Practice portal › Electric Potential and Capacitance › Electric Potential

Charges of 1 μC are placed at each of the four corners of a square of side 2√2 m. The potential at the point of intersection of the diagonals is ______. (K=9×10⁹ SI unit)

Asked in GUJCET 2015 · Potential of point charges

Answer: (1) 18×10³ V

Step-by-step solution

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.)

Why the other options are wrong

More Electric Potential questionsAll Electric Potential questions →

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.

Practise this with a timer