Advertisements
Advertisements
Question
Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (11/3) Ω?
Advertisements
Solution
The resistance of the given resistors is,
R1 = 1 Ω, R2 = 2 Ω, R3 = 3 Ω
Equivalent resistance, R' = `11/3` Ω
Consider the following combination of the resistors.
Equivalent resistance of the circuit is given by,
R' = `(2 xx 1)/(2 + 1) + 3`
= `2/3 + 3`
= `11/3` Ω
RELATED QUESTIONS
Determine the current drawn from a 12 V supply with internal resistance 0.5 Ω by the infinite network shown in the figure. Each resistor has 1 Ω resistance.
ε1 and ε2 are two batteries having emf of 34V and 10V respectively and internal resistance of 1Ω and 2Ω respectively. They are connected as shown in the figure below. Using Kirchhoff’s Laws of electrical networks, calculate the currents I1 and I2.
Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (11/5) Ω?
Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (6/11) Ω?
Determine the equivalent resistance of networks shown in Fig.
Calculate the value of the resistance R in the circuit shown in the figure so that the current in the circuit is 0.2 A. What would b the potential difference between points B and E?
On which conservation principle is Kirchoff's Second Law of electrical networks based?
In the circuit shown in the figure below, E1 and E2 are two cells having emfs 2 V and 3 V respectively, and negligible internal resistance. Applying Kirchhoff’s laws of electrical networks, find the values of currents l1 and I2.
Twelve wires each having a resistance of 3 Ω are connected to form a cubical network. A battery of 10 V and negligible internal resistance is connected across the diagonally opposite corners of this network. Determine its equivalent resistance and the current along each edge of the cube.
State the principle of potentiometer.
A copper wire of 10-6 m2 area of cross-section, carries a current of 2 A. If the number of electrons per cubic meter is 8 × 1028, calculate the current density and average drift velocity.
In a potentiometer arrangement, a cell of emf 1.25 V gives a balance point at 35 cm length of the wire. If the cell is replaced by another cell and the balance point shifts to 63 cm, what is the emf of the second cell?
Kirchhoff’s second law is a consequence of law of conservation of ______.
Figure shows current in a part of an electrical circuit. Then current I is ______.
Assertion: Kirchhoff’s junction rule follows from conservation of charge.
Reason: Kirchhoff’s loop rule follows from conservation of momentum.
Two cell of 1.25 V and 0.75 V are connected parallel. The effective voltage will be:-
The e.m.f of The battery in a thermocouple is doubled. The rate of heat generated at one of the junction will.
What is the advantage of using thick metallic strips to join wires in a potentiometer?
Why are alloys used for making standard resistance coils?
The figure below shows two batteries, E1 and E2, having emfs of 18V and 10V and internal resistances of 1 Ω and 2 Ω, respectively. W1, W2 and W3 are uniform metallic wires AC, FD and BE having resistances of 8 Ω, 6 Ω and 10 Ω respectively. B and E are midpoints of the wires W1 and W2. Using Kirchhoff's laws of electrical circuits, calculate the current flowing in the wire W3:
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is:
What is a junction or node?
Which term is defined as the rate of flow of charge through a conductor?
What is potential difference?
Why must the amount of charge entering a junction per second equal the amount leaving when current is steady?
If currents \[I_1\] and \[I_2\] enter a junction and currents \[I_3\] and \[I_4\] leave it, which equation follows from Kirchhoff's First Law?
In a closed loop containing cells and resistors, what equals the total potential drop across the resistors?
At junction P, currents \[0.2\,\mathrm{A}\], \[0.6\,\mathrm{A}\], and \[0.7\,\mathrm{A}\] point towards P, while \[0.4\,\mathrm{A}\], \[0.5\,\mathrm{A}\], and \[I\] point away. What is the unknown current?
How are Kirchhoff's laws used in analysing a general network with several unknown branch currents?
