Combination of Resistors

A current of 9A enters point P of an equilateral triangle PQR having three wires of $3\ \Omega$ each and leaves by point R. The currents $I_1$ and $I_2$ are respectively

A wire of uniform resistance $\lambda\ \Omega/\text{m}$ is bent into a circle of radius $r$ and another piece of wire with length $2r$ is connected between points $A$ and $B(\text{AOB})$ as shown in figure. The equivalent resistance between points $A$ and $B$ is $\underline{\qquad}\ \Omega$ $\Omega$.

In the following circuit, the current in the $4\ \Omega$ resistance is $1.2$ A. The total current ($I$) flowing in the circuit is

Two known resistances of $R\ \Omega$ and $2R\ \Omega$ and one unknown resistance $X\ \Omega$ are connected in a circuit as shown in the figure. If the equivalent resistance between points $A$ and $B$ in the circuit is $X\ \Omega$, then the value of $X$ is __________ $\Omega$.

The equivalent resistance between the points $A$ and $B$ in the following circuit is $\frac{x}{5}\Omega$. The value of $x$ is ______.

A regular hexagon is formed by six wires each of resistance $r\ \Omega$ and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be

A wire of resistance $R$ is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is:

A wire of resistance $9\ \Omega$ is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _________ ohm.

From the combination of resistors with resistances values $R_1 = R_2 = R_3 = 5\ \Omega$ and $R_4 = 10\ \Omega$, which of the following combination is the best circuit to get an equivalent resistance of $6\ \Omega$?

A wire of resistance $R$ is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points $A$ and $B$ is $R/n$. The value of $n$ is:

A wire of length 25 m and cross-sectional area $5\text{ mm}^{2}$ having resistivity of $2 \times 10^{-6}\ \Omega\text{ m}$ is bent into a complete circle. The resistance between diametrically opposite points will be

A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

In the following circuit, current through ACB if each resistance $R = 4\ \Omega$ is

The current (I) drawn from the battery in the given circuit is

In the given circuit, current flowing through the circuit is

The reading of the ammeter in the following circuit is

Find the equivalent resistance between two ends of the following circuit

A wire of resistance $\text{R}$ and length $\text{L}$ is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be:

A wire of length '$l$' and resistance $100\ \Omega$ is divided into 10 equal parts. The first 5 parts are connected in series while the next 5 parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:

A wire of resistance $20\ \Omega$ is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is _________ $\Omega$.

A uniform metal wire of length $l$ has $10\ \Omega$ resistance. Now this wire is stretched to a length $2l$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is

In the circuit, current flowing through the circuit is

The effective resistance between $A$ and $B$, if resistance of each resistor is $R$, will be:

The equivalent resistance between A and B is:

In the given figure $R_1 = 10\ \Omega, R_2 = 8\ \Omega, R_3 = 4\ \Omega$ and $R_4 = 8\ \Omega$. Battery is ideal with emf $12\text{ V}$. Equivalent resistance of the circuit and current supplied by battery are respectively:

Equivalent resistance of the following network is __________ $\Omega$.

Twelve wires each having resistance $2\ \Omega$ are joined to form a cube. A battery of $6\text{ V}$ emf is joined across point $a$ and $c$. The voltage difference between $e$ and $f$ is ________ V.

10 resistors, each of resistance $\text{R}$ 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:

Given below are two statements:

Statement I: The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.

Statement II: The resistivity of the material is independent of temperature.

In the light of the above statements, choose the correct answer from the options given below:

10 resistors each of resistance 10 $\Omega$ can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be ___________.

Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be:

The equivalent resistance of the circuit shown below between points a and b is:

The equivalent resistance between A and B as shown in figure is:

The equivalent resistance between $A$ and $B$ of the network shown in figure;

The equivalent resistance between $A$ and $B$ is _________.

In the given circuit, the equivalent resistance between the terminal A and B is __________ $\Omega$.

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

Two metallic wires of identical dimensions are connected in series. If $\sigma_1$ and $\sigma_2$ are the conductivities of these wires respectively, the effective conductivity of the combination is:

Given below are two statements:

Statement I: A uniform wire of resistance $80\ \Omega$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be $5\ \Omega$.

Statement II: Two resistances 2R and 3R are connected in parallel in an electric circuit. The value of thermal energy developed in 3R and 2R will be in the ratio $3 : 2$.

In the light of the above statements, choose the most appropriate answer from the option given below

An electric cable of copper has just one wire of radius 9 mm. Its resistance is 14 $\Omega$. If this single copper wire of the cable is replaced by seven identical well insulated copper wires each of radius 3 mm connected in parallel, then the new resistance of the combination will be:

Eight copper wire of length $l$ and diameter $d$ are joined in parallel to form a single composite conductor of resistance $R$. If a single copper wire of length $2l$ have the same resistance $(R)$ then its diameter will be ____________ d.

The equivalent resistance of the infinite network given below is:

The equivalent resistance between points A and B in the given network is:

In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be $\sqrt{\frac{x}{2}}$. The value of x is __________.

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25$\Omega$. What will be the effective resistance if they are connected in series?

If you are provided a set of resistances 2$\Omega$, 4$\Omega$, 6$\Omega$ and 8$\Omega$. Connect these resistances so as to obtain an equivalent resistance of $\frac{46}{3}\Omega$.

