The resultant capacitance between $A$ and $B$ in the following figure is equal to.....$\mu F$
IIT 1977, Medium
Download our app for free and get startedPlay store
(a) The given circuit can be redrawn as follows

On further solving the network in similar manner equivalent capacitance obtained between $A$ and $B$ will be $1\, \mu F.$

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
    Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true
    View Solution
  • 2
    The two thin coaxial rings, each of radius $'a'$ and having charges $+{Q}$ and $-{Q}$ respectively are separated by a distance of $'s'.$ The potential difference between the centres of the two rings is :
    View Solution
  • 3
    A $5\, \mu F$ capacitor is charged fully by a $220\,V$ supply. It is then disconnected from the supply and is connected in series to another uncharged $2.5\;\mu F$ capacitor. If the energy change during the charge redistribution is $\frac{ X }{100} \;J$ then value of $X$ to the nearest integer is$.....$
    View Solution
  • 4
    A unit positive point charge of mass $m$ is projected with a velocity $V$ inside the tunnel as shown. The tunnel has been made inside a uniformly charged non conducting sphere. The minimum velocity with which the point charge should be projected such it can it reach the opposite end of the tunnel, is equal to
    View Solution
  • 5
    Four plates of equal area $A$ are separated by equal distances $d$ and are arranged as shown in the figure. The equivalent capacity is
    View Solution
  • 6
    The effective capacitances of two capacitors are $3\,\mu F$ and $16\,\mu F$, when they are connected in series and parallel respectively. The capacitance of two capacitors are
    View Solution
  • 7
    A network of four capacitors of capacity equal to $C_1 = C, C_2 = 2C, C_3 = 3C$ and $C_4 = 4C$ are conducted in a battery as shown in the figure. The ratio of the charges on $C_2$ and $C_4$ is
    View Solution
  • 8
    Given below are two statements.

    Statement $I$ : Electric potential is constant within and at the surface of each conductor.

    Statement $II$ : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.

    In the light of the above statements, choose the most appropriate answer from the options give below.

    View Solution
  • 9
    $n$ the rectangle, shown below, the two corners have charges ${q_1} = - 5\,\mu C$ and ${q_2} = + 2.0\,\mu C$. The work done in moving a charge $ + 3.0\,\mu C$ from $B$ to $A$ is.........$J$ $(1/4\pi {\varepsilon _0} = {10^{10}}\,N{\rm{ - }}{m^2}/{C^2})$
    View Solution
  • 10
    An electron of mass $m$ and charge $e$ is accelerated from rest through a potential difference $V$ in vacuum. The final speed of the electron will be
    View Solution