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An infinite number of charges each numer...

An infinite number of charges each numerically equal to q and of the same sign are placed along the x-axis at `x = 1, x = 2, x = 4, x = 8` and so on. Find electric potential at `x=0`.

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To find the electric potential at \( x = 0 \) due to an infinite number of charges placed along the x-axis at positions \( x = 1, 2, 4, 8, \ldots \), we can follow these steps: ### Step 1: Understand the Electric Potential Formula The electric potential \( V \) due to a point charge \( q \) at a distance \( r \) is given by the formula: \[ V = \frac{1}{4 \pi \epsilon_0} \frac{q}{r} \] where \( \epsilon_0 \) is the permittivity of free space. ...
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