An electric charge $10^{-3}\ \mu C$ is placed at the origin $(0, 0)$ of $X-Y$ coordinate  system. Two points $A$ and $B$ are situated at $(\sqrt 2 ,\sqrt 2 )$ and $(2, 0)$ respectively. The potential difference between the points $A$ and $B$ will be......$V$
  • A$9$
  • B$0$
  • C$2$
  • D$4.5$
Medium
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.*

Similar Questions

  • 1
    There are two equipotential surface as shown in figure. The distance between them is $r$. The charge of $-q\,$ coulomb is taken from the surface $A$ to $B$, the resultant work done will be
    View Solution
  • 2
    If initial charge on all the capacitors were zero, work done by the battery in the circuit shown is ........... $mJ$
    View Solution
  • 3
    Two capacitors of $3\,pF$ and $6\,pF$ are connected in series and a potential difference of $5000\,V$ is applied across the combination. They are then disconnected and reconnected in parallel. The potential between the plates is
    View Solution
  • 4
    An electric dipole is formed by two charges $+q$ and $-q$ located in xy-plane at $(0,2) \mathrm{mm}$ and $(0,-2) \mathrm{mm}$, respectively, as shown in the figure. The electric potential at point $\mathrm{P}(100,100) \mathrm{mm}$ due to the dipole is $V_0$. The charges $+q$ and $-q$ are then moved to the points $(-1,2) \mathrm{mm}$ and $(1,-2) \mathrm{mm}$, respectively. What is the value of electric potential at $P$ due to the new dipole?
    View Solution
  • 5
    Three capacitors each of capacity $4\,\mu \,F$ are to be connected in such a way that the effective capacitance is $6\,\mu \,F$. This can be done by
    View Solution
  • 6
    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 $ergs$)
    View Solution
  • 7
    A small sphere carrying a charge ‘$q$’ is hanging in between two parallel plates by a string of length $L$. Time period of pendulum is ${T_0}$. When parallel plates are charged, the time period changes to $T$. The ratio $T/{T_0}$ is equal to
    View Solution
  • 8
    Four metallic plates arearranged as shown in the figure. If the distance between each plate then capacitance of the given system between points $A$ and $B$ is (Given $d < < A$)
    View Solution
  • 9
    A thin spherical shell is charged by some source. The potential difference between the two points $C$ and $P$ (in $V$) shown in the figure is:

    (Take $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9$ $SI$ units)

    View Solution
  • 10
    An electric dipole of moment $\vec p$ is lying along a uniform electric field $\vec E.$ The work done in rotating the dipole by $90^o $ is
    View Solution