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a bar magnet of magnetic moment 6 J/T is aligned at 60 degree with a uniform...
A permanent magnet has a magnetic dipole moment of 0.120 A · m2. The magnet is in the presence of an external uniform magnetic field (provided by current-carrying coils) with a magnitude of 0.0800 T, which makes an angle of 18.0° with the orientation of the permanent magnet. (a) What is the magnitude of the torque (in N · m) on the permanent magnet? -------------- N . m (b) What is the potential energy (in J) of the system consisting...
A permanent magnet has a magnetic dipole moment of 0.150 A · m2. The magnet is in the presence of an external uniform magnetic field (provided by current-carrying coils) with a magnitude of 0.0800 T, which makes an angle of 19.0° with the orientation of the permanent magnet. a) What is the magnitude of the torque (in N · m) on the permanent magnet? b) What is the potential energy (in J) of the system consisting of the permanent magnet...
A bar magnet is oriented with its magnetic dipole moment at 33.1° to the direction of a 0.0301-T magnetic field, causing a torque of 0.00213 N·m to act on it. Find the magnitude of the magnet\'s magnetic dipole moment.
A bar magnet is oriented with its magnetic dipole moment at 30.7° to the direction of a 0.0107-T magnetic field, causing a torque of 0.00487 N·m to act on it. Find the magnitude of the magnet\'s magnetic dipole moment.
1. Magnetic field (B) exerts a torque on a magnetic moment (m)
(such as a magnet bar) to align the magnetic moment along the B-
field direction. In genreal, the vector torque is defined as:
t=mxB, with a magnitude of
, where
is the angle between m and B as shown in figure 1. However, in Eq.
(1) the magnitude of t is defined as
. What does the minus sign mean?
T = ITI = mBsinΘ
A magnetic dipole with a dipole moment of magnitude 0.0324 J/T is released from rest in a uniform magnetic field of magnitude 54.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.779 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle...
A magnetic dipole with a dipole moment of magnitude 0.0216 J/T is released from rest in a uniform magnetic field of magnitude 54.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.507 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle...
A small bar magnet (mass = 200 g, length = 15 cm) has a magnetic moment of 7.5 Am2. What is the maximum possible torque which could act on this magnet in a field of 5x10-5 T? A: 3.75x10^-4Nm
Suppose that the dipole moment associated with an iron atom of an iron bar is 1.7 × 10-23 J/T. Assume that all the atoms in the bar, which is 4.7 cm long and has a cross-sectional area of 1.4 cm2, have their dipole moments aligned. (a) What is the dipole moment of the bar? (b) What torque must be exerted to hold this magnet perpendicular to an external field of 1.4 T? (The density of iron is 7.9 g/cm3 and...
A slender, 340- g bar magnet 15.0 cm long has a magnetic moment of 5.90 A m2. It is held at an angle of 45 o to the direction of a uniform magnetic field. When released, it begins to rotate about its center with an initial angular acceleration of 5.89×103 rad/s2. What is the magnitude of the magnetic field?