Combination of Resistors - Series and Parallel

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 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.

Find $R_{\mathrm{n}\mathrm{e}\mathrm{t}}$ between $A$ and $B.$

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

If the series combination of $1 \mathrm{\Omega }$, $2 \mathrm{\Omega }$ and $3 \mathrm{\Omega }$ are connected to a battery of emf $12 \mathrm{V}$ and negligible internal resistance, obtain the potential drop across each resistance.

Three resistors $1 \mathrm{\Omega }$, $2 \mathrm{\Omega }$ and $3\mathrm{\Omega }$ are connected in series. What is the total resistance of the combination?

Find the equivalent resistance between points of an infinite ladder network circuit as shown in the figure.

Find the equivalent resistance between a and b in the given circuit diagram.

A resistance wire of $8R$ is bent in the form of a circle, then what is its equivalent resistance across the ends of diameter.

There are 5 resistances each of $R \mathrm{\Omega }$. First three resistances are connected in parallel, after that remaining two are connected in series, then the equivalent resistance of the combination will be-

Two similar wires of same size of resistivity ${\rho }_1$ and ${\rho }_2$ are connected in series. Equivalent resistivity of the combination will be

For the circuit shown in the figure, the potential difference between point $a$ and $b$ will be, 

Find the minimum equivalent resistance that can be obtained by three resistance $2 \mathrm{\Omega },\hspace{0.17em}3 \mathrm{\Omega }$ and $6 \mathrm{\Omega }$.

Two resistors of resistances $R_1=(100\pm 3) \mathrm{\Omega }$ and $R_1=\left(200\pm 4\right) \mathrm{\Omega }$ are connected in parallel. The equivalent resistance of the parallel combination is

(For equivalent resistance use, $\frac{1}{R_p}=\frac{1}{R_1}+\frac{1}{R_2}$)