$10$ wires (same length,same area,same material) are connected in parallel and each has $1 \ \Omega$ resistance,then the equivalent resistance will be .............. $\Omega$.

Six wires, each of resistance $r$, are connected so as to form a tetrahedron. The equivalent resistance of the combination when current enters through one corner and leaves through some other corner is

The effective resistance between points $A$ and $B$ for the following network is (each branch has a resistance of $R$):

For the shown circuit,find the effective resistance between the points $A$ and $B$.

Three voltmeters $A$,$B$ and $C$ having resistances $R$,$1.5 R$ and $3 R$ respectively are used in a circuit as shown. When a potential difference is applied between $X$ and $Y$,the readings of the voltmeters are $V_{1}$,$V_{2}$,and $V_{3}$ respectively. Then

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.