An infinite network consists of repeated units. The equivalent resistance of this network of resistors does not change if:

$A$ and $B$ are two points on a uniform ring of resistance $19 \mathrm{\Omega }.$ The angle $\angle AOB=45°$. The equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$ is

The current in the $1 \mathrm{\Omega }$ resistor shown in the circuit is,

The voltage across the $10 \Omega$ resistor in the given circuit is $x$ volt.

The value of $x$ to the nearest integer is _____.

The effective resistance between $P$ and $Q$ for the following network is

In the given circuit, the value of current $i_2$ is,

Five identical resistors each of resistance $R=1500 \Omega$ are connected to a $300 \mathrm{V}$ battery as shown in the circuit. The reading of the ideal ammeter $A$ is

Five identical resistors, each of resistance $1 \mathrm{\Omega }$, are initially arranged as shown in the figure by clear lines. If two similar resistances are added as shown by the dashed lines, then change in resistance in final and initial arrangements is,

A Copper $\left(\mathrm{Cu}\right)$ rod of length $25 \mathrm{cm}$ and cross-sectional area $3{ \mathrm{mm}}^2$ is joined with a similar Aluminium $\left(\mathrm{Al}\right)$ rod as shown in figure. Find the resistance of the combination between the ends $A$ and $B.$

(Take resistivity of Copper $=1.7\times {10}^{-8} \mathrm{\Omega } \mathrm{m}$, Resistivity of aluminium $=2.6\times {10}^{-8} \mathrm{\Omega } \mathrm{m}$)

In the given figure switches $S_1$ and $S_2$ are in open condition. The resistance across $ab$ when the switches $S_1$ and $S_2$ are closed is ________$\mathrm{\Omega }.$