Combination of Resistors - Series and Parallel

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  $2\Omega$.

Draw the unit step for the infinite ladder drawn below. What is the application of finding this step in solving network-related problems?

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

Find the equivalent resistance of the following infinite network:

Find the current drawn from a $6 \mathrm{V}$ supply by the infinite network shown in the figure below. 

Two infinite ladders of resistors are connected through a resistor CD as shown below. The equivalent resistance between points A and B is:

Four infinite ladder alike networks are combined as shown in figure .Each resistance is $R\Omega$. The equivalent resistance between $A$ and $B$ is $R_{\mathrm{\text{AB}}}$ and between $A$ and $C$ is $R_{\mathrm{\text{AC}}}.$ Let ratio $\frac{R_{\mathrm{\text{AB}}}}{R_{\mathrm{\text{AC}}}}\mathrm{\text{is}}\frac{x}{4}$ then find the value of $x$.

A wire has a resistance of $24 \mathrm{\Omega }$ is bent in the following shape. The effective resistance between $A$ and $B$ is $n \mathrm{\Omega }$. The value of $n$ is

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

A current of 6 A enters one corner $P$ of an equilateral triangle $\mathrm{PQR}$ having $3$ wires of resistance $2\Omega$ each and leaves by the corner $\mathrm{V}.$ The currents ${\mathrm{i}}_1$ in ampere is _______.

Three resistors are joined to form a triangle $\mathrm{ABC}$. The resistance of the sides$AB, BC$ and$CA$ are $40 \mathrm{\Omega }, 60 \mathrm{\Omega }$ and $100 \mathrm{\Omega }$ respectively. Find the equivalent resistance between points $A$ and $B$.

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

Three resistors $2\Omega$, $4\Omega$ and $5\Omega$ are joined in parallel and connected to battery of 20V and negligible resistance. Find the equivalent resistance.

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