Chapter 6 Inductance. 23/15/2016 N S S v change Review example Determine the direction of current in the loop for bar magnet moving down. Initial flux.

Slides:



Advertisements
Similar presentations
Chapter 11 Inductors.
Advertisements

Inductance Self-Inductance RL Circuits Energy in a Magnetic Field
Chapter 31B - Transient Currents and Inductance
Inductors and Inductance A capacitor can be used to produce a desired electric field. Similarly, an inductor (symbol ) can be used to produce a desired.
Induced EMF and Inductance 1830s Michael Faraday Joseph Henry.
Dr. Jie ZouPHY Chapter 32 Inductance. Dr. Jie ZouPHY Outline Self-inductance (32.1) Mutual induction (32.4) RL circuits (32.2) Energy in a.
RL Circuits PH 203 Professor Lee Carkner Lecture 21.
Physics 121: Electricity & Magnetism – Lecture 11 Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research.
G L Pollack and D R Stump Electromagnetism Electromagnetic Induction Faraday’s law If a magnetic field changes in time there is an induced electric.
Electromagnetic Induction
Ch. 30 Inductance AP Physics. Mutual Inductance According to Faraday’s law, an emf is induced in a stationary circuit whenever the magnetic flux varies.
Physics 2102 Inductors, RL circuits, LC circuits Physics 2102 Gabriela González.
-Self Inductance -Inductance of a Solenoid -RL Circuit -Energy Stored in an Inductor AP Physics C Mrs. Coyle.
Self-Inductance When the switch is closed, the current does not immediately reach its maximum value Faraday’s law can be used to describe the effect.
AP Physics C Montwood High School R. Casao
INDUCTANCE. When the current in a loop if wire changes with time, an emf is induced in the loop according to Faraday’s law. The self- induced emf is Ɛ.
Chapter 32 Inductance.
Induction and Inductance Chapter 30 Magnetic Flux.
Lect. 15: Faraday’s Law and Induction
Chapter 32 Inductance. Joseph Henry 1797 – 1878 American physicist First director of the Smithsonian Improved design of electromagnet Constructed one.
Chapter 30 Inductance. Self Inductance When a time dependent current passes through a coil, a changing magnetic flux is produced inside the coil and this.
1 Faraday’s Law Chapter Ampere’s law Magnetic field is produced by time variation of electric field.
Chapter 32 Inductance. Self-inductance  A time-varying current in a circuit produces an induced emf opposing the emf that initially set up the time-varying.
Chapter 32 Inductance. Introduction In this chapter we will look at applications of induced currents, including: – Self Inductance of a circuit – Inductors.
Chapter 10 Inductance. 2 Objectives –After completing this chapter, the student should be able to: Explain the principles of inductance. Identify the.
Chapter 20 Induced Voltages and Inductance. Faraday’s Experiment A primary coil is connected to a battery and a secondary coil is connected to an ammeter.
15/25/2016 General Physics (PHY 2140) Lecture 18  Electricity and Magnetism Induced voltages and induction Generators and motors Self-induction Chapter.
Inductance and Magnetic Energy Chapter 32 Mutual Inductance Self-Inductance Inductors in Circuits Magnetic Energy.
Chapter 20 Induced Voltages and Inductance. Faraday’s Experiment – Set Up A current can be produced by a changing magnetic field First shown in an experiment.
Chapter 20 Induced Voltages and Inductance. General Physics Inductors & RL Circuits Sections 5–8.
Chapter 20 Self-Inductance LR Circuits Motional EMF.
Induced Voltages and Inductance
Chapter 22: Electromagnetic Induction Essential Concepts and Summary.
Chapter 32 Inductance L and the stored magnetic energy RL and LC circuits RLC circuit.
AP Physics C III.E – Electromagnetism. Motional EMF. Consider a conducting wire moving through a magnetic field.
110/16/2015 Applied Physics Lecture 19  Electricity and Magnetism Induced voltages and induction Energy AC circuits and EM waves Resistors in an AC circuits.
Chapter 30 Inductance. Inductor and Inductance Capacitor: store electric energy Inductor: store magnetic energy Measure how effective it is at trapping.
Induced Voltage and Inductance
When the switch is closed, the current does not immediately reach its maximum value Faraday’s law can be used to describe the effect As the source current.
Self Inductance. A variable power supply is connected to a loop. The current in the loop creates a magnetic field. What happens when the power supply.
Chapter 32 Inductance. Joseph Henry 1797 – 1878 American physicist First director of the Smithsonian Improved design of electromagnet Constructed one.
Magnetic Flux and Faraday’s Law of Induction
Chapter 32 Inductance. Self-inductance Some terminology first: Use emf and current when they are caused by batteries or other sources Use induced emf.
Slide 1Fig 32-CO, p Slide 2  As the source current increases with time, the magnetic flux through the circuit loop due to this current also increases.
INDUCTANCE. When the current in a loop if wire changes with time, an emf is induced in the loop according to Faraday’s law. The self- induced emf is Ɛ.
Copyright © 2009 Pearson Education, Inc. Chapter 32: Inductance, Electromagnetic Oscillations, and AC Circuits.
Electro- magnetic Induction Lecture 3 AP Physics.
P212c31: 1 Chapter31: Inductance Currents create magnetic fields Changing currents create changing magnetic fields Changing magnetic fields induce EMF’s.
23.5 Self-Induction When the switch is closed, the current does not immediately reach its maximum value Faraday’s Law can be used to describe the effect.
Faraday’s Law.
Determine the mathematical models that capture the behavior of an electrical system 1.Elements making up an electrical system 2.First-principles modeling.
Chapter 30 Lecture 31: Faraday’s Law and Induction: II HW 10 (problems): 29.15, 29.36, 29.48, 29.54, 30.14, 30.34, 30.42, Due Friday, Dec. 4.
Lecture 10 Induction Applications Chapter 20.6  20.8 Outline Self-Inductance RL Circuits Energy Stored in a Magnetic Field.
Inductance CHAPTER OUTLINE 32.1 Self-Inductance 32.3 Energy in a Magnetic Field Chapter 32.
AP Physics C III.E – Electromagnetism. Motional EMF. Consider a conducting wire moving through a magnetic field.
Chapters 17 through 23 Midterm Review. Midterm Exam ~ 1 hr, in class 15 questions 6 calculation questions One from each chapter with Ch. 17 and 18 combine.
Chapter 30: Induction and Inductance This chapter covers the following topics: -Faraday’s law of induction -Lenz’s Law -Electric field induced by a changing.
Chapter 21 Magnetic Induction and Chapter 22.9: Transformers.
Physics 213 General Physics Lecture Last Meeting: Self Inductance, RL Circuits, Energy Stored Today: Finish RL Circuits and Energy Stored. Electric.
Inductance of a solenoid
Inductance and Capacitance Response of First Order RL and RC
Coils sharing the same magnetic flux, BA
General Physics (PHY 2140) Lecture 18 Electricity and Magnetism
General Physics (PHY 2140) Lecture 19 Electricity and Magnetism
Physics 014 Induction.
Chapter 32 Inductance 32-1 Self-Inductance 32-3 Energy of a Magnetic Field.
Chapter 32 Inductance 32-1 Self-Inductance 32-3 Energy of a Magnetic Field.
Chapter 32 Inductance 32-1 Self-Inductance 32-3 Energy of a Magnetic Field.
Chapter 31B - Transient Currents and Inductance
Chapter 32 Inductance 32-1 Self-Inductance
Presentation transcript:

