Four electric charges + q ,- q ,(+2 q ) and - q are placed at the corners of a square of side 2 L ( see figure). The electric potential at point A, midway between the two charges + q and - q, is :-

Question

Four electric charges + q ,- q ,(+2 q ) and - q are placed at the corners of a square of side 2 L ( see figure). The electric potential at point A, midway between the two charges + q and - q, is :- (A) (1/4 π ∈0) ( q /√5 L ) (B) (1/4 π ∈0) (2 q / L )(1+(1/√5)) (C) (1/4 π ϵ0) ( q / L )((1/√5)+(1/√2)) (D) Zero

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f8a8a3956fd8bd553aaf04629dcded64-.png" /> V A =( Kq / L )-( Kq / L )+( K (2 q )/√5 L )-( Kq /√5 L ) ⇒ V A =( Kq /√5 L )

Q. Four electric charges $+ q, - q, (+ 2 q)$ and $- q$ are placed at the corners of a square of side $2 L (see$ figure). The electric potential at point $A$ , midway between the two charges $+ q$ and $- q$ , is :-

$\frac{1}{4 π \in _{0}} \frac{q}{5 L}$

$\frac{1}{4 π \in _{0}} \frac{2 q}{L} (1 + \frac{1}{5})$

$\frac{1}{4 π ϵ _{0}} \frac{q}{L} (\frac{1}{5} + \frac{1}{2})$

Zero

$V_{A} = \frac{K q}{L} - \frac{K q}{L} + \frac{K ( 2 q )}{5 L} - \frac{K q}{5 L}$
$\Rightarrow V_{A} = \frac{K q}{5 L}$

Q. Four electric charges +q,−q,(+2q) and −q are placed at the corners of a square of side 2L(see figure). The electric potential at point A, midway between the two charges +q and −q, is :-

4π∈0​1​5​Lq​

4π∈0​1​L2q​(1+5​1​)

4πϵ0​1​Lq​(5​1​+2​1​)