An electron is moving with velocity U = i +j enters a region of uniform magnetic field Bo j. The velocity of the electron in the magnetic field region is

A high-voltage power line 20 m above the ground carries a current of 2000 A horizontally to the ground. What is the magnitude of the magnetic field at ground-level directly under the power line?

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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 = 7.84E2 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 speed of the particle after 7 periods of the cyclotron motion (in m/s)?

An electron beam passes through a region between two plates with a poten- a) tial difference giving rise to an electric field of E = 104 Vm-1. External coils give a magnetic field of B = 10-4 T in this region, at right angles to the electric field and to the electron beam. The electron beam is undeflected (follows a straight line) in this region. Calculate the velocity of the electrons.

The magnetic field inside a solenoid of circular cross section is given by B = bt k, where b = 2.0 T/ms . At timet = 0.36 us , a proton is inside the solenoid at a = 5.4 cm , y= z =0 , and is moving with velocity i = 4.6 j Mm/s. Find the electromagnetic force on the proton.

An electron travels at speed v into a perpendicular magnetic field B. The resulting path of the electron in the field is circular. Algebraically the q/m ratio can be determined by which of the following. q/m = v/Br q/m = Br/v q/m = vB/r q/m = vr/B

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.

An electron is launched at a speed of v at an angle of 0 north of east into a region with a uniform magnetic field. The magnitude of the magnetic field is B and the field is pointing due east. a) Find the radius of curvature of the trajectory. b) Find the pitch (the distance traveled during one revolution, perpendicular to the plane of circular motion) of the trajectory.

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