Q15 of 47 Page 1

(a) Draw equipotential surfaces corresponding to the electric field that uniformly increases in magnitude along with the z-directions.

(b) Two charges – q and + q are located at points (0, 0, – a) and (0, 0, a). What is the electrostatic potential at the points (0, 0, + z) and (x, y, 0)?


a.



Here


As,


For equipotential surfaces where E is increasing uniformly d should decrease uniformly.


The equipotential surfaces will be parallel to x-y plane.


b.



Electric potential at (0,0, +z)



Electric potential at (0,0, +z) due to –q charge,



where, and r=z+a


Electric potential at (0,0, +z) due to +q charge,



where, and r=z-a


Therefore, net potential,







At (x, y,0) and as xy plane is denoted by z=0, the distance for –q and +q will be same at xy plane.


xy plane is equipotential surface with magnitude 0.

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