Consider the ladder network shown in figure. What should be the value of resistance $R$, so that effective resistance between $A$ and $B$ becomes independent of number of elements in the combination is ............. $\Omega$
Medium
Download our app for free and get startedPlay store
(b)

For $R=4 r$, the sequence repeats itself.

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
    First, a set of ${n}$ equal resistors of $10\; \Omega$ each are connected in series to a battery of emf $20\; {V}$ and internal resistance $10\; \Omega .$ A current $I$ is observed to flow. Then, the $n$ resistors are connected in parallel to the same battery. It is observed that the current is increased $20$ times, then the value of $n$ is .... .
    View Solution
  • 2
    When a current of $2\, A$ flows in a battery from negative to positive terminal, the  potential difference across it is $12\, V$. If a current of $3 \,A$ flows in the opposite  direction potential difference across the terminals of the battery is $15\, V$, the $emf$ of the  battery is ................ $\mathrm{V}$
    View Solution
  • 3
    Three light bulbs of $40\, W$, $60\, W$ and $100\, W$ are connected in series with $220\, V$ source. Which one of the bulbs will glow brightest ............ $W$
    View Solution
  • 4
    Two rods of copper and iron with the same cross-sectional area are joined at $S$ and a steady current $I$ flows through the rods as shown in the figure. Choose the most appropriate representation of charges accumulated near the junction $S$.
    View Solution
  • 5
    In the following circuit, the battery has an emf of  $2\mathrm{V}$ and an internal resistance of $\frac{2}{3}\  \Omega$. The power consumption in the entire circuit is$..... W.$
    View Solution
  • 6
    $\mathrm{A}$ circuit is comprised of eight identical batteries and a resistor $R = 0.8\,\Omega$ . Each battery has an $\mathrm{emf}$ of $1.0\, V$ and internal resistance of $0.2\,\Omega$ . The voltage difference across any of the battery is ............. $V$
    View Solution
  • 7
    $A$. The drift velocity of electrons decreases with the increase in the temperature of conductor.

    $B$. The drift velocity is inversely proportional to the area of cross-section of given conductor.

    $C$. The drift velocity does not depend on the applied potential difference to the conductor.

    $D$. The drift velocity of electron is inversely proportional to the length of the conductor.

    $E$. The drift velocity increases with the increase in the temperature of conductor.

    Choose the correct answer from the options given below:

    View Solution
  • 8
    Voltmeter reads potential difference across the terminals of an old battery as $1.2\,volt$ , while a potentiometer reads $1.4\,volt$ . The internal resistance of battery is $40\,\Omega $ , then voltmeter resistance is .............. $\Omega$
    View Solution
  • 9
    A capacitor is connected to a cell of $emf$ $E$ having some internal resistance $r$. The potential difference across the
    View Solution
  • 10
    Two bulbs, one of $200 \,W$ and the other of $100 \,W$ are connected in series with a $100 \,V$ battery which has no internal resistance. Then,
    View Solution