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Electric force is one of the fundamental forces of nature. It is the force experienced by a charged particle in an electric field.
To calculate the electric force (\( F \)) acting on a charge (\( q \)), we use:

• \( F = qE \).

The electric force is crucial because it defines how charged particles interact with each other and their surroundings.
In the context of the problem, an electric force of \( 3.9 \times 10^{-15} \, \mathrm{N} \) acts on an electron.
Given the charge of an electron is negative, \( q = -1.6 \times 10^{-19} \, \mathrm{C} \), we can determine the electric field (\( E \)) by rearranging the formula:

• \( E = \frac{F}{q} \).

Electric forces not only cause charged particles to move but also determine how they balance within electric fields, like between two conducting plates.
This understanding allows us to determine both the magnitude and direction of such interactions.

Potential difference, often referred to as voltage, is the change in electric potential energy per unit charge between two points in an electric field.
In simpler terms, it tells us how much "push" an electric field has between two points.
The relationship between potential difference (\( V \)), electric field (\( E \)), and distance (\( d \)) is captured by:

• \( V = Ed \).

This formula is derived from the definition of potential difference and the work done in moving a charge against an electric field.
For parallel plates, the potential difference is consistent across the field created between the plates.
In this scenario, with the plates being \( 0.12 \mathrm{~m} \) apart, and knowing the electric field is \( 2.44 \times 10^{4} \, \mathrm{N/C} \), the potential difference calculates as:

• \( V = 2.928 \times 10^{3} \, \mathrm{V} \),

which is equivalent to \( 2.93 \, \mathrm{kV} \).
This depicts the energy needed to move a charge from one plate to the other.

Conducting plates are materials that allow electric charges to move across them easily.
In physics, particularly electrostatics, the concept of parallel conducting plates is crucial.
When two large, conducting plates are placed parallel to each other and charged, they create a uniform electric field in the space between them.
This occurs because charges redistribute on the plates’ surfaces to ensure the electric field within the conductor is zero.
The configuration:

• ensures a consistent electric field between the plates,
• prevents external electric fields from influencing the charges within,
• creates an environment where calculations like potential difference and electric field strength are straightforward.

The uniformly distributed electric field means any charge placed between the plates experiences a force of constant magnitude and direction.
This characteristic is utilized in technological applications like capacitors, where such plate configurations can store and release energy efficiently.