Review. A fundamental property of a type 1 superconducting material is perfect diamagnetism, or demonstration of the Meissner effect, illustrated in Figure 29.27 in Section 29.6 and described as follows. If a sample of superconducting material is placed into an externally produced magnetic field or is cooled to become superconducting while it is in a magnetic field,
A vertical solenoid with a length of 120 cm and a diameter of 2.50 cm consists of 1 400 turns of copper wire carrying a counterclockwise current (when viewed from above) of 2.00 A as shown in Figure P31.48a. (a) Find the magnetic field in the vacuum inside the solenoid. (b) Find the energy density of the magnetic field. Now a superconducting bar 2.20 cm in diameter is inserted partway into the solenoid. Its upper end is far outside the solenoid, where the magnetic field is negligible. The lower end of the bar is deep inside the solenoid. (c) Explain how you identify the direction required for the current on the curved surface of the bar so that the total magnetic field is zero within the bar. The field created by the supercurrents is sketched in Figure P31.48b, and the total field is sketched in Figure P31.48c. (d) The field of the solenoid exerts a force on the current in the superconductor. Explain how you determine the direction of the force on the bar. (e) Noting that the units J/m3 of energy density are the as the units N/m2 of pressure, calculate the magnitude of the force by multiplying the energy density of the solenoid field times the area of the bottom end of the superconducting bar.
Figure P31.48
Want to see the full answer?
Check out a sample textbook solutionChapter 32 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardThe Hall effect is to be used to find the density of charge carriers in an unknown material. A Hall voltage 40 V for 3-A current is observed in a 3-T magnetic field far a rectangular sample with length 2 cm, width 1.5 cm, and height 0.4 cm, Determine the density of the charge carriers.arrow_forwardThe force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?arrow_forward
- Please type instead of hand writtingarrow_forwardThe angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located at position r is defined in the form L = dmr x v = dvpr x v, p= nm where n is the number of particles per unit volume and m is its mass. If each of the particles has a charge q, with their movement they constitute a current J = nqv Show that the relationship between the magnetic dipole moment and the angular momentum is L m = 2m where the magnetic moment is defined m = dvr x Jarrow_forwardA Paramagnetic material has 1028atoms/m3. The magnetic moment of each atom is 2.8 × 10−23Am3.Calculate the Paramagnetic susceptibility at 200K. What would be the dipole moment of a bar of this material 1meter long and 1square-cm cross-section placed in a field of 6 × 106A/marrow_forward
- An ion source is producing 6Li ions, which have charge +e and mass 9.99 × 10-27 kg. The ions are accelerated by a potential difference of 12 kV and pass horizontally into a region in which there is a uniform vertical magnetic field of magnitude B = 1.4 T. Calculate the strength of the smallest electric field, to be set up over the same region, that will allow the 6Li ions to pass through undeflected.arrow_forwardQ#02. A strip of copper 150um thick and 45cm wide is placed in a uniform magnetic field B of magnitude 0.85T, with B perpendicular to the strip. A current i = 2.3 mA is then sent to the strip such that a Hall potential difference V appears across the width of the strip. Calculate V. (the number of charge carriers per unit volume for copper is 8.47×108electrons/m³).arrow_forwardOResources A Give Up? 3.6% A beam of protons is directed in a straight line along the positive z-direction through a region of space in which there are crossed electric and magnetic fields. If the electric field magnitude is E = 430 V/m in the negative y-direction and the protons move at a constant speed of v = 8.7 x 10° m/s, what must the direction and magnitude of the magnetic field be in order for the beam of protons to continue undeflected along its straight-line trajectory? Select the direction of the magnetic field B. O positive y-direction O positive x-direction negative z-direction O negative y-direction O positive z-direction O negative x-direction magnitude of the magnetic field B: about us careers privacy policy terms of use contact us help 87°F Rain coming PrtScn F8 Home End F10 PgUp F11 PgDn F12 F3 F4 ES F6 F7 F9 8. %3D T. Y U * CO %24 14arrow_forward
- answer in 30 min! i will upvote!arrow_forwardQ. 1. A square of side L meters lies in the x-y plane in a region where the magnetic field is given by = B₁(21+3j+4k) Tesla, where Bo is constant. The magnitude of flux passing through the square is: (a) 2B L²Wb. (b) 3B L²Wb. (c) 4B L²Wb. (d) √√29B L²Wbarrow_forwardA fundamental property of a type I superconducting material is perfect diamagnetism, or demonstration of the Meissner effect, illustrated as shown and described as follows. If a sample of superconducting material is placed into an externally produced magnetic field or is cooled to become superconducting while it is in a magnetic field, electric currents appear on the surface of the sample. The currents have precisely the strength and orientation required to make the total magnetic field be zero throughout the interior of the sample. This problem will help you understand the magnetic force that can then act on the sample. pertaining to the force attracting a perfect dielectric into a strong electric field. A vertical solenoid with a length of 120 cm and a diameter of 2.50 cm consists of 1 400 turns of copper wire carrying a counterclockwise current (when viewed from above) of 2.00 A as shown. (a) Find the magnetic field in the vacuum inside the solenoid. (b) Find the energy density of…arrow_forward
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning