Physics Electrostatics Potential & Capacitance Electric Field and Potential,Defference,Energy and Dipole MCQ (Single Correct)

Charges are placed at the vertices of square as shown in diagram. If charge at A and B are interchanged with C and D respectively then-

A
Only magnitude of electric field will change at the center
B
Both magnitude and direction of electric field will change at the center
C
Only direction of electric field at center will change
D
Both magnitude and direction of electric field will remain unchanged

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The correct answer is:
C

Electric field E due to a single charge Q is given by

Net electric field due to all the charges at the center O is shown by in the following figure.

We can see that on interchanging the charges at A and B with charges C and D, there is no change on the magnitude, but its direction changes.

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