PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 57P
(a)
To determine
The proof that average current is
(b)
To determine
The proof that relation between magnetic moment and
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A bismuth ball of radius r=5 mm is placed in a magnetic field of induction vector B=2*10^(-5) T. What is the magnetic moment of the ball? What is its direction? The magnetic susceptibility of bismuth is -7.6*10^(-4).
in what direction will the roop rotate (x-axis or y-axis) and torque magnitude given that it is a square loop with a side length of 4 cm with a current of 1.3 mA initially at rest and lies fltly within the xy plane with center at origin with a uniform magetic field of (2i +3k)mT and the magnetic moment point of the loop is to the k direction
The angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located
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Chapter 26 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81P
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- Show that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the external field. This work rotates the magnetic moment vector through an angle - d(toward the positive z-direction), where d is a positive angle change.)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_forwardA 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_forward
- A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment making angle θ with the field. With the arbitrary choice of U = 0 for θ = 90°, prove that the potential energy of the dipole-field system is .arrow_forwardA charge q is distributed uniformly around a thin ring of radius r.The ring is rotating about an axis through its center and perpendicular to its plane, at an angular speed v. (a) Show that the magnetic moment due to the rotating charge has magnitude m mw 1/2 qvr 2 . (b) What is the direction of this magnetic moment if the charge is positive?arrow_forwardTo understand why charged particles move in circles perpendicular to a magnetic field and why the frequency is invariant. A particle of charge q and mass m moves in a region of space where there is a uniform magnetic field B=B0k (ie a magnetic field of magnitude B0 in the +z direction) in this problme neglect any forces on the particle other than the magnetic force. (A) if the resulting trajectory of the charged particle is a circle, what was the angular frequency of the circular motion? Express angular frequency in terms of q,m, and B0.arrow_forward
- Consider an electron rotating in a circular orbit of radius r. Show that the magnitudes of the magnetic dipole moment μ and the angular momentum L of the electron are related by: μ/L = e/2m.arrow_forwardIf 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 Unitsarrow_forwardLet E be the electric field of magnitude 6.0x10^6 N/C and B be the magnetic fi electron is accelerated with a potential of 200 V, will it show zero deflection?arrow_forward
- Using the Right-hand rule, find the direction of the torque if the magnetic moment is along the +x axis and the magnetic field is along the +z axisarrow_forwardpleae show step by step for the solutionarrow_forwardR/ An electron ŷ moving în a circular orbit. Show thet the magnetic dipole moment generaded by the orbetal motion ý gwen by the relation et 京コー zMe c where i y the angular monentan th unit) f ĥ. Assume that the charge and d'istributed unformly along the or bet and egnore the Contribution From the intrinsic magreth dipde momeat - mass of the electron arearrow_forward
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