Consider a thin glass rod of radius R and length L carrying a uniform surface charge σ. It is set spinning about its axis at an angular velocity w. 1. Find the direction of the magnetic field at a distances >> R from the axis in the xy plane. 2. Find the magnitude of the magnetic fiield at a distances > R from the axis in the xy plane. It is acceptable to provide the answer in an integral form in this exam. Hint: Treat the glass rod as a stack of magnetic dipoles. FIGURE 5.66 >L/2

As shown in the figure, in the magnetic field directed inwards from the page plane, the current I passes on the bent wire with long edge, which is a, and with short edge, which is d. Write the net magnetic force on the wire in vector and find the direction.

A toroid is a solenoid bent into the shape of a doughnut. It looks similar to a toy Slinky® with ends joined to make a circle. Consider a toroid consisting of N turns of a single wire with current I flowing through it. (Figure 1) Consider the toroid to be lying in the re plane of a cylindrical coordinate system, with the z axis along the axis of the toroid (pointing out of the screen). Let represent the angular position around the toroid, and let r be the distance from the axis of the toroid. For now, treat the toroid as ideal; that is, ignore the component of the current in the direction. Figure 00 Ampèrean loop (a) 1 of 1 (b) Part A The magnitude of the magnetic field inside the toroid varies as a function of which parameters? ► View Available Hint(s) r only 0 only both r and Submit Part B Complete previous part(s) Part C Complete previous part(s) Part D In an ideal toroid, current would flow only in the and directions. The magnetic field in the central plane, outside of the coils of…

Consider a charged particle of charge q and mass m with a kinetic energy K = 100 eV that moves in a plane perpendicular to a uniform magnetic field B = 35,T. 1. Make a simple sketch of the situation and indicate or describe how the particle will move. Consider the cases of positive and negative charge. 2. Calculate the angular frequency w if the particle is an electron. 3. Calculate the radius of the path of the electron.

A toroid is a solenoid bent into the shape of a doughnut. It looks similar to a toy Slinky® with ends joined to make a circle. Consider a toroid consisting of N turns of a single wire with current I flowing through it. (Figure 1) Consider the toroid to be lying in the re plane of a cylindrical coordinate system, with the z axis along the axis of the toroid (pointing out of the screen). Let represent the angular position around the toroid, and let r be the distance from the axis of the toroid. For now, treat the toroid as ideal; that is, ignore the component of the current in the direction. Figure 00 Ampèrean loop (a) 1 of 1 (b) Correct Notice that the direction is antiparallel to the path shown by the Ampèrean loop in the figure. Also, by definition, ✩ × î = Ô. Part C What is B (r), the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid? Express the magnetic field in terms of I, μo (the permeability of free space), N, and r. ► View…

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)

Show the step please

Page 1 PROBLEM 1. A steady current / flows throughout the circuit shown below, consisting of two straight, semi-infinite lengths of wire joined by a semicircular piece (radius a). The entire circuit lies in a plane. Choose an appropriate coordinate system and calculate the magnetic field B at the point P, which is at the center of the semicircle in the plane of the circuit. Be sure to indicate on the drawing your choice of coordinate system. (Hint: Break the problem into pieces, find the contribution to the magnetic field from each piece and then add those together.]

A charged particle is moving in a magnetic field of intensity 0.01T with a velocity of 107m/s in circular path of radius 0.7 cm. Find out the specific charge of the particle [e/m] I.

Problem 4. R BA m Ꮎ N turns, carrying I A circular loop of wire with radius R, N turns, and total mass M carries a current I. It is pivoted about a line that passes through the loop as shown, then placed in a uniform magnetic field B = Bỏ2 so that its magnetic moment makes an initial angle of 0 << with the z-axis at time t = 0, and is then released. Describe its small-angle motion quantitatively. Note well that this arrangement has no angular momentum to speak of and will not precess!