A horizontal rectangular surface has dimensions 3.25 cmcm by 3.90 cmcm and is in a uniform magnetic field that is directed at an angle of 29.0 ∘∘ above the horizontal. What must the magnitude of the magnetic field be to produce a flux of 4.10 ××10−4−4 WbWb through the surface?

A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 3.65E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the radius of the cyclotron orbit trajectory that this particle will move along (in m)?

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 = 30° above the ry-plane. Find the radius r and the pitch p of the electron's spiral trajectory. z 4 V

AS0.0-g metal ball having net charge Q = 5.50 µC is thrown out of a window horizontally north at a speed v = 22.0 m/s. The window is at a height h = 18.0 m above the ground. A uniform, horizontal magnetic field of magnitude B = 0.0100 T is perpendicular to the plane of the ball's trajectory and directed toward the west. (a) Assuming the ball follows the same trajectory as it would in the absence of the magnetic field, find the magnetic force acting on the ball just before it hits the ground. (Let the +x-direction be toward the north, the +y-direction be up and the +z-direction be east.) B. (b) Based on the result of part (a), is it justified for three-significant-digit precision to assume the trajectory is unaffected by the magnetic fleld? O Yes O No Explain.