Question

Define Potential due to a system of charge​

Answer 1

Electrostatic Potential due to a system of charges

For a number of charges present in space, the total potential at a point due to all those charges will be equal to the sum of individual potential of each charge at that point.

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Answer 2

An infinite number of charges each equal to 'q' are placed along the X-axis at x=1, x=2, x=4, x=8 ..... The potential at the point x = 0 due to this set of charges is:

We know V due to charge q = kQ/r

V is a scalar quantity

total potential at 0 is just sum of all charges.

V = kq/1 + kq/2 + kq/4 + .....

$=\boxed{kq(\frac{1}{1-\frac{1}{2} } )}\ (sum\ of\ infinite\ G.P=\frac{a}{1-r} )$

$V=\frac{q}{4\pi\ E0} }2\\\\V=\frac{2q}{4\pi\ E0} }$

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