# Solving the Charged Bubble Problem with Gas and Electrostatic Forces

• Ahmed Farhan
In summary, the conversation discusses the different forces involved in a problem, including the force due to gas pressure, atmospheric pressure, and electrostatic repulsion. The question asks for an expression for electric force, but the person could not solve it using their educated guess and the given relation. They ask for someone to review their attempt and mention relevant information from problem 15. They also provide an expression for electrostatic pressure and use it to find an expression for electric force.
Ahmed Farhan
1.
2. The force due to gas pressure = p(V0/V) dA
The force due to atmospheric pressure = p dA
The force due to electrostatic repulsion = undetermined

3. Though I don't surely know what the expression for electric force should be, I took an educated guess and solved using the relation:
force of gas pressure + electric repulsion = atmospheric pressure force
but couldn't get the expression asked for in the problem. Can anyone please take a look?

Please show details of your attempt. The question refers to problem 15. Is there anything in that problem that you could list as relevant to this problem?

electrostatic pressure = σ2/2ε0
where σ=q/(4πR2)
now,
pV0/V + σ2/2ε = p
V0=4/3*π*R03 and V=4/3*π*R3
this follows the result

## 1. What is the charged bubble problem?

The charged bubble problem is a phenomenon in fluid dynamics where a bubble formed in a liquid contains an electric charge due to the presence of charged particles in the liquid or due to an external electric field. This can cause the bubble to behave differently than a neutral bubble, leading to challenges in understanding and controlling its behavior.

## 2. How do gas and electrostatic forces affect the charged bubble problem?

Gas and electrostatic forces play a crucial role in the behavior of charged bubbles. Gas forces, such as tension and pressure, influence the shape and stability of the bubble, while electrostatic forces, such as repulsion and attraction, affect the distribution and strength of the charge on the bubble's surface. Both forces must be considered in order to accurately solve the charged bubble problem.

## 3. What methods are used to solve the charged bubble problem?

There are various mathematical and computational methods used to solve the charged bubble problem. These include analytical solutions, numerical simulations, and experimental studies. Each method has its own advantages and limitations, and a combination of approaches is often necessary to fully understand and solve the problem.

## 4. What are the practical applications of solving the charged bubble problem?

The charged bubble problem has a wide range of practical applications, including in industries such as food and beverage, pharmaceuticals, and environmental engineering. Understanding and controlling the behavior of charged bubbles is essential in processes such as foam production, drug delivery, and wastewater treatment.

## 5. What are the current challenges in solving the charged bubble problem?

The charged bubble problem is a complex and multi-faceted issue, and there are still many challenges in fully solving it. These include accurately modeling the behavior of charged particles in the liquid, understanding the interactions between gas and electrostatic forces, and developing efficient and reliable methods for solving the problem. Ongoing research and advancements in technology are helping to address these challenges.

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