An infinite number of charges of equal magnitude q, but alternate charge of opposite sign are placed along the x-axis at x = 1, x = 2, x = 4, x =8,... and so on. The electric potential at the point x = 0 due to all these charges will be -
Text Solution
Verified by ExpertsThe correct answer is:
C
Charges of equal magnitude 
, with alternate signs, are placed at 
So the potential at 
is the sum:
Identify the infinite series
This is a geometric series with first term 
and common ratio 
.
Sum of infinite geometric series
Total potential
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