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Charges are placed at the vertices of a square respectively. Let be the electric field and the potential at the centre. If the charges on and are interchanged with those on and respectively, then:
image

  1. A
    remains unchanged, changes
  2. B
    Both and change
  3. C
    Both and remain unchanged
  4. D
    changes, remains unchanged

Solution & Step-by-step Explanation

Potential (): is a scalar quantity. . Since all vertices are at the same distance from the center, . Interchanging positions does not change the sum of the charges. Thus, remains unchanged.Electric Field (): is a vector quantity. The field at the center is the vector sum of fields from each charge. Initially, charges at top and at bottom create a net downward field. After swapping, are at top and at bottom, creating a net upward field. The direction of changes.

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Charges are placed at the vertices of a square respectively. Let be the electric field and the potential at the centre. If the charges on and are interchanged with those on and respectively, then:
image
A
remains unchanged, changes
B
Both and change
C
Both and remain unchanged
D
changes, remains unchanged

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