Two resistors R1 = (4 $\pm$ 0.8) $\Omega$ and R2 = (4 $\pm$ 0.4) $\Omega$ are connected in parallel. The equivalent resistance of their parallel combination will be:

A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) 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 $\Omega$m and Resistivity of Aluminium = 2.6 $\times$ 10$-$8 $\Omega$m)

Two wires of same length and thickness having specific resistances 6$\Omega$ cm and 3$\Omega$ cm respectively are connected in parallel. The effective resistivity is $\rho\ \Omega$ cm. The value of $\rho$, to the nearest integer, is ____________.

The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equivalent resistance is 'p'. If s = np, then the minimum value for n is ____________. (Round off to the Nearest Integer)

A square shaped wire with resistance of each side 3$\Omega$ is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of $\Omega$ will be ___________.

A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2$\Omega$ each and leaves by the corner R. The currents i1 in ampere is _________.

In the given circuit, the current in 8$\Omega$ resistance is 1.5 A. The total current (I) flowing in the circuit is

Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio $\frac{i_3}{i_1}$ of currents in terms of resistances used in the circuit is:

The equivalent resistance of the given circuit between the terminals A and B is:

Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is:

The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x: 8. The value of x is ___________.

In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are closed is _____________ $\Omega$.

The equivalent resistance between $A$ and $B$ for the mesh shown in the figure is

A circular coil of radius $R$ has a resistance of $40\ \Omega$. Figure shows two points $P$ and $Q$ on the circumference separated by a distance $\frac{\pi R}{2}$ which are connected to a 16 V battery with internal resistance of $0.5\ \Omega$. What is the value of current $I$ flowing through the circuit?

A uniform metallic wire has a resistance of 18 $\Omega$ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is -

A metal wire of resistance 3 $\Omega$ is elongated to make a uniform wire of double its previous length. This new wire is now bent and the ends joined to make a circle. If two points on this circle make an angle 60° at the centre, the equivalent resistance between these two points will be :-

A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is: (E is mid-point of arm CD)

The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. The value of R is:

In the figure shown, what is the current (in Ampere) drawn from the battery?

You are given: R1 = 15$\Omega$, R2 = 10 $\Omega$, R3 = 20 $\Omega$, R4 = 5$\Omega$, R5 = 25$\Omega$, R6 = 30 $\Omega$, E = 15 V

In the given circuit all resistances are of value $R\text{ ohm}$ each. The equivalent resistance between $A$ and $B$ is:

A 9 V battery with internal resistance of 0.5 $\Omega$ is connected across an infinite network as shown in the figure. All ammeters A1, A2,3 and voltmeter V are ideal.

Choose correct statement.

Two metal wires of identical dimensions are connected in series. If $\sigma$1 and $\sigma$2 are their conductivities, the effective conductivity of the combination is

A 12 cm wire is given a shape of a right angled triangle ABC having sides 3 cm, 4 cm and 5 cm as shown in the figure. The resistance between two ends (AB, BC, CA) of the respective sides are measured one by one. Their ratio is

Six equal resistances are connected between points P, Q and R as shown in the figure. Then net resistance will be maximum between:

A letter 'A' is constructed of a uniform wire with resistance 1.0$\Omega$ per cm. The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60°. The resistance between the ends of the legs is close to:

A ring is made of a wire having a resistance R0 = 12 $\Omega$. Find the points A and B, as shown in the figure, at which a current carrying conductor should be connected so that the resistance R of the sub circuit between these point is equal to $\frac{8}{3}\Omega$.

A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure is

When a wire of uniform cross-section $a$ length $l$ and resistance R is bent into a complete circle. resistance between any two of diametrically opposite points will be

Resistance n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to

The resistance of the series combination of two resistances is $S.$ When they are joined in parallel the total resistance is $P.$ If $S = nP$ then the minimum possible value of $n$ is

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of $\frac{4}{3}$ and $\frac{2}{3}$, then the ratio of the current passing through the wires will be

Five equal resistances each of resistances R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be

The total current supplied to the circuit by the battery is

The net resistance of the circuit between A and B is

What will be the equivalent resistance between the two points $A$ and $D$?

Two wires of the same metal have same length, but their cross-sections are in the ratio $3 : 1$. They are joined in series. The resistance of thicker wire is $10\ \Omega$. The total resistance of the combination will be

In the network shown in the figure, each of the resistance is equal to $2\ \Omega$. The resistance between the points $A$ and $B$ is

Six resistors of $3\ \Omega$ each are connected along the sides of a hexagon and three resistors of $6\ \Omega$ each are connected along $AC, AD$ and $AE$ as shown in the figure. The equivalent resistance between $A$ and $B$ is equal to

Three resistances each of $4\ \Omega$ are connected to form a triangle. The resistance between any two terminals is

You are given several identical resistances each of value $R = 10\ \Omega$ and each capable of carrying a maximum current of one ampere. It is required to make a suitable combination of these resistances of $5\ \Omega$ which can carry a current of 4 ampere. The minimum number of resistances of the type $R$ that will be required for this job is

In the network shown in figure each resistance is $1\ \Omega$. The effective resistance between $A$ and $B$ is

$n$ equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance?