Question

Calculate the net force acting on the charge present at the origin –

• A. $\frac{kqq_{1}}{a^{2}} \times \sqrt{2}$
• B. $\frac{kqq_{1}}{\sqrt{2}a^{2}}$+$\frac{kqq_{1}}{2a^{2}}$
• C. $\frac{kqq_{1}}{a^{2}}\left( \sqrt{2} - \frac{1}{2} \right)$
• D. $\frac{kqq_{1}}{a^{2}}\left( \frac{1}{2} - \sqrt{2} \right)$

Answer 1

Answer: (C)

$\frac{kqq_{1}}{a^{2}}\left( \sqrt{2} - \frac{1}{2} \right)$

Answer 2

F" = $\sqrt { 2 }$F

F" =$\frac { \sqrt { 2 } \mathrm { kqq } _ { 1 } } { \mathrm { a } ^ { 2 } }$

F' ==

\ F_Net = F" – F'

= $\frac { \mathrm { kqq } _ { 1 } } { \mathrm { a } ^ { 2 } } \left( \sqrt { 2 } - \frac { 1 } { 2 } \right)$