Four point-charges are placed at the vertices of a square of side 2.8 ~m as shown in the figure. Find the electric potential at the centre of the square.

Step-by-step solution

Given that, the point charges are placed on vertices of a square as shown in figure. Let r be the distance of O from the each corner. In aligned A C^2 & =A B^2+B C^2 (2 r)^2 & =a^2+a^2=2 a^2 r=a / 2 r & = 2.8 2 ~m ( a=2.8 ~m ) aligned Now, using expression of electric potential at a point due to point charge V=K q / r Now, total electric potential at O due to all the four charges q₁, q₂, q₃ and q₄ aligned & V₀=V₁+V₂+V₃+V₄ & V₀= K q₁ r + K q₂ r + K q₃ r + K q₄ r & V₀= K r [q₁+q₂+q₃+q₄ ] aligned Substituting the valu