An infinitely large plane carries uniform surface current density of magnitude K. Find the magnetic flux through a cube with sides of length L whose bottom side resides a distance d directly above the plane. O 3HOKL² 6BL2 zero HOKL2

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 ô = 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory. Z B 4

An infinitely long wire carries a current of I = 160 A. Consider a circle with a radius r and centered on the wire. Determine the magnitude of the magnetic field B at points along the circle in terms of I and r.

A 17-A current is uniformly distributed in a wire with a diameter of 9.17 mm. Find the magnetic field magnitude (in μT) a distance of 3.02 mm from the wire's center.

An evacuated long tube contains a beam of electrons. The tube terminates on the center of a face of a cubic region in which there is a uniform magnetic field perpendicular to the tube. If the electrons exit from the center of an adjacent face of the cube (not the opposite face), what speed must the electrons have if the field strength is 45.0 gauss? Please include a diagram for the problem.