A wire of resistance $20 \Omega$ is divided into $10$ equal parts. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is_______.0$\Omega$.
JEE MAIN 2024, Diffcult
Download our app for free and get startedPlay store
Each part has resistance $=2 \Omega$

$2$ parts are connected in parallel so, $R=1 \Omega$

Now, there will be 5 parts each of resistance $1 \Omega$, they are connected in series.

$\mathrm{R}_{\mathrm{xq}}=5 \mathrm{R}, \mathrm{R}_{\mathrm{sq}}=5 \Omega$

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 $3\,^oC$ rise in temperature is observed in a conductor by passing a certain current. When the current is doubled, the rise in temperature will be ............. $^oC$
    View Solution
  • 2
    The circuit shown here is used to compare the $e.m.f.$ of two cells ${E_1}$ and ${E_2}({E_1} > {E_2})$. The null point is at $C$ when the galvanometer is connected to ${E_1}$. When the galvanometer is connected to ${E_2}$, the null point will be
    View Solution
  • 3
    Potential difference across a cell and current through a cell is shown in graph. A battery consists of such identical $40$ cells. Max current supplied by the battery through a load of $2.5\,\Omega $ equal to .............. $A$
    View Solution
  • 4
    The maximum current that flows through a fuse wire before it blows out varies with its radius as
    View Solution
  • 5
    The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure

    What is the value of current at $t = 4\,s$ ? ............... $\mu  A$

    View Solution
  • 6
    The relaxation time in conductors
    View Solution
  • 7
    The current between $B$ and $D$ in the given figure is .............. $amp$
    View Solution
  • 8
    Two resistors are connected $(a)$ in series $(b)$ in parallel. The equivalent resistance in the two cases are $9$ $ohm$ and $2$ $ohm$ respectively. Then the resistances of the component resistors are
    View Solution
  • 9
    In the given figure $R_1=10 \Omega, R_2=8 \Omega, R_3=4 \Omega$ and $R_4=8 \Omega$. Battery is ideal with emf $12 \mathrm{~V}$. Equivalent resistant of the circuit and current supplied by battery are respectively.
    View Solution
  • 10
    An ammeter with internal resistance $90\,\Omega $ reads $1.85\, A$ when connected in a circuit containing a battery and two resistors $700\,\Omega $ and $410\,\Omega $ in series. Actual current will be
    View Solution