Three charges q, sqrt{2}q,and 2q are placed a | vedclass

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

Question

(B) The electric potential $V$ at a point due to a system of point charges is the algebraic sum of the potentials due to each charge individually: $V

Vedclass · Accepted Answer

$\frac{4kq}{a}$

Vedclass · Answer

(B) The electric potential $V$ at a point due to a system of point charges is the algebraic sum of the potentials due to each charge individually: $V = \sum \frac{kq_i}{r_i}$.In square $ABCD$ of side $a$:$1$. The distance from $A$ to $D$ is $r_A = a$.$2$. The distance from $B$ to $D$ is the diagonal of the square,$r_B = a\sqrt{2}$.$3$. The distance from $C$ to $D$ is $r_C = a$.The potential at $D$ is $V_D = \frac{kq_A}{r_A} + \frac{kq_B}{r_B} + \frac{kq_C}{r_C}$.Substituting the values: $V_D = \frac{kq}{a} + \frac{k(\sqrt{2}q)}{a\sqrt{2}} + \frac{k(2q)}{a}$.$V_D = \frac{kq}{a} + \frac{kq}{a} + \frac{2kq}{a} = \frac{kq}{a}(1 + 1 + 2) = \frac{4kq}{a}$.

Three charges $q, \sqrt{2}q$,and $2q$ are placed at the corners $A, B$,and $C$ respectively of a square $ABCD$ of side length $a$. Find the electric potential at point $D$.

Similar Questions

Two conducting hollow spheres of radii $R$ and $3R$ are found to have $Q$ charge on their outer surfaces when both are connected with a long wire. $A$ charge $q'$ is kept at the centre of the bigger sphere. Which of the following is true?

If on the concentric hollow spheres of radii $r$ and $R$ $(R > r)$ the charge $Q$ is distributed such that their surface charge densities are the same,then the potential at their common centre is:

The dimensions of electric potential are

The electrostatic potential on the surface of a uniformly charged spherical shell of radius $R = 10 \ cm$ is $120 \ V$. The potential at the centre of the shell,at a distance $r = 5 \ cm$ from the centre,and at a distance $r = 15 \ cm$ from the centre of the shell respectively,are:

Three concentric metallic spherical shells $A, B,$ and $C$ of radii $a, b,$ and $c$ $(a < b < c)$ have surface charge densities $-\sigma, +\sigma,$ and $-\sigma$ respectively. The potential of shell $A$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module