Two thin circular wires, each with radius a, carry equal currents I but in opposite directions. They are placed so that their centers are at z = ±a/2 and the plane of each loop is parallel to the xy- plane. Find the magnetic field at a point (0, 0, 2) on the symmetry axis. What is the magnetic dipole moment of the system? Expand B(z) for z ≫ a keeping the lowest order term in a/z.

please answer d only

Just parts E G and H please

function of r for each region below, in terms of a, b, and any physical page, uniformly distributed along its surface. Find the magnetic field as a through its cross-section, and the shell carries a total current /, into the thick wire carries a total current 1 out of the page, uniformly distributed thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The A long, thick cylindrical wire of radius a is surrounded by a long. B6. 1. or numerical constants, and circle its direction. (a) B(a b) outside the shell Circle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)

can i get some help with d

An electron and a proton, both with the same initial velocity, v, enter a region with a uniform magnetic field B out of the page, as shown. Each one undergoes semi-circular motion in the field and exits the field some distance d from the entry point. (The diagram shows the path for just one of the two particles.) Consider the following two statements and decide if they are true or false. i) The particle shown in the picture must be the negative one (the electron). ii) The distance "d" for the proton will be greater than "d " for the electron. В d. (shot with same v) i is true, but ii is false Both i and ii are false i is false, but ii is true Both i and ii are true

A particle of charge q moves in a circle of radius a at constant angular velocity w. (Assume that the circle lies in the xy plane, centered at the origin, and at time t=0 the charge is at (a,0), on the positive x axis.) a) Find the electric and magnetic fields at the center. b) From your formula for B you obtained in a), determine the magnetic field at the center of a circular loop carrying a steady current I.

An electron of mass m and charge -e is moving through a uniform magnetic field B (Figure 1)At the origin, it has velocity v = (vz, Vy, 0), where vz > 0 and vy > 0. A screen is mounted = (B1, 0, 0) in vacuum. Part A perpendicular to the x axis at a distance D from the origin. First, suppose B= 0. Find the y coordinate y of the point at which the electron strikes the screen. Express your answer in terms of D and the velocity components vz and vy. Throughout, you can assume that the effect of gravity is negligible. • View Available Hint(s) Figure 1 of 1 y = y B Part B Now suppose Bx > 0, and another electron is projected in the same manner. Which of the following is the most accurate qualitative description of the electron's motion once it enters the region of nonzero magnetic field? screen The electron decelerates before coming to a halt and turning around while always moving along a straight line

A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)] (a) Verify that A =Bxr is a vector potential for B, where r = (x, y, 0) (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. F B FIGURE 17 A = (8,0,4), B (8,5,0), C = (0,5,0), D = (0,0,4), F = (8,0,0) Flux(B) = -40b

A long straight cylindrical shell has an inner radius R; and an outer radius Ro. It carries a current i, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r < R;). The magnetic field is zero everywhere in the hollow region. We conclude that the wire: O is on the cylinder axis and carries current i in the same direction as the current in the shell may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell O does not carry any current