Series and Parallel Combinations of Resistors

A wire of  $20\Omega$  resistance is gradually stretched to double its original length. It is then cut into two equal parts. These parts are then connected in parallel across a 4.0 volt battery. The current drawn from the battery is:

A (i) series (ii) parallel combination of two given resistors is connected, one – by – one, across a cell. In which will the terminal potential difference, across the cell, have a higher value?

(i) Calculate the equivalent resistance of the given electrical network between points $A$ and $B$.

(ii) Also calculate the current through $CD$, if a $10 \mathrm{V} DC$ source is connected between $A$ and $B$, and the value of $R$ is assumed as  $2\Omega$.

$10$ resistors, each of resistance $R$ are connected in series to a battery of emf $E$ and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased $n$ times. The value of $n$ is:

Find the equivalent resistance between the side of the cube, i.e., $R_{\mathrm{eq}}\left(AB\right)=?$

Find the equivalent resistance between point $A$ and $B$

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

Two wires of the same dimension but resistivity ${\rho }_1$, and ${\rho }_2$ are connected in series. The equivalent resistivity of the combination is

In the circuit shown, the potential difference across $PQ$ will be nearest to 

The equivalent resistance of the parallel combination of two resistors of $60 \mathrm{\Omega }$ and $40 \mathrm{\Omega }$ is _____.

Effective resistance between points $A$ and $B$ for the following network is: (each branch of resistance is $\mathrm{R}$ and there is one connecting wire)

Two resistances $60.36 \mathrm{\Omega }$ and $30.09 \mathrm{\Omega }$ are connected in parallel. The equivalent resistance is

The equivalent resistance between $A$ and $B$ is $6 \mathrm{\Omega }$. The value of $R_1$ is

Find the equivalent resistance between point $A$ and $B.$

The smallest resistance that can be obtained by the combination of $n$ resistors, each of resistance $R$ is,

Two electric bulbs, rated at $\left(25 \mathrm{W}, 220\mathrm{V}\right)$ and $\left(100 \mathrm{W}, 220 \mathrm{V}\right)$, are connected in series across a $220 \mathrm{V}$ voltage source. If the $25 \mathrm{W}$ and $100 \mathrm{W}$ bulbs draw powers $P_1$ and $P_2$, respectively, then

The equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given circuit is

Uncharged capacitors and resistance circuit is given. The equivalent resistance of the network between the points $\mathrm{A}$ and $\mathrm{B}$ is