Four resistances of $100 \ \Omega$ each are connected in the form of a square. Then,the effective resistance along the diagonal points is ............. $\Omega$.

What will be the most suitable combination of three resistors $A = 2 \, \Omega$,$B = 4 \, \Omega$,$C = 6 \, \Omega$ so that $\frac{22}{3} \, \Omega$ is the equivalent resistance of the combination?

The power consumed when $10 \ V$ voltage is applied to a series combination of $10$ resistors of each $1 \ \Omega$ is $P_{s}$ and the power consumed when the same $10 \ V$ is applied to the parallel combination of these $10$ resistors is $P_p$. The value of $\frac{P_{s}}{P_{p}}$ is

The total power dissipated in watts in the circuit shown is ............. $W$.

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.

For what value of $R$ will the net resistance of the circuit be $18 \, \Omega$?