Download App
Consider the configuration of a system of four charges each of value $+q$ . The work done by external agent in changing the configuration of the system from figure $(1)$ to figure $(2)$ is 
  • A$\frac{{k{q^2}}}{a}\left( {3 - \sqrt 2 } \right)$
  • B$\frac{{ - k{q^2}}}{a}\left( {3 + \sqrt 2 } \right)$
  • C$\frac{{k{q^2}}}{a}\left( {3 + \sqrt 2 } \right)$
  • D$\frac{{ - k{q^2}}}{a}\left( {3 - \sqrt 2 } \right)$
Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Download App

Similar Questions

  • 1
    In order to obtain a time constant of $10$ seconds in an $RC$ circuit containing a resistance of $10^3\,\Omega,$ the capacity of a condenser should be.....$ \mu F$
    View Solution
  • 2
    Assertion : In the absence of an external electric field, the dipole moment per unit volume of a polar dielectric is zero.

    Reason : The dipoles of a polar dielectric are randomly oriented.

    View Solution
  • 3
    Figure shows a solid conducting sphere of radius $1 m$, enclosed by a metallic shell of radius $3 \,m$ such that their centres coincide. If outer shell is given a charge of $6 \,\mu C$ and inner sphere is earthed, find magnitude charge on the surface of inner shell is ............. $\mu C$
    View Solution
  • 4
    There exists a uniform electric field $E=4 \times 10^5 \,Vm ^{-1}$ directed along negative $x$-axis such that electric potential at origin is zero. Acharge of $-200 \,\mu C$ is placed at origin, and a charge of $+200 \,\mu C$ is placed at $(3 \,m , 0)$. The electrostatic potential energy of the system is ...........$J$
    View Solution
  • 5
    A charge $3$ coulomb experiences a force $3000$ $N$ when placed in a uniform electric field. The potential difference between two points separated by a distance of $1$ $cm$ along the field lines is.....$V$
    View Solution
  • 6
    Two point charges $-q$ and $+q$ are located at points $(0, 0, -a)$ and $(0, 0, a),$ respectively. The potential at a point $(0, 0, z)$ where $z > a$ is
    View Solution
  • 7
    In the figure below, what is the potential difference between the points $A$ and $B$ and between $B$ and $C$ respectively in steady state
    View Solution
  • 8
    The linear charge density on a dielectric ring of radius $R$ varies with $\theta $ as $\lambda \, = \,{\lambda _0}\,\cos \,\,\theta /2,$ where $\lambda _0$ is constant. Find the potential at the centre $O$ of ring. [in volt]
    View Solution
  • 9
    The displacement of a charge $Q$ in the electric field $E = {e_1}\hat i + {e_2}\hat j + {e_3}\hat k$ is $\hat r = a\hat i + b\hat j$. The work done is
    View Solution
  • 10
    In the circuit shown in figure $C_1=2C_2$. Switch $S$ is closed at time $t=0$. Let $i_1$ and $i_2$ be the currents flowing through $C_1$ and $C_2$ at any time $t$, then the ratio $i_1/ i_2$
    View Solution