16.360 Lecture 23

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# 16.360 Lecture 23 - PowerPoint PPT Presentation

16.360 Lecture 23. Static field. Dynamic Field. 16.360 Lecture 23. Faraday’s Law. 16.360 Lecture 23. Electromotive force. Stationary Loop in a Time-varying Magnetic field. Lenz’s law. 16.360 Lecture 23. Faraday’s law, differential form. An example:.

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## 16.360 Lecture 23

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16.360 Lecture 23

Static field

Dynamic Field

16.360 Lecture 23

16.360 Lecture 23

Electromotive force

Stationary Loop in a Time-varying Magnetic field

Lenz’s law

16.360 Lecture 23

An example:

(a) The magnetic flux link of a single turn

of the inductor.

(b) The transformer emf,.

(c) The polarity of the emf.

(d) The induced current.

16.360 Lecture 23

Example II

Determine the voltage drops across the

two resistors

16.360 Lecture 24

The ideal Transformer properties:

•  = 
• I = 0 in the core.
• The magnetic flux is confined within the core

Questions:

• I = ?, with applied voltage of V1and with RL
• V2, and I2=?

16.360 Lecture 24

Voltage transformer:

Power relations:

Why?

Current transformer:

Impedance transformer:

16.360 Lecture 24

Moving conductor in a static magnetic field:

16.360 Lecture 24

Another way to look at it:

Next lecture:

• The electromagnetic generator
• Moving conductor in a time varying magnetic field

16.360 Lecture 27

The electromagnetic generator

16.360 Lecture 27

Moving conductor in a time-varying magnetic field

Example:

I

16.360 Lecture 27

Displacement current

• Ampere’s law in static electric field
• Ampere’s law in time-varying electric field
• proof of Ampere’s law:

Displacement current density

16.360 Lecture 27

Displacement current

• Ampere’s law in time-varying electric field

Example:

16.360 Lecture 28

• Boundary conditions for Electromagnetic

Maxwell equations

boundary conditions

16.360 Lecture 28

• Charge-Current continuity Relation

charge current continuity equation

Kirchhoff’s current law

16.360 Lecture 28

• Free-charge dissipation in a conductor

16.360 Lecture 29

• Electromagnetic Potentials

Electrostatics:

Dynamic case:

16.360 Lecture 29

• Retard Potentials

Electrostatics:

Dynamic case:

16.360 Lecture 29

• Time-Harmonic Potentials

16.360 Lecture 29

• Time-Harmonic Potentials

if no free charge, trans-wave, why?

• example

find k?

n1

x

n2

z