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```          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

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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