What is the electric potential energy of two electrons separated by 2.68 nm?

In summary, electric potential energy is the energy resulting from the interaction between two charged particles and is calculated by multiplying the charge of an object by the electric potential at its position. Factors affecting electric potential energy include the distance between charged particles, the magnitude of the charges, the medium, the direction of the electric field, and the location within the field. Real-world examples include batteries and lightning. Electric potential energy is closely related to electric potential, which is the amount of potential energy per unit of charge at a specific point in an electric field.
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What is the electric potential energy in joules of two electrons separated by 2.68 nm?
 
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So...what have you tried? What equation do you think you need?
 
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Electric potential energy is a measure of the potential energy stored in a system due to the presence of electric charges. In this case, we are considering the electric potential energy between two electrons separated by a distance of 2.68 nm.

To calculate the electric potential energy, we can use the formula:

U = ke * (q1 * q2) / r

Where U is the electric potential energy, ke is the Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the two electrons, and r is the distance between them.

Since both electrons have the same charge (1.602 x 10^-19 C), we can rewrite the formula as:

U = ke * (1.602 x 10^-19 C)^2 / 2.68 x 10^-9 m

Plugging in the values, we get:

U = (8.99 x 10^9 Nm^2/C^2) * (2.57 x 10^-38 C^2) / 2.68 x 10^-9 m

U = 2.57 x 10^-29 Nm / 2.68 x 10^-9 m

U = 9.59 x 10^-21 J

Therefore, the electric potential energy between two electrons separated by 2.68 nm is approximately 9.59 x 10^-21 joules. This value may seem small, but it is a significant amount of energy on the atomic scale.
 

FAQ: What is the electric potential energy of two electrons separated by 2.68 nm?

What is electric potential energy?

Electric potential energy is the energy that an object possesses due to its position in an electric field. It is the result of the interaction between two charged particles, and can be thought of as the potential for work to be done.

How is electric potential energy calculated?

Electric potential energy is calculated by multiplying the charge of an object by the electric potential at its position. The equation for electric potential energy is U = qV, where U is the potential energy, q is the charge, and V is the electric potential.

What factors affect electric potential energy?

There are several factors that affect electric potential energy, including the distance between two charged particles, the magnitude of the charges, and the medium in which the particles are located. Additionally, the direction of the electric field and the location of the particles within the field can also impact the potential energy.

What are some real-world examples of electric potential energy?

One common example of electric potential energy is a battery. The chemical energy stored in the battery is converted into electrical energy, which is then stored as potential energy. Another example is lightning, where a buildup of electric potential energy is released in the form of a powerful electrical discharge.

How is electric potential energy related to electric potential?

Electric potential energy and electric potential are closely related, with electric potential being the amount of potential energy per unit of charge at a specific point in an electric field. In other words, electric potential energy is the result of the electric potential at a particular location multiplied by the charge of an object.

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