Question

four charges each of equal magnitude .are placed at the vertices of square what is the net force on a charge placed at intersection of its diagonal give me procedure​

Answer 1

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➙ four charges each of equal magnitude .are placed at the vertices of square what is the net force on a charge placed at intersection of its diagonal .

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➙ Let the side length of the square be 'a' .

• In ∆ACD ,

$\implies$ AD² + CD² = AC²

$\implies$ a² + a² = AC²

$\implies$ AC = $\sqrt{2a}$

• In ∆DOC ,

$\implies$ OD² + OC² = CD²

$\implies$ OC²+ OC² = a²

$\implies$ OC = $\bf\frac{9}{\sqrt{2}}$

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Force on charge at C due to D ,

• $\bf{F_2=}{\frac{KQ²}{a²}}$

Force on charge at C due to A ,

• $\bf{F_4=}{\frac{KQ²}{AC²}}$ = ${\frac{KQ²}{2a²}}$

Force on charge at C due to q ,

• $\bf{F_3}{\frac{KqQ}{OC²}}$ = ${\frac{2KqQ}{a²}}$