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A beam of electrons moving with speed v = 2.6 × 10’m/s enter and then leave the rectangular region of the magnetic field, as shown below. The trajectory of electrons is a quarter of a circle of radius R= 0.020 m. Mass of electron m = 9.11 x 10-31 kg, charge of electron charge q = 1.6 × 10-19 C). The magnitude and direction of the magnetic field are: %3D %3D the region of the magnetic field a. 0.45 T, perpendicular to the page, into the page Ob. 0.74 T, perpendicular to the page, out of the page Oc. 0.45 T, perpendicular to the page, out of the page С. O d. 0.074 T, perpendicular to the page, into the page e. 0.68 T, perpendicular to he page, into the page

A singularly-charged ion (i.e. a neutral atom which has gained one electron) with kinetic energy of 7x10−15 J follows a circular path of radius 0.6m when placed in a magnetic field of 0.5T.   (Note that the charge of an electron is e = 1.6 x 10−19 C.)   a) Using the fact that the ion is going in a circular motion in a magnetic field, what is the ion’s momentum (in kg.m/s)? b) What is the ion’s speed (in m/s)? c) What is the ion’s mass (in kg)? d) An electric field is added to the experiment and adjusted so that the ion passes through without any deflection. What is the magnitude of this electric field (in T)?

A wire of length L = 0.15 m and mass m = 0.045 kg carries a current of I = 0.25 A. The wire is floating at rest in a magnetic field as shown in the figure. Calculate the numerical value of B in tesla.

One long wire lies along an x axis and carries a current of 62 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 5.8 m, 0), and carries a current of 59 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 1.8 m, 0)? Number i 0.00000295 Units

In 1897, the English physicist J. J. Thomson used crossed electric and magnetic fields to measure the charge to mass ratio of electrons. (A) Determine the ratio in SI units. (B) Determine the charge to mass ratio of a proton. (C) In one experiment, electrons are accelerated to speed v by an electric field E, and are then deflected by a magnetic field B. For the parameters given below, calculate the radius of the circular arc in the magnetic field. electric field = = 2.85 kV/cm; distance of the acceleration = 0.84 m; magnetic field = 0.08 T ]