The radius of a soap bubble is r and the surface tension of the soap solution is S. The electric potential to which the soap bubble be raised by charging it so that the pressure inside the bubble becomes equal to the pressure outside the bubble is
permittivity of the free space
Text Solution
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Since pressure difference due to surface tension,
Electrostatic pressure due to change on the soap bubble, 
Here, 
surface charge density and 
permitivity of the free space
Electric potential on spherical shell, 
Putting, 
and 
Pressure difference due to, surface tension must .cancel pressure difference due to charge.
So, the potential of the bubble is 
.
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