When the switch $S$, in the circuit shown, is closed, then the value of current $i$ will be ................. $A$.

In the given circuit diagram,a wire is joining points $B$ and $D$. The current in this wire is ............. $A$.

$A$ uniform wire of length $200 \, cm$ is connected to a battery, two resistors and a galvanometer as shown in the figure. The galvanometer shows null deflection when the jockey $J$ is at $80 \, cm$ from point $A$. If the resistor $R_2$ is shunted with $30 \, \Omega$ resistance, the galvanometer shows null deflection when the jockey $J$ is at $100 \, cm$ from point $B$. Then the values of $R_1$ and $R_2$ respectively are

Five equal resistances are connected in a network as shown in the figure. The net resistance between the points $A$ and $B$ is

Twelve equal resistors,each of resistance $R$,are connected to form a skeleton cube. The equivalent resistance between two diagonally opposite corners is:

Find the value of the current through the $2\,\Omega$ resistance for the given circuit. (in $,A$)