Find the current passing through the battery immediately after the key $(K)$ is closed. It is given that initially all the capacitors are uncharged. (Given that $E = 5 \, V$, $R = 6 \, \Omega$) (in $A$)

Given below are two statements:
Statement $I:$ The equivalent resistance of resistors in a series combination is smaller than the least resistance used in the combination.
Statement $II:$ The resistivity of the material is independent of temperature.
In the light of the above statements,choose the correct answer from the options given below:

$A$ wire of cross-section area $A$,length $L_1$,resistivity $\rho_1$ and temperature coefficient of resistivity $\alpha_1$ is connected to a second wire of length $L_2$,resistivity $\rho_2$,temperature coefficient of resistivity $\alpha_2$ and the same area $A$,so that the wires carry the same current. The total resistance $R$ is independent of temperature for small temperature changes if (Thermal expansion effect is negligible):

In the circuit shown,the thermal power dissipated in $R_1$ is $P$. The thermal power dissipated in $R_2$ is

In the circuit shown in the figure, if the ammeter and voltmeter are ideal, then the power consumed in the $9 \, \Omega$ resistor will be .......... $W$.

The effective resistance between points $P$ and $Q$ of the electrical circuit shown in the figure is