Question

- 24. An alpha (α) particle is positioned in an electric field such that the gravitational force acting on it is equal to the electrostatic force.

(q_{α} = 3.2 x 10^{–19} C and m_{α} = 6.64
x 10^{–27} kg)

a) What is the direction of the electric field at this point?

b) What is strength of the electric field?

c) If the field is located 0.25 m away, what is the magnitude of the charge?

- Determine the potential at a point 0.50 m from a 20. µC point charge.

- An electric field is parallel to the x-axis. What is the magnitude and direction of the electric field if the potential difference between x = 1.0 m and x = 2.5 m is found to be +900 V?

- A charged droplet of mass 5.88 x 10
^{–}^{10}kg is hovering motionless between two parallel plates. The parallel plates create have a potential difference of 24000 V and are 2.00 mm apart. What is the charge on the particle?

Answer #1

An electric field has an electric field strength 6000. N/C at a
distance of 1.5 m. What is the strength of the field at a distance
of 6.0 m?
24. An alpha (α) particle is positioned in an electric field
such that the gravitational force acting on it is equal to the
electrostatic force.
(qα = 3.2 x 10–19 C and mα = 6.64
x 10–27 kg)
a) What is the direction of the
electric field at this point?...

1.
It is Friday night and Dr. J's classroom is full of eager young
students. Yes, it's the weekly meeting of the Wizards of Oz, a club
for bright preteens interested in science. This particular night is
even more special because new members will be officially received
into the club. Dr. J had been attracted to the group over a year
ago and, after rubbing shoulders with the youngsters, his interest
was sparked. His attitude grew more positive over the...

To practice Problem-Solving Strategy 21.1 Conservation of energy
in charge interactions. An alpha particle (α), which is the same as
a helium-4 nucleus, is momentarily at rest in a region of space
occupied by an electric field. The particle then begins to move.
Find the speed of the alpha particle after it has moved through a
potential difference of −3.45×10−3 V . The charge and the mass of
an alpha particle are qα = 3.20×10−19 C and mα = 6.68×10−27...

An alpha particle (α), which is the same as a helium-4
nucleus, is momentarily at rest in a region of space occupied by an
electric field. The particle then begins to move. Find the speed of
the alpha particle after it has moved through a potential
difference of −3.45×10−3 V .The charge and the mass of
an alpha particle are qα = 3.20×10−19
C and mα = 6.68×10−27 kg ,
respectively.
Part A
Mechanical energy is conserved in the presence...

In zero gravity, a uniform electric field along the x axis
produces a force of -9.89 mN on a particle with a mass of 0.00356
kg and a charge of -11.5 μC.
a) What is the magnitude and direction of electric field?
b) How fast does the particle accelerate and in what
direction?
c) If the capacitor has square plates measuring 1.25 cm on each
side, how much charge is required to produce the electric
field?
Two resistors are placed...

In a region of space, there is an electric field. At a
particular point, the electric field is E = (5.0(i-hat) +
12(j-hat)) V/m. A point charge of −300 nC is placed at this
point.
What is the magnitude of the force on the point charge?
What is the x-component and y-component of the force on the
point charge?
What is the direction of the force on the point charge?

6. In zero gravity, a uniform electric field along the x axis
produces a force of -9.89 mN on a particle with a mass of 0.00356
kg and a charge of -11.5 μC.
a) What is the magnitude and direction of electric field?
b) How fast does the particle accelerate and in what
direction?
c) If the capacitor has square plates measuring 1.25 cm on each
side, how much charge is required to produce the electric
field?
7. Two resistors...

1. In zero gravity, a uniform electric field along the x axis
produces a force of -9.89 mN on a particle with a mass of 0.00356
kg and a charge of -11.5 µC.
a) What is the magnitude and direction of electric field?
b) How fast does the particle accelerate and in what
direction?
c) If the capacitor has square plates measuring 1.25 cm on each
side, how much charge is required to produce the electric
field?
2. Two resistors...

An α-particle has a charge of +2e and a mass of 6.64 ×
10-27 kg. It is accelerated from rest through a
potential difference that has a value of 1.45 × 106 V
and then enters a uniform magnetic field whose magnitude is 1.75 T.
The α-particle moves perpendicular to the magnetic field at all
times. What is (a) the speed of the α-particle,
(b) the magnitude of the magnetic force on it, and
(c) the radius of its circular...

An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg.
It is accelerated from rest through a potential difference that has
a value of 1.71 × 106 V and then enters a uniform magnetic field
whose magnitude is 1.54 T. The α-particle moves perpendicular to
the magnetic field at all times. What is (a) the speed of the
α-particle, (b) the magnitude of the magnetic force on it, and (c)
the radius of its circular...

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