# Numericals On Electrostatics (including Coloumbs Law)

• srijit92
In summary, the conversation discusses the distance between an electron and proton in a hydrogen atom, and then moves on to discussing how to calculate the electrical and gravitational forces between two particles. The conversation ends with a question about the equation for the electric force.
srijit92
1. In hydrogen atom the distance between electron(e=1.6*10^-19 C)(Mass of electron=9.1*10^-31 kg) & proton(Mass Of proton=1.7*10^23 C) is 5.3*10^-11 m.

2. Calculate the electrical and gravitational forces between 2 particles

Welcome to PF!

What equations do you have for the gravitational force and the electric force?

So you know that

$$F_{gravity}=G\frac{m_1m_2}{r^2}$$

so then you are given both masses, the distance apart and the gravitational constant, so this should be a straight-forward "enter the variables" type problem.

But what about the $F_{electric}$, what is the equation for that? (Hint: it has a similar form as the gravitational force)

## 1. What is Coulomb's law?

Coulomb's law is a fundamental law of electrostatics that describes the force between two charged particles. It states that the force of attraction or repulsion between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

## 2. How do you calculate electric field using Coulomb's law?

The electric field can be calculated using Coulomb's law by dividing the force between two charged particles by the magnitude of the charge on one of the particles. This will give the electric field at a specific point in space due to the presence of the charged particles.

## 3. What is the unit of electric charge in Coulomb's law?

The unit of electric charge used in Coulomb's law is the Coulomb (C). One Coulomb is equal to the charge of approximately 6.24 x 10^18 electrons or protons.

## 4. Can Coulomb's law be applied to point charges only?

No, Coulomb's law can be applied to any charged object, not just point charges. However, for larger or irregularly shaped objects, the law is typically used to calculate the force or field at a point on the object's surface or at a specific distance from the object.

## 5. How does the electric force change with distance according to Coulomb's law?

According to Coulomb's law, the electric force between two charged particles decreases as the distance between them increases. This relationship is inversely proportional, meaning that as distance increases, the force decreases by the square of the distance. For example, if the distance between two charged particles is doubled, the force between them will decrease by a factor of four.

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