Four charges + q, + q, - q, - q are fixed respectively at the corners of A, B, C and D of a square of side ‘a’ arranged in the given order. Calculate the electric potential and intensity at O (Center of square). If E and F are the midpoints of sides BC, CD respectively, what will be the work done by external agent in carrying a charge Q slowly from O to E and from O to F?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(0, 
, 0, 
where k = 
)
Sol. (i) Potential at the point O = 
= 0 V
(ii) → Electric field at point O
As shown from figure. E net (at O) = E 0 = 4 E cos 45º (where, E = Electric field due to individual charge at point O)
∴ E 0 = 
= 
(in shown direction)
(iii) V E = 0 (from diagram symmetry)
∴ W ext (O → E) = Q (V E – V 0 ) = Q (0 – 0) = 0 J
W ext (O → F) = Q (V F – V 0 ) = Q 
J
= 
J
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