(4) Consider an infinitely long wire oriented along the x-axis with current, I flowing in the -x direction. A square loop of wire with sidelength a is located next to this long wire such that the center of the square is at the point (d, d, 0). A circular loop of wire with radius a is located next to this long wire such that the center of the circle is at the point (-d, d,0). This setup is shown below. (a) The circular loop is slowly rotated about its axis. Is there current flowing in the circular loop? You don't need to specify the current direction. (b) The square loop is slowly rotated about its axis. Is there current flowing in the square loop? You don't need to specify the current direction. (c) The square loop is slowly moved in the +y direction. Is there current flowing in the square loop? If so, also specify which direction the current flows. (d) The circular loop is slowly moved in the +y direction. Is there current flowing in the circular loop? If so, also specify which direction the current flows. (e) While the square loop of wire is located at the the point (d, d, 0) a clockwise current I2 begins to flow through the loop. What is the net force on the square loop of wire?

The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.20 A out of the page and the current in the outer conductor is I, = 3.06 A into the page. Assuming the distance d = 1.00 mm, answer the following. (a) Determine the magnitude and direction of the magnetic field at point a. magnitude pT direction --Select-- (b) Determine the magnitude and direction of the magnetic field at point b. magnitude pT direction --Select---

Two insulated current-carrying straight wires of equal length are arranged in the lab so that Wire A carries a current northward and Wire B carries a current eastward, the wires crossing at their midpoints separated only by their insulation. Which of the following statements are true?

the current in the loop? approximately zero to its value of the magnitude of the torque t on the loop changes, The value of t is 6.4 m. is changed, (Total of the wire is not As the x is from wrapped a the of the can be (b) A loop carrying lies in the plane of a field of magnitude 0.040 T. The loop of a turn of is

Assume this page is perpendicular to a uniform magnetic field and the magnetic flux through it is 5Wb. If the page is turned by 30◦ around an edge, the flux through it will become: (2.5Wb, 4.3Wb, 5Wb, 5.8Wb, 10Wb.)

A current-carrying rectangular wire loop with width a = 0.115 m and length b = 0.220 m is in the xy-plane, supported by a nonconducting, frictionless axle of negligible weight. A current of I = 3.50 A travels counterclockwise in the circuit (see the figure below). Calculate the magnitude and direction of the force exerted on the left, right, top, and bottom segments of wire (in N) by a uniform magnetic field of 0.400 T that points in the positive x-direction. Find the magnitude of the net torque (in N · m) on the loop about the axis. (a) left segment of the wire magnitude N direction (b) right segment of the wire magnitude N direction (c) top segment magnitude N direction (d) bottom segment magnitude N direction (e) Find the magnitude of the net torque on the loop about the axle. N · m

Calculate the magnetic field near the center of a system of two coaxial plane circular circuits of radius R at the same distance d / 2 from the origin of coordinates through which currents of identical magnitude but with opposite directions flow.

Three infinitely long wires running perpendicular to the page carry currents I=250 mA (into the page), I2=100 mA (out of the page), and I =200 mA (out of the page). Suppose that d=0.150 m. What is the net force per unit length on the I wire? (Give the net force in terms of its x and y components, in units of Newtons per meter. Note lo = 4n x 10-7 Tm/A) I3 d a) x component? d