In Niels Bohr's 1913 model of the hydrogen atom, an electron circles the proton at a distance of 5.29 x 10-11 m with a speed of 2.19 x 106 m/s. Compute the magnitude of the magnetic field this motion produces at the location of the proton.
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- An alpha particle has a positive charge that is double the charge of a proton, and a mass of 6.64 ✕ 10−27 kg. At a particular instant, it is moving with a speed of 5.00 ✕ 106 m/s through a magnetic field. At this instant, its velocity makes an angle of 62° with the direction of the magnetic field at the particle's location. The magnitude of the field is 0.230 T. (a) What is the magnitude of the magnetic force (in N) on the particle? (b) What is the magnitude of the particle's acceleration (in m/s2) at this instant?A proton is accelerated in a particle accelerator from rest through a potential difference of 0.130 kV. If the proton then passes through a uniform magnetic field of magnitude 0.120 T that is perpendicular to the proton's path, what is the radius of the path that the proton will take through the magnetic field? Give your answer in cm. (The mass of a proton is 1.672*10^-27 kg.)The solar wind is a thin, hot gas given off by the sun. Charged particles in this gas enter the magnetic field of the earth and can experience a magnetic force. Suppose a charged particle traveling with a speed of 7.26 x 106 m/s encounters the earth's magnetic field at an altitude where the field has a magnitude of 1.75 x 10-7 T. Assuming that the particle's velocity is perpendicular to the magnetic field, find the radius of the circular path on which the particle would move if it were (a) an electron and (b) a proton.
- 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 pageA proton moves through a region containing a uniform electric field given by = 38.0 ĵ V/m and a uniform magnetic field = (0.200 î + 0.300 ĵ + 0.400 ) T. Determine the acceleration of the proton when it has a velocity = 170 î m/s.A beryllium-9 ion has a positive charge that is double the charge of a proton, and a mass of 1.50 ✕ 10−26 kg. At a particular instant, it is moving with a speed of 5.10 ✕ 106 m/s through a magnetic field. At this instant, its velocity makes an angle of 62° with the direction of the magnetic field at the ion's location. The magnitude of the field is 0.220 T. (a) What is the magnitude of the magnetic force (in N) on the ion? N (b) What is the magnitude of the ion's acceleration (in m/s2) at this instant? m/s2