Question

1. An electron is moving through a magnetic field whose magnitude is 8.99 × 10-4 T. The electron experiences only a magnetic force and has an acceleration of magnitude 3.22 × 1014 m/s2. At a certain instant, it has a speed of 8.44 × 106 m/s. Determine the angle (less than 90o) between the electron's velocity and the magnetic field.

2.Suppose that an ion source in a mass spectrometer produces
*doubly* ionized gold ions (Au^{2+}), each with a
mass of 3.27 x 10^{-25} kg. The ions are accelerated from
rest through a potential difference of 1.32 kV. Then, a 0.648-T
magnetic field causes the ions to follow a circular path. Determine
the radius of the path.

Answer #1

An electron follows a helical path in a uniform magnetic field
of magnitude 0.400 T. The pitch of the path is 4.02 μm, and the
magnitude of the magnetic force on the electron is 1.86 ×
10-15N. What is the electron's speed?

An electron is moving through a magnetic field whose magnitude
is 9.79

Atom 1 of mass 30.9 u and atom 2 of mass 32.2 u are both singly
ionized with a charge of +e. After being introduced into a
mass spectrometer (see the figure below) and accelerated from rest
through a potential difference V = 7.40 kV, each ion
follows a circular path in a uniform magnetic field of magnitude
B = 0.570 T. What is the distance Δx between the
points where the ions strike the detector?

An electron moves in a circular path perpendicular to a magnetic
field of magnitude 0.265 T. If the kinetic energy of the electron
is 4.50 ✕ 10−19 J, find the speed of the electron and
the radius of the circular path.
(a) the speed of the electron
m/s
(b) the radius of the circular path
μm

An electron enters a region of space containing a uniform
1.27×10^−5 T magnetic field. Its speed is 157 m/s and it enters
perpendicularly to the field. Under these conditions, the electron
undergoes circular motion. Find the radius ? of the electron's path
and the frequency ? of the motion.

A laboratory electromagnet produces a magnetic field of
magnitude 1.39 T. A proton moves through this field with a speed of
6.16 106 m/s.
(a) Find the magnitude of the maximum magnetic force that could
be exerted on the proton. N
(b) What is the magnitude of the maximum acceleration of the
proton? m/s2
(c) Would the field exert the same magnetic force on an electron
moving through the field with the same speed? Yes No
Explain.
(d) Would the...

A laboratory electromagnet produces a magnetic field of
magnitude 1.49 T. A proton moves through this field with a speed of
5.88 ✕ 106 m/s.
(a) Find the magnitude of the maximum magnetic force that
could be exerted on the proton.
____N
(b) What is the magnitude of the maximum acceleration of the
proton?
____m/s2
(c) Would the field exert the same magnetic force on an
electron moving through the field with the same speed? (Assume that
the electron is...

A laboratory electromagnet produces a magnetic field of
magnitude 1.44 T. A proton moves through this field with a speed of
5.98 ✕ 106 m/s.
(a) Find the magnitude of the maximum magnetic force that could
be exerted on the proton.
N
(b) What is the magnitude of the maximum acceleration of the
proton?
m/s2
(c) Would the field exert the same magnetic force on an electron
moving through the field with the same speed? (Assume that the
electron is...

1. An electron enters a magnetic field of magnitude 1.75T
directed vertically upward. If the electron’s initial velocity was
4.7x10^6 m/s, what is
a) the magnitude and direction of the magnetic force on the
electron.
b) the radius of its circular path.

An electron enters uniform magnetic field B= 0.20 T at angle 45
degrees to B with speed v=2.8*10^6 m/s. Find pitch (distance
between loops) of the electron's helical path.

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