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Lesson: Electric Potential Energy of a Charged Particle

Worksheet: Electric Potential Energy of a Charged Particle • 10 Questions

Q1:

An ion with twice the charge of an electron is accelerated from rest to a kinetic energy of 32.0 keV by the electric field between two parallel conducting plates. If the plates are separated by a distance of 2.00 cm, what is the electric field strength between the plates?

Proton charge is C.

  • A V/m
  • B V/m
  • C V/m
  • D V/m
  • E V/m

Q2:

An object with a charge µC is initially at rest at a distance of 2.0 m from a fixed charge µC. What is the kinetic energy of the object when it is at a distance of 1.0 m from ?

Q3:

A negative hydrogen ion is a hydrogen atom containing two electrons. An electron and a negative hydrogen ion are accelerated through the same potential. Find the ratio of their speeds after acceleration, assuming the speeds are non-relativistic. Use a value of kg for the mass of the hydrogen ion.

Q4:

An electron is to be accelerated in a uniform electric field having a strength of .

What energy in keV is given to the electron if it is accelerated through 0.400 m?

Over what distance would it have to be accelerated to increase its energy by 50.0 Gev?

Q5:

An object has a mass of 6.0 µg. The object has a charge +3.0 µC. The object is moving in the space neighbouring a fixed +5.0 µC charge.

What is the potential energy of the object at a distance of 4.0 cm from the fixed charge?

If the object starts accelerating from rest at a point 4.0 cm from the fixed charge, what speed will the object have when it is 8.0 cm away from the fixed charge?

Q6:

To form a hydrogen atom, a proton is fixed at a point and an electron is brought from an effectively infinite distance from the proton to a distance of m from it. Find the magnitude of work done moving the electron.

  • A J
  • B J
  • C J
  • D J
  • E J

Q7:

A beam of protons is produced by a Van de Graaff generator. The beam produces a 5.00 mA current and the protons in the beam have energies of 1.00 keV.

What is the speed of the protons?

  • A m/s
  • B m/s
  • C m/s
  • D m/s
  • E m/s

How many protons are produced each second?

  • A
  • B
  • C
  • D
  • E

Q8:

To form a helium atom, an alpha particle that contains two protons and two neutrons is fixed at one location, and two electrons are brought in from far away, one at a time. The first electron is placed at m from the alpha particle and held there while the second electron is brought to m from the alpha particle on the other side from the first electron, as shown.

The charge of an electron is C and the charge of a proton is C.