Electrostatic Potential and Capacitance


   
 
Numerical 09
09. Assume the radius of electron same to the radius of proton which is 10-15 m. Let the electron charge reside on the surface. What is the potential energy of such as charge distribution? Also, calculate the relativistic mass equivalent of this energy.
 
Suggested answer:
 
Potential energy of a charged spherical shell is given as
 
 
 
=11.52 x 10-14 Nm
 
= 1.152 x 10-13 J
 
 
= 0.72 MeV
 
Relativistic mass equivalent of energy
 
= 1 Jm-2 S2
 
= 1 Nm-2 s2
 
= 1 kg m s-2 mm-2 s2
 
= 1 kg
 
 
= 1.28 x 10-30 kg
 
 
 
     
   
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