50 T magnetic field, which makes it move in a circular path with a 0.332-m radius. Part (a) What is the charge of the ion, in coulombs? Part (b) What is the ratio of this charge to the magnitude of the electron’s charge?

AY R R/2|; d A single current-carrying circular loop of radius R = 8.8 cm is placed next to a long straight wire as shown in Figure. A current i1 = 7.2 A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 700.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d — 2.1ст. The z axis points out of the page in the coordinate system shown in the figure which is represented by the circle with a dot inside. a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire.

The current in a long, straight conductor has the following form:I(t) = I0cos ωtWhat is the magnitude of the magnetic field a distance r away from theconductor?

The uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of = 30° above the ry-plane. Find the radius r and the pitch p of the electron's spiral trajectory. z 4 V