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, $Q_2$
IIT 2022, Advanced
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