A charge Q is placed at each of the opposite | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the side length of the square be $a$. Consider one of the corners where charge $Q$ is placed.The forces acting on this charge $Q$ are:$1$. The

Vedclass · Accepted Answer

$-2 \sqrt{2}$

Vedclass · Answer

(A) Let the side length of the square be $a$. Consider one of the corners where charge $Q$ is placed.The forces acting on this charge $Q$ are:$1$. The repulsive force due to the other charge $Q$ placed at the diagonally opposite corner: $F = k \frac{Q^2}{(\sqrt{2}a)^2} = \frac{kQ^2}{2a^2}$ (directed away from the diagonal).$2$. The two attractive forces due to the two charges $q$ placed at the adjacent corners: $F' = k \frac{Qq}{a^2}$ (directed along the sides).The resultant of these two forces $F'$ is $R = \sqrt{F'^2 + F'^2} = \sqrt{2} F' = \sqrt{2} \frac{kQq}{a^2}$ (directed along the diagonal).For the net force on $Q$ to be zero,the magnitude of the resultant force $R$ must be equal to the magnitude of force $F$,and they must act in opposite directions.$\sqrt{2} \frac{kQq}{a^2} = - \frac{kQ^2}{2a^2}$$\sqrt{2} q = - \frac{Q}{2}$$\frac{Q}{q} = -2\sqrt{2}$

List-$I$	List-$II$
$P. Q_1, Q_2, Q_3, Q_4$ all positive	$1. +x$
$Q. Q_1, Q_2$ positive; $Q_3, Q_4$ negative	$2. -x$
$R. Q_1, Q_4$ positive; $Q_2, Q_3$ negative	$3. +y$
$S. Q_1, Q_3$ positive; $Q_2, Q_4$ negative	$4. -y$

$A$ charge $Q$ is placed at each of the opposite corners of a square. $A$ charge $q$ is placed at each of the other two corners. If the net electrical force on $Q$ is zero,then $\frac{Q}{q} = $ . . . . . .

Similar Questions

Two spheres of electric charges $+2 \ nC$ and $-8 \ nC$ are placed at a distance '$d$' apart. If they are allowed to touch each other,what is the new distance between them to get a repulsive force of the same magnitude as before?

$A$ total charge $q$ is divided into $q_1$ and $q_2$,which are placed at two vertices of an equilateral triangle of side $a$. The magnitude of the electric field $E$ at the third vertex of the triangle is to be depicted schematically as a function of $x = q_1 / q$. Choose the correct figure.

Vedclass Test Series

Exam Paper Generator

Online Exam Module