What will be the magnitude of electric field at point O as shown in figure? Each side of the figure is mid and perpendicular to each other?

Question

What will be the magnitude of electric field at point O as shown in figure? Each side of the figure is mid and perpendicular to each other? (A) (1/4 π ε0) (q/l2) (B) (1/4 π ε0) (q/(2 l2))(2 √2-1) (C) (q/4 π ε0(2 l)2) (D) (1/4 π ε0) (2 q/2 l2)(√2)

Tardigrade Admin · Accepted Answer

E1=(k q/l2)=E2 E3=(k q/(√2 l)2)=(k q/2 l2) E=(√2 k q/l2)-(k q/2 l2) =(k q/2 l2)(2 √2-1)

Q. What will be the magnitude of electric field at point $O$ as shown in figure?
Each side of the figure is $∣$ and perpendicular to each other?

$\frac{1}{4 π ε _{0}} \frac{q}{l ^{2}}$

$\frac{1}{4 π ε _{0}} \frac{q}{( 2 l ^{2} )} (22 - 1)$

$\frac{q}{4 π ε _{0} ( 2 l ) ^{2}}$

$\frac{1}{4 π ε _{0}} \frac{2 q}{2 l ^{2}} (2)$

$E_{1} = \frac{k q}{l ^{2}} = E_{2}$
$E_{3} = \frac{k q}{( 2 l ) ^{2}} = \frac{k q}{2 l ^{2}}$
$E = \frac{2 k q}{l ^{2}} - \frac{k q}{2 l ^{2}}$
$= \frac{k q}{2 l ^{2}} (22 - 1)$

Q. What will be the magnitude of electric field at point O as shown in figure? Each side of the figure is ∣ and perpendicular to each other?

4πε0​1​l2q​

4πε0​1​(2l2)q​(22​−1)

4πε0​(2l)2q​

4πε0​1​2l22q​(2​)