7. Suppose that the total energy of spins is E = Eo - MB where the first term does not depend on the magnetic field B and magnetization M of the system. Show that the form of magnetic susceptibility can be expressed as X = = (OB) = 1 ;(< M² > − < M >²) kT
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- 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 UnitsHow the Biot-Savart Law Differs from Ampère's Law A current Io flows up the z-axis from z = z, to z = 22 as shown below. %3D Z2 (a) Use the Biot-Savart law to show that the magnetic field in the z = 0 plane is Ho lo {cos 02 – cos 01}6. 4π ρ B(p, 6, 0) = |4+ 71. In Millikan's experiment, a potential difference of 2.0 is applied between the two plates, which are 8 mm apart, to balance an oil drop of mass 4.9 × 10-4 kg. Calculate the number of elementary charges on the drop (g = 10 m/s²). (7.6) m 106 mlo enters a 0.800 T. (8.2) TI (a) Determine the magnitude of the magnetic 101 exerted on the proton. (h) Dorcriho th tolro tho proton as it stays OFF /NO 2nd F CA MODE STAT VAR ALPHA SNI DEL SET UP RESET arc hypNOT sin1AND cos OR tan XOR DRGXNOR dhy sin COS DRG D 10 E A uj DEG STO Exp abc D°M'S DATA CD. -xy oy RANDOM re 6 sx*nPr ox CHEX CBINr ju 5. 2. 1. ANS 3. DEC
- For Nickel the number density is 8×10 atoms / cm' and electronic configuration is 1s 2s 2p°3s²3p°3d* 4s² . The value of the saturation magnetization of Nickel in its 6 - ferromagnetic state is x10° A/ m. (Given the value of Bohr magneton µ, = 9.21x10" Am? )If an electron in an atom has an orbital angular momentum with m₁ = 4, what are the components (a) Lorb,z and (b) µorb,z? If the atom is in an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m₁ = -2, what are (e) Lorb,z, (f) Horb,z, (g) the potential energy orb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i Units (f) Number امل Number Hi Units Units > >Atomic masses 12C 14N 160 12.000 u 14.003 u 15.995 u -19 To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion O₂? The atomic masses are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u = 1.6605 × 10−27 kg, e = 1.6022 × 10¯ C. Express your answer with the appropriate units. ► View Available Hint(s) fo Submit Part B X Incorrect; Try Again; 14 attempts remaining fN₂ = Value Submit Previous Answers To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion N₂ ? Express your answer with the appropriate units. ► View Available Hint(s) Part C Units Value Units ? Review Although N+ and CO+ both have a nominal molecular mass of 28, they are easily distinguished by virtue of their slightly different cyclotron frequencies. To five significant figures, what is the cyclotron frequency in a 3.0000 T…