In the given circuit,all resistances are of value $R \ \Omega$ each. The equivalent resistance between $A$ and $B$ is:

Two conductors have the same resistance at $0\,^{\circ}C$ but their temperature coefficients of resistance are $\alpha_1$ and $\alpha_2$. The respective temperature coefficients of their series and parallel combinations are nearly

Let there be $n$ resistors $R_1, \dots, R_n$ with $R_{\max} = \max \{R_1, \dots, R_n\}$ and $R_{\min} = \min \{R_1, \dots, R_n\}$. Show that when they are connected in parallel,the resultant resistance $R_p < R_{\min}$ and when they are connected in series,the resultant resistance $R_s > R_{\max}$. Interpret the result physically.

In the network shown in the following figure,each resistance is $1\,\Omega$. The effective resistance between $A$ and $B$ is

In the network shown in the figure,the equivalent resistance between points $X$ and $Y$ will be . . . . . . $\Omega$. The value of each resistor is $2 \Omega$.

Net resistance of the given circuit between $X$ and $Y$ is ............... $\Omega$.