In the given figure, the current through the $4 \, \Omega$ resistor is ................. $A$.

In the figure shown,the capacity of the capacitor $C$ is $2\,\mu F$. The current in the $2\,\Omega$ resistor is ............... $A$.

$A$ bulb rated $30\,V, 90\,W$ is to be operated on a $120\,V$ supply. What resistance (in $\Omega$) must be connected in series with it?

In the figure shown,battery $1$ has $emf = 6\, V$ and internal resistance $= 1\, \Omega$. Battery $2$ has $emf = 2\, V$ and internal resistance $= 3\, \Omega$. The wires have negligible resistance. What is the potential difference across the terminals of battery $2$ (in $, V$)?

Two resistances,each equal to $R_0$ at $0\,^oC$,have temperature coefficients of resistance $\alpha_1$ and $\alpha_2$. When they are joined in series,the temperature coefficient of the equivalent resistance is:

Resistances of $6\, \Omega$ each are connected in the manner shown in the adjoining figure. With the current $0.5\, A$ as shown in the figure, the potential difference $V_P - V_Q$ is .............. $V$.