The effective resistance between points $A$ and $B$ for the following network is (each branch has a resistance of $R$):

The current $I$ flowing through the given circuit will be $.....A$.

If you are provided with three resistors of $2 \,\Omega$,$3 \,\Omega$,and $6 \,\Omega$,how will you connect them to obtain an equivalent resistance of $4 \,\Omega$?

$A$ wire is bent in the form of a circle of radius $2 \ m$. The resistance per unit length of the wire is $\frac{1}{\pi} \ \Omega/m$. $A$ battery of $6 \ V$ is connected between points $A$ and $B$ as shown in the figure. Given $\angle AOB = 90^{\circ}$,find the current flowing through the battery. (in $A$)

Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is

Calculate the equivalent resistance across $A-B$ in the given circuit. ............... $\Omega$