How to find equipotential surface for given case?

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SUMMARY

The discussion focuses on the equipotential surface created by a uniform grid of long, equally spaced parallel charged wires. It is established that the equipotential surface exhibits a periodic shape due to the alternating presence of charged wires. At significant distances from the grid, the configuration approximates that of a uniformly charged plane, leading to a consistent potential across the surface. The periodic changes in the equipotential surface are directly attributed to the alternating charge distribution of the wires.

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Dexter Neutron
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Q:- Describe equipotential surface due to a uniform grid consisting of long equally spaced parallel charged wires in a plane.
The answer given in my textbook is - Equipotential surface have shape which changes periodically. At far off distances it becomes parallel to the plane.

Why the equipotential surface changes periodically here?Please Explain.
Any help would be appreciated.
 
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I can answer the second question. At far off distances the grid should look like a uniformly charged plane. This results in the potential being equivalent to that of a uniformly charged plane.
 
Dexter Neutron said:
Why the equipotential surface changes periodically here?

Because the charge distribution changes periodical (wire - no wire - wire - no wire - ...).
 

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