What is Inductance: Definition and 494 Discussions

Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor. The field strength depends on the magnitude of the current, and follows any changes in current. From Faraday's law of induction, any change in magnetic field through a circuit induces an electromotive force (EMF) (voltage) in the conductors, a process known as electromagnetic induction. This induced voltage created by the changing current has the effect of opposing the change in current. This is stated by Lenz's law, and the voltage is called back EMF.
Inductance is defined as the ratio of the induced voltage to the rate of change of current causing it. It is a proportionality factor that depends on the geometry of circuit conductors and the magnetic permeability of nearby materials. An electronic component designed to add inductance to a circuit is called an inductor. It typically consists of a coil or helix of wire.
The term inductance was coined by Oliver Heaviside in 1886. It is customary to use the symbol



L


{\displaystyle L}
for inductance, in honour of the physicist Heinrich Lenz. In the SI system, the unit of inductance is the henry (H), which is the amount of inductance that causes a voltage of one volt, when the current is changing at a rate of one ampere per second. It is named for Joseph Henry, who discovered inductance independently of Faraday.

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  1. S

    B Why does accelerating a loop through a constant magnetic field induce an EMF?

    So from Faraday's law, a change in the magnetic flux will induce an emf on a loop of wire. { \phi }_{ B }\quad =\quad BA\\ { \varepsilon }_{ ind }\quad =\quad \frac { d{ \phi }_{ B } }{ dt } (in this case a perpendicular field) From these equations, it looks like the only way to induce a...
  2. S

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    Homework Statement In the following figure, R1= 3.1 Ω, R2= 4.9 Ω, L1= 0.155 H, L2= 0.2 H and the ideal battery has ε = 5.6 V. Just after switch S is closed, at what rate is the current in inductor 1 changing? Homework Equations { \varepsilon }_{ induced }\quad =\quad L\frac { di }{ dt } \\...
  3. TheSodesa

    Mutual inductance of a long wire and a triangular loop?

    I originally posted this to the advanced homework -section, but maybe this isn't advanced enough to warrant being posted there :oops:. If a mod sees this, feel free to delete the original on the other forum. I'd do it myself, but I can't. 1. Homework Statement Calculate the mutual inductance for...
  4. gsmtiger18

    Line charge creating induced emf and displacement current

    Homework Statement A long, straight wire has a line charge, λ, that varies in time according to: λ = λ0 exp(-βt). A square wire loop of dimension a is located adjacent to the wire at a distance of a from the wire. Calculate expressions for the displacement current at the center of the wire loop...
  5. J

    Calculate superconductor's magnetic susceptibility from Inductance

    Homework Statement Hi, I have some data taken on voltage and resistance of a coil part of a yttrium barium copper oxicde (ycbo) superconductor. I have no information about the coil itself. A thermocouple attached to the superconductor also measured the temperature of it as it was cooled. This...
  6. M

    What Is the Voltage Across the Resistor in an LC Circuit with Given Parameters?

    Homework Statement In the following figure(Figure 1) switch S1 is closed while switch S2 is kept open. The inductance is L = 0.360 H, the resistance is R = 31.0 Ω , and the emf of the battery is 22.0 V . At time t after S1 is closed, the current in the circuit is increasing at a rate of di/dt =...
  7. Amr Elsayed

    Why Does Back EMF Decrease as Current Derivative Decreases in an LR Circuit?

    Good evening everyone. I have a misconception regarding self inductance. I know that back emf induced in an inductor starts with the same value of the original voltage source and then keeps decreasing to reach zero. I also know how this is related to the derivative of current with respect to...
  8. L

    Inductance of solenoid (length = diameter)

    Homework Statement a solenoid inductor consists of 200 closely spaced turns, length = diameter = 5cm. calculate inductance. Homework EquationsThe Attempt at a Solution H = NI/L L = N (flux) / I - you can't use this because the length is equal to the diameter. What equation do I use?
  9. Frank Coutinho

    Help understanding Partial Mutual Inductance

    I'm sure you are all familiar with calculating the inductance of a long transmission line. We first calculate the partial self inductance and we add to the partial mutual inductance due to the current in the other conductors. Looking at the image of a single-phase system, where I1 + I2 = 0...
  10. A

    Inductance of Square Coil Antenna on PCB

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  11. Marcin H

    How do I calculate the equivalent inductance in a circuit with diagonal wiring?

    Homework Statement Homework Equations Adding inductors in series and parallel (same as resistors) The Attempt at a Solution This is the first time I ran into a circuit like this with diagonal wiring and I am not sure how to treat it. Do I add the inductors in the triangle in series? So...
  12. Y

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    I've attached a picture of my book. So there is a figure of two inductors mutually connected. The book says that initially, current 1 and current 2 are zero. Then when current 1 goes from 0 to I1, the energy stored in circuit is only the energy in inductor 1. <-- This is my question, but...
  13. C

    Effective Voltage Calculation for Inductance Problem

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  14. T

    What is the problem with leakage inductance?

    The thread name is probably misleading, but I just want to make sure I'm clear in that: Are the only two problems caused by leakage inductance (stray magnetic flux causing imperfect mutual coupling) in a transformer, that of; - poorer voltage regulation & - EMI noise on other equipment (?)...
  15. L

    Electric field inside perfect conductor with inductance

    A constant voltage V is applied at the two ends of a cable which is a perfect conductor (e.g. a superconductor). Since the cable, anyway, has a non zero inductance L, the current inside it is not infinite but it is proportional to time t: i(t) = V/L * t. In this situation, how much it is the...
  16. A

    What is the self inductance of a circular loop of wire?