Chapter 6 Inductance

23/15/2016 N S S v change Review example Determine the direction of current in the loop for bar magnet moving down. Initial flux Final flux By Lenz’s law, the induced field is this

Self Inductance 3 A self-induced emf is always proportional to the time rate of change of the current. For any coil, we find that where L is a proportionality constant—called the inductance Combining this expression with Faraday’s law, We can also write

43/15/2016 Inductor in a Circuit Inductance can be interpreted as a measure of opposition to the rate of change in the current Remember resistance R is a measure of opposition to the current Remember resistance R is a measure of opposition to the current As a circuit is completed, the current begins to increase, but the inductor produces an emf that opposes the increasing current Therefore, the current doesn’t change from 0 to its maximum instantaneously Therefore, the current doesn’t change from 0 to its maximum instantaneously Maximum current: Maximum current:

53/15/ Energy stored in a magnetic field The battery in any circuit that contains a coil has to do work to produce a current Similar to the capacitor, any coil (or inductor) would store potential energy Summary of the properties of circuit elements. ResistorCapacitorInductor units ohm,  = V / A farad, F = C / Vhenry, H = V s / A symbolRCL relationV = I RQ = C V emf = -L (  I /  t) power dissipated P = I V = I² R = V² / R 00 energy stored0PE C = C V² / 2PE L = L I² / 2

63/15/2016 Example: stored energy A 24V battery is connected in series with a resistor and an inductor, where R = 8.0  and L = 4.0H. Find the energy stored in the inductor when the current reaches its maximum value.

73/15/2016 A 24V battery is connected in series with a resistor and an inductor, where R = 8.0  and L = 4.0H. Find the energy stored in the inductor when the current reaches its maximum value. Given: V = 24 V R = 8.0  L = 4.0 H Find: PE L =? Recall that the energy stored in th inductor is The only thing that is unknown in the equation above is current. The maximum value for the current is Inserting this into the above expression for the energy gives