In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of $1 \mathrm{~A}$ flows through the $1 \Omega$ resistor. The key is closed at time $t=t_0$. Which of the following statement($s$) is(are) correct?

[Given: $\mathrm{e}^{-1}=0.36$ ]

($A$) The value of the resistance $R$ is $3 \Omega$.

($B$) For $t$

($C$) At $t=t_0+7.2 \mu \mathrm{s}$, the current in the capacitor is $0.6 \mathrm{~A}$.

($D$) For $t \rightarrow \infty$, the charge on the capacitor is $12 \mu C$.

  • A$A,B,C,$
  • B$A,B,D$
  • C$A,B,C,D$
  • D$A,C,D$
IIT 2023, Medium
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 cylindrical wire of radius $0.5 \,mm$ and conductivity $5 \times 10^{7}\, S / m$ is subjected to an electric field of $10 \,mV / m .$ The expected value of current in the wire will be $x ^{3} \,\pi mA$. The value of $x$ is ......
    View Solution
  • 2
    In given Network the equivalent resistance between $A$ and $B$ is .............. $\Omega$
    View Solution
  • 3
    In the circuit diagram shown in figure given below, the current flowing through resistance $3\, \Omega$ is $\frac{ x }{3}\,A$. The value of $x$ is $...........$
    View Solution
  • 4
    A cell sends a current through a resistance $R$ for time $t$. Now the same cell sends current through another resistance $r$ for the same time. If same amount of heat is developed in both the resistance, then the internal resistance of cell is
    View Solution
  • 5
    In steady state the potential difference across the capacitor is $10\,\, V.$ Each resistance is of $3\,\Omega $. The cell is ideal. The $emf$ of the cell is .............. $\mathrm{V}$
    View Solution
  • 6
    The resistances in $WSB$ circuit shown in the diagram all are different and the current through the galvanometer is zero. If all thermal effects are negligible, the current through the galvanometer will not be zero, when
    View Solution
  • 7
    A $100\, W \, bulb\, B_1$ and two $60\, W \,bulbs \,B_2$ and $B_3$, are connected to a  $220\, V$ source, as shown in Figure. Now $P_1, P_2$ and $P_3$ are the output powers  of the bulbs $B_1, B_2$ and $B_3$ respectively. Then
    View Solution
  • 8
    A coil takes $15\,\min$ to boil a certain amount of water, another coil takes $20\,\min$ for the same process. Time taken to boil the same amount of water when both coil are connected in series ........... $min$
    View Solution
  • 9
     A wire of resistance $4 \,\Omega$ is stretched to twice its original length. The resistance of stretched wire would be ........... $\Omega$
    View Solution
  • 10
    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$\Omega$.
    View Solution