Four identical capacitors are connected in series with a $10\,V$ battery as shown. The point $N$ is earthed. The potentials of points $A$ and $B$ are
Medium
Download our app for free and get startedPlay store
As the all capacitance are same and in series so potential across each $=10 / 4=2.5 V$

now, $V_{A}-V_{N}=2.5+2.5+2.5=7.5$

or $V_{A}-0=7.5 \Rightarrow V_{A}=7.5 V$

and $V_{N}-V_{B}=2.5$

or $0-V_{B}=2.5$

or $V_{B}=-2.5 V$

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
    A capacitor of capacitance $C$ is charged to potential difference $V_0$. Now this capacitor is connected to an ideal inductor. When $25\%$ of energy of capacitor is transferred to inductor then at that time what will be potential difference across capacitor
    View Solution
  • 2
    A two point charges $4 q$ and $-q$ are fixed on the $x-$axis at $x=-\frac{d}{2}$ and $x=\frac{d}{2},$ respectively. If a third point charge $'q'$ is taken from the origin to $x = d$ along the semicircle as shown in the figure, the energy of the charge will
    View Solution
  • 3
    A parallel plate capacitor of capacitance $2\; F$ is charged to a potential $V$. The energy stored in the capacitor is $E_1$. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is $E _2$. The ratio $E _2 / E _1$ is
    View Solution
  • 4
    Ten capacitor are joined in parallel and charged with a battery up to a potential $V$. They are then disconnected from battery and joined again in series then the potential of this combination will be.......$V$
    View Solution
  • 5
    A spherical conductor of radius $2m$ is charged to a potential of $120\, V$. It is now placed inside another hollow spherical conductor of radius $6m$. Calculate the potential to which the bigger sphere would be raised......$V$
    View Solution
  • 6
    The switch $S_w$ is shifted from position $1$ to position $2$ as shown in the figure. Heat generated in the circuit is
    View Solution
  • 7
    In a parallel plate capacitor of capacitance $C$, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be
    View Solution
  • 8
    $A B C$ is a right angled triangle situated in a uniform electric field $\vec{E}$ which is in the plane of the triangle. The points $A$ and $B$ are at the same potential of $15 \,V$ while the point $C$ is at a potential of $20 \,V . A B=3 \,cm$ and $B C=4 \,cm$. The magnitude of electric field is (in $S.I.$ Units)
    View Solution
  • 9
    The electric potential at a distance of $3 \,m$ on the axis of a short dipole of dipole moment $4 \times 10^{-12}$ coulomb-meter is ......... $mV$
    View Solution
  • 10
    Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.

    Assertion $A$: The potential ( $V$ ) at any axial point, at $2 \mathrm{~m}$ distance ( $r$ ) from the centre of the dipole of dipole moment vector $\vec{P}$ of magnitude, $4 \times 10^{-6} \mathrm{C} \mathrm{m}$, is $\pm 9 \times 10^3 \mathrm{~V}$.

    (Take $\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Sl}$ units)

    Reason $R$: $V= \pm \frac{2 P}{4 \pi \epsilon_0 r^2}$, where $r$ is the distance of any axial point, situated at $2 \mathrm{~m}$ from the centre of the dipole.

    In the light of the above statements, choose the correct answer from the options given below:

    View Solution