In the given circuit,find the value of resistance $R$ if the current flowing through the circuit is $1 \, A$.

Four resistances $10 \ \Omega$,$5 \ \Omega$,$7 \ \Omega$ and $3 \ \Omega$ are connected to form the sides of a rectangle $AB$,$BC$,$CD$,and $DA$ respectively. Another resistance of $10 \ \Omega$ is connected across the diagonal $AC$. The equivalent resistance between $A$ and $B$ is ............. $\Omega$.

The equivalent resistance of the following infinite network of resistances is

The potential difference between points $A$ and $B$ of the adjoining figure is

In the given circuit diagram,the galvanometer reading is zero. If the internal resistance of the cell is neglected,then the value of $X$ is ......... $\Omega$.

$A$ coil of $100 \, W, 220 \, V$ is cut into two equal parts and connected in parallel. How much heat in $J$ is produced in $1 \, sec$?