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Solved Problem-8

Problem-8
Two infinite intersecting planes are intersecting at right angles. A charge of 100 nC is placed at (3, 4, 0). Find the electric potential and electric field intensity at (3, 5, 0).
Solution
In this case, the number of image charges is,
Description: 167733.png
 
The image configuration is shown in Fig.
 
The potential at P(x, y, z) due to all four charges is,
Description: 167717.png
 
where,
Description: 167710.png
Description: 167696.png
 
Description: 214533.png
Image configuration
 
At P(3, 5, 0),
Description: 167688.png
 
So, the potential is given as,
Description: 167679.png
 
Field intensity is given as,
Description: 167672.png
 
However, Description: 167665.png
 
Description: 219630.png
 
Description: 167647.png
 





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