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Asked in GUJCET 2015 · Potential of point charges
Given: four charges q=1 μC at the corners of a square of side a=2√2 m.
Idea: potential is a scalar, so the four contributions simply add — no directions to worry about.
Diagonal: a√2=2√2×√2=4 m, so each corner is r=2 m from the centre.
One charge: (Kq)/r=(9×10⁹×10⁻⁶)/2=4.5×10³ V.
All four: V=4×4.5×10³=18×10³ V.
(The field at the centre is zero by symmetry, but the potential is not.)
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