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An assembly of charges +q, -q , +q, -q...

An assembly of charges `+q, -q , +q, -q…..` are at positions `x = 1 m, 2 m, 4 m, 8 m, `…. And so on from origin. What is the potential at `x = 0`, due to these charges ?

A

`-(q)/(4piepsilon_(0))`

B

`-(q)/(6piepsilon_(0))`

C

`(q)/(6piepsilon_(0))`

D

`(q)/(4piepsilon_(0))`

Text Solution

AI Generated Solution

To find the electric potential at \( x = 0 \) due to the assembly of charges \( +q, -q, +q, -q, \ldots \) located at positions \( x = 1 \, m, 2 \, m, 4 \, m, 8 \, m, \ldots \), we can follow these steps: ### Step 1: Identify the positions and charges The charges are positioned at: - \( x = 1 \, m \): \( +q \) - \( x = 2 \, m \): \( -q \) - \( x = 4 \, m \): \( +q \) - \( x = 8 \, m \): \( -q \) ...
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