A square of side a has a charge Q at its cent | vedclass

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

Question

(A) The electric potential $V$ at any corner of the square due to the charge $Q$ at the centre is given by $V = \frac{1}{4\pi \epsilon_0} \frac{Q}{r}$

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(A) The electric potential $V$ at any corner of the square due to the charge $Q$ at the centre is given by $V = \frac{1}{4\pi \epsilon_0} \frac{Q}{r}$,where $r$ is the distance from the centre to any corner.In a square of side $a$,the diagonal is $a\sqrt{2}$,so the distance from the centre to any corner is $r = \frac{a\sqrt{2}}{2} = \frac{a}{\sqrt{2}}$.Since the distance $r$ is the same for all four corners,the electric potential $V$ is the same at all corners.The work done $W$ in moving a charge $q$ between two points is given by $W = q(V_{final} - V_{initial})$.Since $V_{final} = V_{initial}$,the work done $W = q(V - V) = 0$.

$A$ square of side $a$ has a charge $Q$ at its centre. $A$ charge $q$ is placed at one of the corners. The work required to be done in moving the charge $q$ from this corner to the diagonally opposite corner is

Similar Questions

$A$ circle of radius $R$ is drawn with a charge $+q$ at the centre. $A$ charge $q_0$ is moved from point $B$ to $C$ along the circumference of the circle. The work done is:

Assertion $(A):$ $A$ spherical equipotential surface is not possible for a point charge.
Reason $(R):$ $A$ spherical equipotential surface is possible inside a spherical capacitor.

The work done to move a charge on an equipotential surface is

$A$ charge $Q$ is placed at the centre of a circle of radius $10 \ cm$. Find the work done in moving a charge $q$ between any two points lying on the arc of the circle.

There is $10$ units of charge at the centre of a circle of radius $10\,m$. The work done in moving $1\,unit$ of charge around the circle once is...........$units$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module