In the circuit shown,the value of each resistance is $r$. The equivalent resistance of the circuit between points $A$ and $B$ will be:

Three identical resistances $A$,$B$,and $C$ are connected as shown in the given figure. The heat produced will be maximum in:

$A$ wire of resistance $R$ is bent to form a square $ABCD$ as shown in the figure. The effective resistance between $E$ and $C$ is ( $E$ is the mid-point of arm $CD$ ).

The potential difference between the points $P$ and $Q$ in the circuit shown is: (in $\text{ V}$)

Six resistances each of value $r = 6\,\Omega$ are connected between points $A, B$ and $C$ as shown in the figure. If $R_1, R_2$ and $R_3$ are the net resistance between $A$ and $B$,between $B$ and $C$,and between $A$ and $C$ respectively,then $R_1 : R_2 : R_3$ will be equal to:

The equivalent resistance between points $A$ and $B$ in the given network is: (in $\Omega$)