A coil is placed next to a straight wire. The current in the wire is as shown in the diagram below. The coil and wire lie in the same plane with the +z axis perpendicular to the plane of the coil. (a) As the current in the wire increases, find the direction of the induced current in the coil by answering the following questions. (i) What is the direction of the magnetic field due to the current carrying wire in the center of the coil? +x, -x, +y, -y, +z, or -z?

The figure on the right shows two parallel loops of wire having a common ât axis. The smaller loop (radius r) is above the larger loop (radius R), by a distance x > R. Assume the magnetic field due to the current i in the larger loop is basically constant over the area of the smaller loop and equal to the value on the axis. 10. Suppose the smaller loop moves away from the larger loop at constant speed: x(t) = xo + Væt, with v, > 0, xo > 0. a) assuming its resistance is 12. Ignore any retardation effect. Find the magnitude and direction of the induced current in the smaller loop b) Is there a time t where the induced current is 0? Explain carefully your answer, using thAux of B.

A square wire loop is on the x and y plane with the center is located on the origin (zero), and the sides are 20cm long. The wire has a 5.0A current traveling clockwise. What is the magnetic field vector at the origin? What is the magnetic field vector at x=5cm, y=0cm? What is the magnetic field vector at x=15cm, y=0cm?

A uniform magnetic field passes through a horizontal circular wire loop at an angle 19.5° from the normal to the plane of the loop. The magnitude of the magnetic field is 4.75 T, and the radius of the wire loop is 0.240 m. Find the magnetic flux through the loop. $= Wb