12:01Path of charged particle in magnetic field | Moving charges & magnetism | Physics | Khan AcademyKhan Academy India - English428views
12:37Uniform Circular Motion in a Magnetic Field (Charged Particle Trajectory, Cyclotron/Accelerator)Elucyda394views
Textbook QuestionA beam of protons traveling at 1.20 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (Fig. E27.24) . The beam travels a distance of 1.18 cm while in the field. What is the magnitude of the magnetic field?547views1rank
Textbook QuestionIn a cyclotron, the orbital radius of protons with energy 300 keV is 16.0 cm. You are redesigning the cyclotron to be used instead for alpha particles with energy 300 keV. An alpha particle has charge q = +2e and mass m = 6.64x10^-27 kg. If the magnetic field isn't changed, what will be the orbital radius of the alpha particles?487views
Textbook QuestionA deuteron (the nucleus of an isotope of hydrogen) has a mass of 3.34x10^-27 kg and a charge of +e. The deuteron travels in a circular path with a radius of 6.96 mm in a magnetic field with magnitude 2.50 T. (a) Find the speed of the deuteron. (b) Find the time required for it to make half a revolution. (c) Through what potential difference would the deuteron have to be accelerated to acquire this speed?793views
Textbook QuestionCyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. These cyclotrons typically accelerate H- (the hydride ion, which has one proton and two electrons) to an energy of 5 MeV to 20 MeV. This ion has a mass very close to that of a proton because the electron mass is negligible—about 1/2000 of the proton's mass. A typical magnetic field in such cyclotrons is 1.9 T. (a) What is the speed of a 5.0-MeV H-? (b) If the H- has energy 5.0 MeV and B = 1.9 T, what is the radius of this ion's circular orbit?1530views1rank
Textbook Question(II) What strength of magnetic field is used in a cyclotron in which protons make 3.5 x 10⁷ revolutions per second?61views
Textbook QuestionA particle of charge q moves in a circular path of radius r perpendicular to a uniform magnetic field B. Determine its linear momentum in terms of the quantities given.59views
Textbook QuestionSuppose the Earth’s magnetic field at the equator has magnitude 0.50 x 10⁻⁴ T and a northerly direction at all points. Estimate the speed a singly ionized uranium ion ( m = 238 u, q = e) would need to circle the Earth 5.0 km above the equator. Can you ignore gravity? [Ignore relativity.]63views
Textbook QuestionA proton and an electron have the same kinetic energy upon entering a region of constant magnetic field. What is the ratio of the radii of their circular paths?49views
Textbook Question(I) What is the value of q/m for a particle that moves in a circle of radius 8.0 mm in a 0.46-T magnetic field if a crossed 320-V/melectric field will make the path straight?33views
Textbook Question(II) For a particle of mass m and charge q moving in a circular path in a magnetic field B, (a) show that its kinetic energy is proportional to r² , the square of the radius of curvature of its path. (b) Show that its angular momentum is L=qBr² , around the center of the circle.61views
Textbook Question(II) A particle of charge q moves in a circular path of radius r in a uniform magnetic field B (→ above B) . If the magnitude of the magnetic field is doubled, and the kinetic energy of the particle remains constant, what happens to the angular momentum of the particle?53views
Textbook Question(II) A 720-KeV (kinetic energy) proton enters a 0.20-T field, in a plane perpendicular to the field. What is the radius of its path? See Section 23–8.46views
Textbook Question(II) A circular coil 18.0 cm in diameter and containing twelve loops lies flat on the ground. The Earth’s magnetic field at this location has magnitude 5.50 x 10⁻⁵ T and points into the Earth at an angle of 54.0° below a line pointing due north. If a 7.10-A clockwise current passes through the coil, (a) determine the torque on the coil; (b) which edge of the coil rises up : north, east, south, or west? 46views
Textbook QuestionA proton follows a spiral path through a gas in a uniform magnetic field of 0.010 T, perpendicular to the plane of the spiral, as shown in Fig. 27–59. In two successive loops, at points P and Q, the radii are 10.0 mm and 8.5 mm, respectively. Calculate the change in the kinetic energy of the proton as it travels from P to Q, in eV.<IMAGE>39views
Textbook Question(II) An electron enters a uniform magnetic field B=0.28 T at a 45° angle to B (→ above B). Determine the radius r and pitch p (distance between loops) of the electron’s helical path assuming its speed is 2.2 x 10⁶ m/s . See Fig. 27–48.<IMAGE>17views
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