Describe the motion and explain the energy conversions that are involved when an positive charge displace in a uniform electric field, be sure your discussion include the following words: electrical potential energy, work and potential energy

1. The fundamental
science
Professor Eddy

2. Question
Describe the motion and explain the energy conversions that are involved when
an positive charge displace in a uniform electric field, be sure your discussion
include the following words: electrical potential energy, work and potential energy

3. When a positive charge is placed in a uniform electric field, it experiences a force
that causes it to move, and its electrical potential energy is converted into kinetic
energy. The amount of work done on the charge by the electric field is equal to the
change in its kinetic energy, verifying the work-energy theorem.

4. 1
Concept Definitions
Electrical potential energy is the energy that a charge possesses due to its position in an electric field. The work done on a charge is the force exerted on it
times the distance over which the force is exerted. The kinetic energy of a charge is related to its velocity, where a higher velocity means more kinetic energy.
02
Motion of the Charge
When a positive charge placed in a uniform electric field, it experiences a force exerted by the field. This force causes the charge to move. Since the field is
uniform, the force the charge experiences is constant, which leads to a constant acceleration.
03
Energy Conversions
Initially, the charge has electrical potential energy due to its position in the electric field. As the charge starts moving under the influence of the force it
experiences, this electrical potential energy is converted into kinetic energy. The work done on the charge by the electric field is equal to the change in kinetic
energy the charge experiences. Thus, potential energy is converted into kinetic energy, which evidences the work-energy theorem that states the work done on
an object is equal to the change in its kinetic energy.

5. Question
If a point charge is displaced perpendicular to a uniform electric field, which of the
following expressions is likely to be equal to the change in electrical potential energy?

6. The answer is b. 0

7. In a uniform electric field, potential energy changes only when there is a displacement parallel to the direction of the field. A displacement perpendicular to the field won't cause any change in
electrical potential energy.
02
Option a involves displacement
𝑑
and charge
𝑞
interacting with electric field
𝐸
, implying a change in potential energy. Similarly, Option c involves inverse square law with constants relating to potential energy due to a point charge which does not relate directly to our
problem since we are not considering displacement along the direction of electric field. Both these options can be discarded because they imply that there is a change in potential energy.
03
The correct answer should reflect the fact that there is no change in potential energy when displacement is perpendicular to the electric field. Therefore, the only valid option is 0.

8. Question
difference between electric potential and electric potential energy

9. The main difference between the electric potential and electric potential energy is that in electric
potential we find the work done in bringing the unit test charge while in electric potential energy we
find out the energy needed to move the test charge in the electric field.

10. Question
difference between electric potential and potential difference

11. Key Difference Between Electric Potential and Potential Difference. Electric potential is the work
done per unit charge to get a charge from infinity to a point in an electric field, Potential difference
is the potential created when transferring a charge from one point in the field to another.

12. Question
at what location in relationship to a point charge is the electric potential consider
by convention to be zero

13. The location at which the electric potential is considered to be zero in relation to a point charge is, by
convention, at an infinite distance away from the point charge.

14. Understand the concept of electric potential
Electric potential at a point in an electric field is defined as the amount of work done to bring a unit positive charge from
infinity to that point. It is denoted by the symbol V and its SI unit is Volts.
02
Identify point of zero electric potential
By standard convention, when dealing with electric potential, we consider potential at infinity as being zero. It's understood
like this because hypothetical work done to bring a charge 'in' from infinity (where there is by convention no influence from
the field) can be set to zero.

15. Question
If the electric field in some region is zero, must the electric potential considered by convention to be zero?

16. no; the point of zero electric potential can be chosen anywhere

17. Question
if a proton is released from rest in a uniform electric field, does the corresponding electric potential at the proton's changing
locations increase or decrease? What about the electrical potential energy?

18. decrease; decrease

19. Question
The magnitude of a uniform electric field between two plates is about
1.7×106N/C.
If the distancebetween these plates is
1.5cm,
find the potential difference between the plates.

20. The potential difference between the two plates is 25500 V.

21. The magnitude of the electric field is given to be 1.7×106N/C and the distance between
𝐸
the plates is 1.5cm, which is equal to 0.015m, since we preferably work in SI units.
𝑑
02
Using the formula
𝑉= , we substitute the given values into the formula. This gives
𝐸𝑑
𝑉=1.7×106N/C×0.015m
03
Calculating the potential difference
Doing the multiplication, we find that
𝑉=25500V
.

22. Question
Consider charges placed at the corners of a rectangle. Find the electric potential at point P due to the grouping
of charges at the other corners of the rectangle. The Coulomb constant is 8.98755 √ó?

23. Final answer:
The electric potential at a point P due to charges at the corners of a rectangle is calculated by summing the electric potentials due to
each individual charge using Coulomb's law. This involves calculating the electric field created by each charge at point P and adding
them together.
Explanation:
The electric potential at a point P due to charges present at the corners of a rectangle can be determined using the equation V = kQ/r,
where V is the electric potential, K is Coulomb's constant (8.99 × 10 Nm²/C²), Q is the charge, and r is the distance from the charge
⁹
to the point P.
The total potential at the point P would be the sum of potentials because of each of the charges, since electric potential is a scalar
quantity. Each of these charges q creates its own electric field at point P that follow the superposition principle, meaning those
electric fields add together to create the total electric field at point P.
In this specific scenario with charges on the corners of a rectangle, one must consider the distances from each of the charges to point
P (r1, r2, r3, r4). Using these distances, along with the charge magnitudes and Coulomb's law, you can calculate the electric potential
at any point P.