Solution of an infinite number of charges each equal to q are placed along x axis at x=1m,x=2m,x=4m,x=8m and so on.find the total force on a charge of 1c placed at the origin
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F net = kq/1² + kq/2² + kq/4² + kq/8² + .....
By geometric progression, we find that :-
Sum = a+ar+ar²+..... = a/1-r
In this case, a = kq and r = 1/4
So, F net = kq/1-1/4 = kq/3/4 = 3kq/4
By geometric progression, we find that :-
Sum = a+ar+ar²+..... = a/1-r
In this case, a = kq and r = 1/4
So, F net = kq/1-1/4 = kq/3/4 = 3kq/4
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