In Circuit-$1$ and Circuit- $2$ shown in the figures, $R_1=1 \Omega, R_2=2 \Omega$ and $R_3=3 \Omega$. $P_1$ and $P_2$ are the power dissipations in Circuit-$1$ and Circuit-$2$ when the switches $S_1$ and $S_2$ are in open conditions, respectively. $Q_1$ and $Q_2$ are the power dissipations in Circuit-$1$ and Circuit-$2$ when the switches $S_1$ and $S_2$ are in closed conditions, respectively.

Which of the following statement($s$) is(are) correct?

$(A)$ When a voltage source of $6 V$ is connected across $A$ and $B$ in both circuits, $P_1$

$(B)$ When a constant current source of $2 Amp$ is connected across $A$ and $B$ in both circuits, $P_1>P_2$.

$(C)$ When a voltage source of $6 V$ is connected across $A$ and $B$ in Circuit-$1$, $Q_1>P_1$.

$(D)$ When a constant current source of $2 Amp$ is connected across $A$ and $B$ in both circuits, $Q_2$

  • A$A,B,D$
  • B$A,B,C$
  • C$A,B$
  • D$A,D$
IIT 2022, Advanced
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 cell of constant $e.m.f.$ first connected to a resistance ${R_1}$ and then connected to a resistance ${R_2}$. If power delivered in both cases is then the internal resistance of the cell is
    View Solution
  • 2
    In the circuit shown, the reading of the ammeter (ideal) is the same with both switches  open as with both closed find the value of resistance $R$ in $ohm$ . ................ $\Omega$
    View Solution
  • 3
    A current of $5\; {A}$ is passing through a non-linear magnesium wire of cross-section $0.04\; {m}^{2}$. At every point the direction of current density is at an angle of $60^{\circ}$ with the unit vector of area of cross-section. The magnitude of electric field at every point of the conductor is ....${V} / {m}$ (Resistivity of magnesium is $\rho=44 \times 10^{-8}\, \Omega m$)
    View Solution
  • 4
    In the given circuit, the current flowing through the resistance $20\  \Omega$ is $0.3 \mathrm{~A}$, while the ammeter reads $0.9 \mathrm{~A}$. The value of $\mathrm{R}_1$ is_____________ $\Omega$.
    View Solution
  • 5
    The figure shows a network of four resistances and three batteries Choose the correct alternative
    View Solution
  • 6
    Potential difference across the $40\,\Omega $ resistance will be ............ $V$
    View Solution
  • 7
    The internal resistance of a cell is the resistance of
    View Solution
  • 8
    $20\,\mu A$ current flows for $30$ seconds in a wire, transfer of charge will be
    View Solution
  • 9
    In a potentiometer arrangement. $E_1$ is the cell establishing current in primary circuit. $E_2$ is the cell to be measured. $AB$ is the potentiometer wire and $G$ is a galvanometer. Which of the following are the essential condition for balance to be obtained.
    View Solution
  • 10
    In the network shown in the following figure, each resistance is $1\,ohm.$ The effective resistance between $A$ and $B$ is
    View Solution