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:

Three resistors each of resistance $10 \mathrm{\Omega }$ are connected parallel, If the effective resistance of the combination is $\frac{30}{n} \mathrm{\Omega }$. Find the value of $n$.

Three resistors are connected in parallel. The electric current $7.5 \mathrm{A}$ is flowing in this combination from a battery of emf $30 \mathrm{V}$. If the values of two resistors are $10 \mathrm{\Omega }$ and $12 \mathrm{\Omega }$, then write the value of third resistor in Ohms.

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 $B.$

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

The ring shown in the figure has zero resistance. The equivalent resistance between the points $A$ and $B$ will be,

The potential difference across $8 \mathrm{ohm}$ resistance is $48 \mathrm{volt}$ as shown in the figure. The value of potential difference across $X$ and $Y$ points will be :-

For what value of $R$ in the circuit as shown current passing through $4 \mathrm{\Omega }$ resistance will be zero :-

Equivalent resistance of the given network is $18 \mathrm{\Omega }$.