Atom 1 of mass 30.3 u and atom 2 of mass 32.7 u are both singly ionized with a charge of +e. After being introduced into a mass spectrometer (see the figure below) and accelerated from rest through a potential difference V = 6.22 kV, each ion follows a circular path in a uniform magnetic field of magnitude B=0.757 T. What is the distance Ax between the points where the ions strike the detector? Detector
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- Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's body to form images. a) To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the current needed in a 420-loop-per-meter circular coil 0.66 m in radius to create a 1.3 T field (typical of an MRI instrument) at its center with no iron present. /= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small…-12 F/m. Magnetic 12.566370614356 × 10¬7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb 8.987 x 10° N · m² /C². Vacuum permitivity, €o = 8.854 × 10 Use the following constants if necessary. Coulomb constant, k Permeability of vacuum, µo The flux oE = 17 N · m² /C through the open surface A = 7i + 4j+ 2k is given. Find the value of a if the electric field is E = -ai +7k Value of "a" Give your answer up to at least three significance digits.Atom 1 of mass 35 u and atom 2 of mass 37 u are both singly ionized with a charge of +e. After being introduced into a mass spectrometer (see the figure below) and accelerated from rest through a potential difference V = 7.4 kV, each ion follows a circular path in a uniform magnetic field of magnitude B = 0.30 T. What is Δx, the distance between the points where the ions strike the detector? _____________m (please show units so that I can follow easier)
- An electron is placed in a magnetic field B that is directed along a z axis. The energy difference between parallel and antiparallel alignments of the z component of the electron's spin magnetic moment with B is 5.30 x 10-25 J. What is the magnitude of B ? Number i Unitscan you please ans (a) (b) (c)?An electron is accelerated from rest through a potential difference V after which it enters a region having a magnetic field of magnitude B and direction perpendicular to the electron's velocity. The radius of the electron orbit in this magnetic field is given by: meV 2BN e 2m, V Be 2m. VB O 1 2m.V B e O 1 meV BV 2e O there is not enough information to determine 2m.V BV O none of these
- The Bainbridge spectrometer works by ionizing particles, sending them through a velocity selector, and then detecting a given charge-to-mass ratio based on its trajectory in a uniform magnetic field (See Ch 11.7 in your book). Suppose your spectrometer works by altering the electric field of the velocity selector to scan for ions. If a singly-charged ion of mass 140.9 amu required an electric field of 1.9 N/C, what electric field would be necessary to detect a doubly-charged ion of mass 161.9? Give your answer in units of N/C.A proton travels clockwise in the plane of the page under the influence of a magnetic field of 3T a) If the particle has an energy of 10-15J, find the radius of the circle b) What is the direction of the field? c) A long wire carries a current of 10A. A closed loop, in the form of a rectangle with the dimensions in the figure carries a current of 4 A. The side of the loop nearest the wire is 1mm from the wire. Find the force on the loop.