Find out equivalent capacitance between $A$ and $B$.
Diffcult
Download our app for free and get startedPlay store
Let $\mathrm{C}=\frac{\mathrm{A} \in_{0}}{\mathrm{d}} .$ Equivalent circuit

$\frac{1}{C_{e q}}=\frac{1}{C}+\frac{2}{3 C}=\frac{5}{3 C}$

${C_{eq}} = \frac{{3C}}{5} = \frac{{3A{ \in _0}}}{{5d}}$

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 $10\, mF$ is connected to a battery of emf $2\,V.$ It is found that it takes $50\, ms$ for the charge on the capacitor to become $12.6 \,mC.$ Then the resistance of the circuit is :.......$\, k \Omega$ (Take $1/e = 0.37$):-
    View Solution
  • 2
    Two capacitors each of $1\,\mu F$ capacitance are connected in parallel and are then charged by $200\;volts$ $d.c.$ supply. The total energy of their charges (in $joules$) is
    View Solution
  • 3
    The distance between the plates of a parallel plate condenser is $\,4mm$ and potential difference is $60\;volts$. If the distance between the plates is increased to $12\,mm$, then
    View Solution
  • 4
    Three different dielectrics are filled in a parallel plate capacitor as shown. What should be the dielectric constant of a material, which when fully filled between the plates produces same capacitance?
    View Solution
  • 5
    If the capacitance of each capacitor in the tetrahedron shown is $C$ , then effective capacitance of the network across any two junctions is ......$C$
    View Solution
  • 6
    A series combination of three capacitors of capacities $1\,\mu \,F,\,2\,\mu \,F$ and $8\,\mu \,F$ is connected to a battery of $e.m.f.$ $13\, volt$. The potential difference across the plates of $2\,\mu \,F$ capacitor will be.....$V$
    View Solution
  • 7
    The charge given to a hollow sphere of radius $10\, cm$ is $3.2×10^{-19}\, coulomb$. At a distance of $4\, cm$ from its centre, the electric potential will be
    View Solution
  • 8
    A charge $+q$ is fixed at each of the points $x = x_0,\,x = 3x_0,\,x = 5x_0$, .... upto $\infty $ on $X-$  axis and charge $-q$ is fixed on each of the points $x = 2x_0,\,x = 4x_0,\,x = 6x_0$, .... upto $\infty $ . Here $x_0$ is a positive constant. Take the potential at a point due to a charge $Q$ at a distance $r$ from it to be $\frac{Q}{{4\pi {\varepsilon _0}r}}$. Then the potential at the origin due to above system of charges will be
    View Solution
  • 9
    This question contains Statement$-1$ and Statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements.
    Statement$-1$ : For a charged particle moving from point $P$ to point $Q$, the net work done by an electrostatic field on the particle is independent of the path connecting point $P$ to point $Q$.
    Statement$-2$ : The net work done by a conservative force on an object moving along a closed loop is zero.
    View Solution
  • 10
    A parallel plate capacitor has plate area $A$ and separation $d$. It is charged to a potential difference $V_o$. The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plates is
    View Solution