Four point charges -Q, -q, 2q and 2Q are plac | vedclass

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

Question

(A) Let the distance from the center of the square to each corner be $r$. The electric potential $V$ at the center due to a point charge $q_i$ at dist

Vedclass · Accepted Answer

$Q = -q$

Vedclass · Answer

(A) Let the distance from the center of the square to each corner be $r$. The electric potential $V$ at the center due to a point charge $q_i$ at distance $r$ is given by $V = \frac{1}{4\pi\epsilon_0} \frac{q_i}{r}$.Since the distance $r$ is the same for all four corners,the total potential at the center is the algebraic sum of the potentials due to each charge:$V_{total} = \frac{1}{4\pi\epsilon_0} \left( \frac{-Q}{r} + \frac{-q}{r} + \frac{2q}{r} + \frac{2Q}{r} \right)$$V_{total} = \frac{1}{4\pi\epsilon_0 r} (-Q - q + 2q + 2Q)$$V_{total} = \frac{1}{4\pi\epsilon_0 r} (Q + q)$For the potential at the center to be zero,we must have $V_{total} = 0$,which implies:$Q + q = 0$$Q = -q$

Four point charges $-Q, -q, 2q$ and $2Q$ are placed,one at each corner of a square. The relation between $Q$ and $q$ for which the potential at the center of the square is zero is:

Similar Questions

Two conducting spheres of radii $r_1$ and $r_2$ have the same electric field intensity near their surfaces. The ratio of their electric potentials is

$A$ charge of $10\, e.s.u.$ is placed at a distance of $2\, cm$ from a charge of $40\, e.s.u.$ and $4\, cm$ from another charge of $20\, e.s.u.$ The potential energy of the charge $10\, e.s.u.$ is (in $ergs$)

Which of the following statements is correct?

Two identical positive charges are placed at $x = -a$ and $x = a$. The correct variation of potential $V$ along the $x$-axis is given by:

$A$ spherical shell of radius $R$ carries a charge $Q$. What is the potential at point $B$ on the surface,at the center $A$,and at point $C$ at a distance $R/2$ from the center?

Vedclass Test Series

Exam Paper Generator

Online Exam Module