Solving the Charged Bubble Problem with Gas and Electrostatic Forces

[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?

 

[TSny]

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?

 

[Arabindo Dowary]

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