Question

A magnetic dipole with a dipole moment of magnitude 0.0290 J/T is released from rest in a uniform magnetic field of magnitude 54.3 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 0.678 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle when the dipole is next (momentarily) at rest?

Answer #1

A dipole of moment 0.5 e·nm is placed in a uniform
electric field with a magnitude of 9 *
104 N/C. What is the magnitude of the torque on the
dipole when
(a) the dipole is parallel to the electric field,
(b) the dipole is perpendicular to the electric field, and
(c) the dipole makes an angle of 30 degrees with the electric
field?
(d) Find the potential energy of the dipole in the electric
field for each case.
theta...

The magnetic dipole moment of the Earth is 8.1 ✕ 1022
J/T. The density of the Earth's inner core is 14 g/cm3.
The magnetic dipole moment of of an iron atom is 2.1 ✕
10-23 J/T.
What fraction of the volume of the Earth would the
sphere occupy?'
If the origin of this magnetism were a magnetized iron sphere at
the center of the Earth, what would be its radius? (1.8 x 10^5)

A coil with a magnetic moment of 1.41 A?m2 is oriented initially
with its magnetic moment antiparallel to a uniform magnetic field
of magnitude 0.845 T .
Part A
What is the change in potential energy of the coil when it is
rotated 180 ? so that its magnetic moment is parallel to the
field?

All free electrons have a constant magnetic dipole moment with a
magnitude of 9.28 × 10-24 J/T.
A) What is the magnetic force between two electrons separated by
0.14 nm (the width of a small atom), if the dipole moments are
directed along a common line (like two bar magnets end-to-end)? In
Newtons
B) Now evaluate the force of electrical repulsion between two
electrons at the same distance, assuming the electrons are both
point charges, using Coulomb's Law. What is...

A circular ring with area 4.45 cm2 is carrying a current of 13.5
A. The ring, initially at rest, is immersed in a region of uniform
magnetic field given by B⃗ =(1.15×10−2T)(12i^+3j^−4k^). The ring is
positioned initially such that its magnetic moment orientation is
given by μ⃗ i=μ(−0.8i^+0.6j^), where μ is the (positive) magnitude
of the magnetic moment.
a) Determine the components of the initial magnetic torque of
the current carrying ring.
b) Find the change in potential energy from...

A positron with kinetic energy 1.60 keV is projected into a
uniform magnetic field of magnitude 0.140 T, with its velocity
vector making an angle of 83.0° with the field. Find (a) the
period, (b) the pitch p, and (c) the radius r of its helical
path.

9. An electron is accelerated from rest by a
potential difference of 350 V. It then enters a uniform magnetic
field of magnitude 200 mT with its velocity perpendicular to the
field. Calculate the angular momentum of the electron relative to
the center of the circle of rotation while circling perpendicular
to the magnetic field. (me = 9.1 x 10-31 kg
and e = 1.6 x 10-19 C).

A block of mass m=12 kg is released from rest on an incline with
a coefficient of kinetic friction 0.25, and at an angle θ=30◦ .
Below the block is a spring that can be compressed 2.5 cm by a
force of 280 N. The block momentarily stops when it compresses the
spring by 5.5 cm. (a) How far does the block move down the incline
from its rest position to this stopping point? (b) What is the
speed of...

QUESTION When an electron is released from rest in a constant
electric field, how does the electric potential energy associated
with the electron, and the kinetic energy of the electron, change
with time? (Select all that apply.)
options:The electric potential energy becomes more negative.The
electric potential energy becomes more positive.The kinetic energy
becomes more negative.The kinetic energy stays the same.The
electric potential energy stays the same.The kinetic energy becomes
more positive.
Use the worked example above to help you solve...

A proton accelerates from rest in a uniform electric field of
668 N/C. At some later time, its speed is 1.12 106 m/s. (a) Find
the magnitude of the acceleration of the proton. m/s2 (b) How long
does it take the proton to reach this speed? µs (c) How far has it
moved in that interval? m (d) What is its kinetic energy at the
later time? J

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