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Standard XII
Physics
Electric Potential at a Point in Space Due to a Point Charge Q
Question

Four identical charges are placed at the points (1,0,0),(0,1,0),(−1,0,0) and (0.−1,0)
  1. The potential at all points on the z-axis, other than the origin acts along the z-axis
  2. The field at the origin is zero
  3. The potential at the origin is zero
  4. The potential at all points on the z-axis, other than the origin, is zero

A
The field at the origin is zero
B
The potential at the origin is zero
C
The potential at all points on the z-axis, other than the origin, is zero
D
The potential at all points on the z-axis, other than the origin acts along the z-axis
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Solution
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Here the distance (r) from origin o to all charges will be equal. i.e , r=1
The potential at origin o is V=k(q/r+q/r+q/r+q/r)=4kq
As the electric field is a vector quantity. So the electric at origin is zero because the filed will cancel each other along x and y axis.
along x axis, E=kq/r2−kq/r2=0
along y axis, E=kq/r2−kq/r2=0
As the potential is scalar quantity, so the potential at all points on the z-axis, other than the origin acts along the z-axis.
185168_125251_ans_738e5779906c41889a16919725269281.png

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