i know complex numbers..but one cannot plot such curves on argand's plane...you cannot plot even (x,y), where both are real quantities..isnt it..?? so how do you propose to plot these entire curves..
e^x is inverse of ln(x).Both these functions are symmetric about y=x..you can draw graphs
of both to see that...There is no real point of intersection in these graphs...thus according to me there must not be any solution..!
How can we consider them as point charges in this problem...??
The repulsive force between the point charges can be calculated from coulomb's law...
I thought this about approaching this problem..
let us take a hemisphere & we try to build another on it and see the force of repulsion due to...
A charged hollow sphere with surface charge density \sigma & radius R is cut into two hemispheres...certainly the hemispheres with equal charges on them would repel each other...Now a force is applied on both the hemispheres to align them again as the original sphere..i shall be highly thankful...