If the galvanometer $G$ does not show any deflection in the circuit shown,the value of $R$ is given by $............\Omega$.

$A$ cell of negligible internal resistance and $e.m.f.$ $2 \ V$ is connected to a series combination of $2 \ \Omega$,$3 \ \Omega$,and $5 \ \Omega$ resistors. The potential difference in volts between the terminals of the $3 \ \Omega$ resistor is:

$A$ potential divider is used to give outputs of $4\, V$ and $8\, V$ from a $12\, V$ source. Which combination of resistances $(R_1, R_2, R_3)$ gives the correct voltages? Find the ratio $R_1 : R_2 : R_3$.

In the given figure,each plate of the capacitor with capacitance $C$ has a charge. Find the charge on the capacitor.

Two bulbs are in parallel and they together consume $48\, W$ from a battery of $6\, V$. The resistance of each bulb is ............ $\Omega$.

The equivalent resistance between the points $A$ and $B$ will be (each resistance is $15 \Omega$): (in $\Omega$)