Lesson: Electric Potential Energy of a Charged Particle

In this lesson, we will learn how to use the electric fields of distribution of electric charges to determine the electrical potential energy of charges.

Sample Question Videos

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Worksheet: Electric Potential Energy of a Charged Particle • 13 Questions • 4 Videos

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 + 1 . 6 0 × 1 0 1 9 C.

Q2:

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 1 . 6 7 × 1 0 kg for the mass of the hydrogen ion.

Q3:

How much work is moving the first electron?

How much work is moving the second electron?

What is the electrostatic energy of the alpha particle and two electrons at their final positions?

Q4:

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?

Q5:

Two large charged plates of charge density ± 3 0 µC/m2 face each other at a separation of 5.0 mm. An electron is released from rest at the negative plate. At what speed will the electron be moving when it reaches the positive plate?

Electron charge is 1 . 6 0 × 1 0 1 9 C.

Q6:

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?

Q7:

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 0 . 5 2 9 × 1 0 1 0 m from it. Find the magnitude of work done moving the electron.

Q8:

An object with a charge 𝑞 = 2 . 0 µC is initially at rest at a distance of 2.0 m from a fixed charge 𝑄 = + 6 . 0 µC. What is the kinetic energy of the object when it is at a distance of 1.0 m from 𝑄 ?

Q9:

What is the speed of the protons?

How many protons are produced each second?

Q10:

Find the speed of electron at 0.10 cm from the negative plate.

Find the speed of electron at 0.50 cm from the negative plate.

Find the speed of electron at 1.0 cm from the negative plate.

Find the speed of electron at 1.5 cm from the negative plate.

Find the speed of electron immediately before it hits the positive plate.

Q11:

What distance from the particle corresponds to an electric potential of 120 V?

What distance from the particle corresponds to an electric potential of 3 . 0 × 1 0 2 V?

Q12:

What is the electric potential that one fragment has due to its position relative to the other fragment when at the separation distance?

What is the electric potential energy of one fragment due to its position relative to the other fragment when at the separation distance?

Q13:

If a beam of protons were to gain its kinetic energy in only one pass through a potential difference to move with the speed of 0.400 𝑐 , how high would this potential difference have to be?

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