In the following star circuit diagram,the equivalent resistance between the points $A$ and $H$ will be ..............$r$.

If in the circuit,power dissipation is $150\, W$,then $R$ is ............... $\Omega$.

$A$ wire of resistance per unit length $\rho_L = 10^{-6} \, \Omega/m$ is bent into a circle of diameter $2 \, m$. $A$ piece of wire of the same material is connected across the diameter $AB$. Find the resistance between $A$ and $B$.

From the combination of resistors with resistance values $R_1 = R_2 = R_3 = 5 \ \Omega$ and $R_4 = 10 \ \Omega$,which of the following combinations is the best circuit to get an equivalent resistance of $6 \ \Omega$?

Three resistors of equal value $R$ are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation.

Eight resistances each of resistance $5\,\Omega$ are connected in the circuit as shown in the figure. The equivalent resistance between $A$ and $B$ is