    If current I passes through a circular loop of radius R,then what will be the self inductance of that loop? (calculating flux through the loop leads to calculating magnetic field at every point inside the loop which is an elliptic integral.)
  17. cnh1995

    Inductance of a straight conductor

    I have read this chapter about calculating internal and external inductance of a straight wire here. http://nptel.ac.in/courses/Webcourse-contents/IIT-KANPUR/power-system/chapter_1/1_4.html Seeing the flux linked with the conductor itself, emf due to that flux induced in upper half and lower...
  18. kostoglotov

    Marginal inductance and capacitance of a real wire?

    Speaking just of long straight wires, not loops, coils or solenoids. Ideal wires have no resistance. Of course they would have no capacitance. And real wires have some very small amount of inductance, no? Firstly, would an ideal wire have some ideal nonzero inductance? Why/why not? After all...
  19. marciokoko

    Electromagnetic radiation vs Capacitance and Inductance

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  20. JasonHathaway

    Mutual Inductance Transfer function

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  21. C

    Calculate inductance of finite Solenoid

    Homework Statement A finite solenoid with "N" turns of wire, "L" length , "R" is the radius of the solenoid and passes through it a current "I". The objective is to calculate "L" of a finite solenoid. Not the basic formula ##L=\frac{\mu_0·N^2·S}{Length}## which is for a infinite solenoid. See...
  22. P

    Calculate length of wire needed for solenoid

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  23. xSpartanCx

    What is the voltage across an inductor in an LR circuit?

    Homework Statement An inductor is connected to the terminals of a battery that has an emf of 12.0Vand negligible internal resistance. The current is 4.86mA at 0.940ms after the connection is completed. After a long time the current is 6.45mA. Homework Equations V = IR V(t) = V0 (exp(-t/τ))...
  24. V

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  25. G

    Mutual Inductance Homework: What Happens?

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  26. J

    [Uni Physics 2] Inductance Problem

    Homework Statement Two identical long wires of radius a = 2.90 mm are parallel and carry identical currents of i = 5.00 A in opposite directions. Their center-to-center separation is W = 17.0 cm. Neglect the flux within the wires but consider the flux in the region between the wires. What is...
  27. R

    Calculating Inductance of a Solenoid with Multiple Isolated Loops

    I found this formula to approximate the inductance of a coil of wire. But what if a solenoid were composed of N separate loops, where each loop of the solenoid is connected to its own battery? That is, what if the solenoid had the same number of loops and the same geometry, except that each loop...
  28. Q

    (Self) Inductance of a straight current carrying wire, vol. 2

    This thread is continuation to: https://www.physicsforums.com/threads/self-inductance-of-a-straight-current-carrying-wire.461622/ It's a really old thread, but I happened to come across the same problem a while back and since the old thread does not give the correct answer, I decided to create...
  29. E

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    Suppose that a ferrite bead is put around a cable where a constant current I flows, just like in this image. The coordinate system has the z axis along the cable. Let's evaluate the current through the (x,y) plane: according to the Ampère's law, the only magnetic field component generated by...
  30. Mr Davis 97

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  31. A

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  32. T

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  33. G

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    Hello. Maybe this is the one of the most typical example in Electromagnetism textbook. There is a single round wire carrying current I (in D.C) with radius of R and length is infinity. From Ampere's law, the B field inside the wire is B = μIρ/2πR2 aθ where ρ is radial distance from...
  34. kelvin490

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  35. N

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  36. S

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    Given a flexible wire loop of a certain perimeter and planar shape, what are some good ideas to minimise the loop's inductance? For example, would it work if i surrounded the wire loop with a superconducting loop in the same plane?
  37. magnetpedro

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    I'm using a U-Shaped Ferrite Core with coils in both legs of the U. I've calculated it's inductance using an analogy between electric/magnetic circuits. L = N2/Rtotal where: N = number of turns of coil in both legs of the U; Rtotal is the total reluctance of my circuit = R1 + R2 R1 =...
  38. kelvin490

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  39. endiewibowo

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  40. S

    Number of turns in coil to get an output of 8V

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  41. rude man

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    rude man submitted a new PF Insights post Misconceiving Mutual Inductance Coefficients Continue reading the Original PF Insights Post.
  42. monkeymind

    Inductance problem: mass dropped above magnetic field

    Homework Statement "Consider a square metal picture frame of side length s, mass M, and total electrical resistance R. It is dropped from rest from a height H above a region of uniform magnetic field pointing into the page. The frame accelerates downward under the influence of gravity until...
  43. T

    Calculating Self and Mutual Inductance: A Derivation of Formulas Using Solenoids

    Homework Statement Homework Equations[/B] ∫BdL = μi Φ = BA (flux) S= NΦ/i (self inductance) M = NΦ/i (mutual inductance) The Attempt at a Solution a) ∫BdL = μi BL = μi B = μi/L since the solenoid has N1 turns B = μiN1/L b) flux Φ = BA = AμiN1/L self...
  44. PratyashAstro

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  45. W

    Calculating inductance of an LR and RLC Circuit?

    Homework Statement For both the LR and RLC circuit, a function generator is used to create a 1000 Hz square wwave of maximum amplitude. 1) For the following LR circuit, the resistance is set to a 100 Ohms. Determine the inductance, L. How does the inductance vary if the resistance were...
  46. W

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  47. W

    What is the Inductance of Parallel Wires in a Circuit?

    1. Two wires running parallel to each other in a circuit can provide an inductance that is adjustable with their length. For the loop shown below with length L=2m , width w=5cm , and wire radius a=1mm , find the inductance in H?Homework Equations3. I thought i could find the inductance by...
  48. P

    Engineering RLC Circuit (lab session doubt)

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  49. T

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  50. T

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