Question

a) What is the charge-to-mass ratio of a particle traveling 3.60
x 10^{5} m/s that is deflected in an arc or radius 7.40 cm
as it travels through a magnetic field of 0.610 T ? answer in the
format of a.bc x 10^{d} C/kg

b) An alpha particle travels through a magnetic field of 0.422 T
perpendicular to the field. If the radius of arc of the deflected
particle is 1.50 x 10^{-3} m, what was the speed of the
alpha particle ? answer in the format of a.bc x 10^{d}
m/s

c) A proton travels through a magnetic field at a speed of 5.40
x 10^{5} m/s, perpendicular to the field. If the radius of
curvature is 7.20 mm, what is the magnetic field strength ? 4 digit
answer

d) Alpha particles travel undeflected through magnetic and
electric fields that are perpendicular to each other. If the speed
of the alpha particles was 7.80 x 10^{5} m/s and the
magnetic field strength was 0.220 T, what was the electric field
strength ? answer in the format of a.bc x 10^{d} m/s

Answer #1

A particle with charge q = 6.0 nC and mass
m = 3.0×10−11 kg which is initially at rest
accelerates through a potential difference V = 100 V and
enters into a region 0 < x < d, where there is a
uniform magnetic field of magnitude B = 1.5 T with
direction perpendicular to the plane of the paper and inward. Use
the coordinate system shown in the figure to answer the following
questions. (Gravitational force on the particle...

A beam of protons is moving in the +x direction with a
speed of 13 km/s through a region in which the electric field is
perpendicular to the magnetic field. The beam of protons is not
deflected in this region. The magnetic field has a magnitude of 0.8
T and points in the +y direction. Therefore, the magnitude
of the electric field is 11.570 V/m (= (13 x 10³ m/s) (0.8T)) and
the direction is along the negative z-axis.
What...

An alpha particle travels at a velocity of magnitude 820 m/s
through a uniform magnetic field of magnitude 0.038
T. (An alpha particle has a charge of charge of
+3.2 × 10-19
C and a mass 6.6 ×
10-27 kg) The
angle between the particle's direction of motion and the magnetic
field is 69°.
What is the magnitude of
(a) the force acting on the particle due to the
field,
(b) the acceleration of the particle due to
this force?...

A particle that has an 8.9-µC charge moves with a velocity of
magnitude 3.0 105 m/s along the +x axis. It experiences no magnetic
force, although there is a magnetic field present. The maximum
possible magnetic force that the charge with the given speed could
experience has a magnitude of 0.43 N. Find the magnitude and
direction of the magnetic field. Note that there are two possible
answers for the direction of the field.

(1 )An alpha particle (q = +2e, m =
4.00 u) travels in a circular path of radius 6.62 cm in a uniform
magnetic field with B = 1.19 T. Calculate
(a) its speed, (b) its period of
revolution, (c) its kinetic energy, and
(d) the potential difference through which it
would have to be accelerated to achieve this energy.
2) A proton travels through uniform magnetic and electric
fields. The magnetic field is in the negative x direction
and...

A charged particle is in continuous circular motion in a plane
perpendicular to a magnetic field. Draw a sketch with the magnetic
field pointing into the page, and the particle travelling
counter-clockwise in the plane of the page. Given a radius of
motion of 0.0231 m, a magnetic field strength of 0.00500 T, a mass
of 8.84 x 10-26 kg on the particle, and a linear speed
of 209 m/s, determine the magnitude and sign of the particle’s
charge.

An alpha particle with mass of 6.64 x10-27 kg and a
charge of +2e is moving horizontally with a velocity of 2.5 x
105 m/s as it goes through a small opening in the middle
of two charged conducting plates. If the plates are spaced 15 cm
apart, what is the strength of the electric field needed to stop
the particle before it hits the opposite plate?

include working in all your answers;
1a) A +5μC test charge is placed 2 m away from a sphere
charged to -3mC. What is the force exerted on the test charge? What
is the size of the electric field?
b) An electron with kinetic energy 1.50 keV circles in a
plane perpendicular to a uniform magnetic field. The orbit radius
is 35.0 cm. Find (a) the speed of the electron, (b) the magnetic
field, (c) the frequency of circling, and...

(A) At what speed (in m/s) will a proton move in a circular path
of the same radius as an electron that travels at 7.10 ✕ 106 m/s
perpendicular to the Earth's magnetic field at an altitude where
the field strength is 1.10 ✕ 10−5 T?
(B) What would the radius (in m) of the path be if the proton
had the same speed as the electron?
(C) What would the radius (in m) be if the proton had the...

(a) At what speed (in m/s) will a proton move in a circular path
of the same radius as an electron that travels at 7.00 ✕ 10^6 m/s
perpendicular to the Earth's magnetic field at an altitude where
the field strength is 1.05 ✕ 10^−5 T? (b) What would the radius (in
m) of the path be if the proton had the same speed as the electron?
(c) What would the radius (in m) be if the proton had the...

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