A current $I$ flows through a cylindrical cable of length $L$ and uniform cross-sectional area $A$. The power dissipated due to the current is $P_1$. The cable is cut into two equal halves. If the cross-sectional area and the current flowing through the two halves remain unchanged and the power dissipated in each half is $P_2$, which of these options is correct?

$$ \text { What is the effective resistance between } A \text { and } B \text { in the circuit shown below? } $$

In the given circuit, the box $B$ either contains a capacitor, or an inductor or a resistor. The current $I$ versus time $t$ plots for three cases $\left(a_1, a_2, a_3\right)$ are shown in figures. The switch $S$ is closed at time $t=0$. Which of the following is correct?

$$ \text { What is the equivalent resistance between the points } A \text { and } B \text { in the figure? } $$