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Home / Doubts and Solutions/NEET/Physics

Surface charge density of a soap bubble of radius r and surface tension T is  q . If P is excess  pressure then the value of q is

Asked by Deepak 3rd September 2018, 7:31 PM
Answered by Expert
Answer:
As shown in figure, a charged soap bubble experiences the following pressure in order to be in equilibrium.
 
Pin = pressure inside the bubble due to trapped air.
Pout = atomspheric pressure 
pT = Pressure due to surface tension force
Pel = Electrostatic pressure due to to surface charge
 
The directions of the each pressure is shown in figure. Pout , PT are radially inward, while electrostatic pressure Pel is radially outward
 
Hence in equlibrium, Pin  = Pout + PT - Pel 
Pin - Pout = excess pressure P = PT - Pel  =  ( 4T/r ) - q2/(2εo) ................(1)
where T is surface tension, r is bubble radius and q is surface charge density
 
we get q from (1) as, begin mathsize 12px style q space equals space open curly brackets 2 epsilon subscript o space open parentheses fraction numerator 4 space T over denominator r end fraction space minus space P close parentheses close curly brackets to the power of bevelled 1 half end exponent end style
Answered by Expert 7th September 2018, 4:23 PM
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