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

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

For the circuit shown,with $R_1 = 1.0\,\Omega$,$R_2 = 2.0\,\Omega$,$E_1 = 2\,V$ and $E_2 = E_3 = 4\,V$,the potential difference between the points $a$ and $b$ is approximately (in $V$):

Four ammeters with identical internal resistances $r$ and a resistor of resistance $R$ are connected to a current source as shown in the figure. It is known that the reading of the ammeter $A_1$ is $I_1 = 3\ A$ and the reading of the ammeter $A_2$ is $I_2 = 5\ A$. Determine the ratio of the resistances $R/r$.

Calculate the current in wire $BD$ in the given circuit. (in $, A$)

In the given circuit,current $I$ is independent of the resistance $R_6$. Then