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Tushar Watts Grade: 12
        

  Of the charge Q on a tiny sphere, a fraction @ is to be transferred to a second , nearby sphere. The spheres can be treated as a particle


What value of @ maximizes the mag F of the electrostatic force b/w the two spheres???

8 years ago

Answers : (1)

Pratham Ashish
17 Points
										

 hi,


let @ fraction is transferred to other sphere , charge on the other will be = Q@


   charge remained  on the  first one = Q -Q@ = Q(1-@)


   force between the spheres , F = 


                                              = k . Q@ *    Q(1-@) /  r^2


       let k / r^2 be another const k2


  F  =    k2  Q@ *    Q(1-@)


dF/d@ = k2 . Q^2 ( 1 - 2@) 


d^2 F / d@^2 = k2 . Q^2 ( - 2)


      so for a max.   put dF/d@ = 0 


  gives ,  @ = 1/2 


 for this  d^2 F / d@^2 is also <0


so for @ =1/2 we will have max. force             


      


 


 

8 years ago
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