Question

Equal charges $q$ are placed at the four corner $A,B,C,D$ of a square of length $a.$ the magnitude of the force on the charge at $B$ will be :

• A. $\frac{3q^2}{4\pi {\epsilon }_0{a}^2}$
• B. $\frac{4q^2}{4\pi {\epsilon }_0{a}^2}$
• C. $\left[\frac{1+2\sqrt{2}}{2}\right]\frac{q^2}{4\pi {\epsilon }_0{a}^2}$
• D. $\left[2+\frac{1}{\sqrt{2}}\right]\frac{q^2}{4\pi {\epsilon }_0{a}^2}$

Answer 1

The correct option is C $\left[\frac{1+2\sqrt{2}}{2}\right]\frac{q^2}{4\pi {\epsilon }_0{a}^2}$