If the magnetic dipole moment of an atom is 1*10 ^24J/T, then this atom has a magnetic field of 10 Thow much does the potential energy change when placed? mline Sınavunikael Fizik II - FIZ196ru Listesi34-Bir atomun manyetik dipol momenti 1x10 J/T ise bu atomun 10 T lik bir manyetik alan içineyerleştirildiğinde potansiyel enerjisindeki değişim ne kadar olur?OA) ± 1x10¹ JO B)+ Lx10 2¹ J09± [x10ª³ JOD) + 1x10²5 JOE)Lx10¹3 J← ÖncekiSonraki -K

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6. A solid at temperature is placed in an external magnetic field B = 1 Tesla = 1 × 10¹ gauss. The solid contains weakly interacting paramagnetic atoms of spin 1/2, so that the energy of each atom is ±μB. a. If the magnetic moment is equal to one Bohr magneton, i.e., μ = h x 1.4 MHz/gauss, below what temperature must one cool the solid so that more than 75% of the atoms are polarized with their spins parallel to the external magnetic field? b. Suppose that one considered instead a solid which is free of paramagnetic atoms but contains many protons (e.g., paraffin). Each proton has spin 1/2 and a magnetic moment µp = h x 2.1 kHz/gauss. At the same temperature as you determined in part a., what fraction of protons will have their spins aligned parallel to the external magnetic field?
Assume the electron in a hydrogen atom is 53.0 pm from the nucleus of the atom, which consists of a single proton. (a) calculate the electrical force between the electron and the nucleus. (b) Calculate the gravitational force between the electron and the nucleus. (c) What is the ratio of the gravitational force to the electrical force?
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What potential difference is needed to accelerate a ⁹Be+³ ion from rest to a speed of 5 ×10⁵ m/s? NOTE: Feel free look up atomic number of Be on the periodic table. The mass number (given) is number of protons and neutrons combined.
If an electron in an atom has an orbital angular momentum with m¡ = 2, what are the components (a) Lorb,z and (b) µorb,z? If the atom is in an external magnetic field that has magnitude 44 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 Uorb 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 i Units (b) Number Units
5.6 1:01 IO 21%}0 4.ll Orange JO K/s A deuteron is accelerated from rest through a 10-kV potential difference and then moves perpendicularly to a uniform magnetic field with B = 1.6 T. What is the radius of the resulting circular path? (deuteron: m = 3.3 10-27 kg, q = 1.6 ´ 1019 C) a. 10 mm b. 19 mm с. 13 mm d. 9.0 mm e. 20 mm Previous page Next page - Sunday 20/12 Class Jump to... Quiz VI
Consider a simple hydrogen atom where an electron orbits around a proton. Suppose a small magnetic field is applied perpendicularly to the plane of orbit. Show that if the orbit radius does not change, then the angular velocity of the electron would change by Δω = t eB 2m
As per Bohr model of a hydrogen atom for a stable orbit centripetal, Coulomb, and all forces should be in equilibrium. Therefore, for an electron with mass me and speed v₁ on the nth orbit with radius rn, (k being Coulomb/s constant) mevn = ke²/rn mevn² = ke²/rn mevn²/rn = ke²/rn 2.2 Ome²v² = ke²/r²
The magnetism of permanent magnets arises because the inherent magnetic moment of electrons causes them to act like little compass needles. Protons also have an inherent magnetic moment, and this is the basis for magnetic resonance imaging (MRI) in medicine.Although a compass needle would prefer to align with a magnetic field, the needle can point in any direction. This isn’t the case for the magnetic moment of a proton. Quantum physics tells us that the proton’s energy must be quantized. There are only two possible energy levels—and thus two possible orientations—for protons in a magnetic field: E1 = -μB magnetic moment aligned with the field E2 = +μB magnetic moment aligned opposite the fieldwhere μ = 1.41 x 10-26 J/T is the known value of the proton’s magnetic moment. FIGURE 28.24 shows the two possible energy states. The magnetic moment, like a compass needle, “wants” to align with the field, so that is the lower-energy state.…
F.j = (-e)(-v,k) × (B,i + B.k) ev Bzj. Solving for B gives F. Br 8.50x10 16 N = 1.13 T. Therefore B = 1.13 Ti – 0.772 Tk. The magnitude o A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.70 km/s in the +x-direction experiences a force of 2.10x10-16 N in the +y- direction, and an electron moving at 4.70 km/s in the eve (1.60x10 19 C)(4700 m/s) is B = VB? + B = (1.13 T)² + (-0.772 T)² = 1.37 T. -z-direction experiences a force of 8.50x10-16 N in the +y-direction. Part B For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Magnetic force on a proton. What is the direction of the magnetic field? (in the xz-plane) Express your answer in degrees. 0 = 60.59 ° from the -z-direction to the +x-direction Submit Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining
If the speed of the electron in Example 19-4 were 7.3 * 105m>s,what would be the corresponding orbital radius?
Chapter 29: Magnetic Fields We studied how a moving charge would react in a magnetic field, which extends naturally to current where charges drift (hence moves) in a magnetic field. One special case of this is the torque due to current loops in magnetic fields: 7= μx B= IAX B since we defined the magnetic moment of a current loop as μ = IĀ. estimate the current that an electric car would have to provide to its motor such that it can do 0-100 kph in 3 seconds. Some useful hints for guidance are below: (1) . Find the acceleration using kinematics With the acceleration, what would be the torque needed for the motor to apply to the wheel? You need to estimate yourself the size of the wheel, as well as the size of the motor hub that is connected to the wheel. A simple electric motor has a permanent magnet, say of strength of 1 Tesla, and a coil acting as many current loops. You need to estimate the number of loops, you can google it just come up with a reasonable number. ● From this and…

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