By using only two resistance coils—singly,in series,or in parallel—one should be able to obtain resistances of $3$,$4$,$12$,and $16\,\Omega$. The separate resistances of the coils are:

$A$ wire of resistance $100 \Omega$ is stretched so that its length increases by $20 \%$. The stretched wire is then bent in the form of a rectangle whose length and breadth are in the ratio $3: 2$. The effective resistance between the ends of any diagonal of the rectangle is (in $\Omega$)

For the mixed connection shown in the figure,derive the equation for the equivalent resistance.

The equivalent resistance between $A$ and $B$ for the mesh shown in the figure is ......... $\Omega$.

The voltage across the $10 \, \Omega$ resistor in the given circuit is $x$ volt. The value of $x$ to the nearest integer is..........

The total power dissipated (in $watt$) in the circuit shown is