{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture21_Kim

Lecture21_Kim - Lecture 21-1 PHYS241 Question 1 November 8...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 21-1 PHYS241 – Question 1 – November 8, 2011 To you, the Exam II was a. Much more difficult than expected b. More difficult than expected c. About as expected d. Easier than expected e. Much easier than expected
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Lecture 21-2 PHYS241 – Question 2 – November 8, 2011 On the Exam II, you think you did a. Very well b. Well c. Average d. Poorly e. Very poorly
Background image of page 2
Lecture 21-3 Maxwell’s Equations (so far) Gauss’s law 0 inside S Q E d A  Gauss’ law for magnetism 0 S B d A Faraday’s law B C d E dl dt    Ampere’s law 0 C B dl I
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Lecture 21-4 We have seen that a changing magnetic field induces an electric field Faraday’s Law of Induction : In a similar manner, a changing electric field induces a magnetic field Maxwell’s Law of Induction : where B is the magnetic field induced in a closed loop by a changing electric flux E in that loop as shown below B d E dl dt   00 E d B dl dt   We charge the capacitor and disconnect the battery Now let’s increase the charge as a function of time 0 enc B dl i Maxwell’s genralization of Ampere’s Law
Background image of page 4
Lecture 21-5 Maxwell-Ampere Law We can combine Maxwell’s Law of Induction with Ampere’s Law to write which is called the Maxwell-Ampere Law (not surprisingly!) 0 enc B dl i  0 0 0 E enc d B dl i dt   00 E d B dl dt  – For the case of constant current, such as current flowing in a conductor, this equation reduces to Ampere’s Law – For the case of a changing electric field without current flowing, such as the electric field between the plates of a capacitor, this equation reduces to the Maxwell Law of Induction is the displacement current . 0 E d d i dt where Displacement Current 0 0 0 0 () E enc d enc d B d l i i i     
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Lecture 21-6 Maxwell’s Equations Basis for electromagnetic waves! 0 inside S Q E d A  0 S B d A B C d E dl dt    0 00 C E B l i d d Integral Form Differential Form 0 0 0 0 (1) (2) 0 (3) (4) ˆˆ ˆ E B EB t B E j t x y z x y z         is the charge density and j is the curent density
Background image of page 6
Lecture 21-7 Derivation of the Wave Equation 2 2 2 2 2 2 2 2 (3) : ( ) ( ) ( ) ( ) (1) 0 0 EB t BAC CAB rule A B C B A C C A B E E E E E x y z  
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 21

Lecture21_Kim - Lecture 21-1 PHYS241 Question 1 November 8...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online