How to find equipotential surface for given case?

AI Thread Summary
Equipotential surfaces created by a uniform grid of long, equally spaced parallel charged wires exhibit periodic changes in shape due to the alternating presence of charges. At greater distances, the grid resembles a uniformly charged plane, leading to a consistent potential across the surface. The periodic variation occurs because the charge distribution alternates between charged wires and gaps, affecting the potential landscape. This results in equipotential surfaces that are not uniform close to the grid but become parallel to the plane as distance increases. Understanding this behavior is crucial for analyzing electric fields in similar configurations.
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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