maxwell’s equations = 10 -3 / cm 2 help!

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Page 1: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 2: Maxwell’s equations = 10 -3 / cm 2 Help!

0 Bv Dt

x

D

jH

tx

B

E

Maxwell’s equations

Page 3: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 4: Maxwell’s equations = 10 -3 / cm 2 Help!

= 10 -3 / cm2

Help!

Page 5: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 6: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 7: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 8: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 9: Maxwell’s equations = 10 -3 / cm 2 Help!

metal

z

w

d

metal

insulator

Page 10: Maxwell’s equations = 10 -3 / cm 2 Help!

d0

z0

w0 S

Edy

dxdz

zd

w

d

zw

s

s

V

QC

d

w

zE

Page 11: Maxwell’s equations = 10 -3 / cm 2 Help!

d

w

z

I

dydzwIz

0d0

zw

d

I

zdwI

IL m

B

Page 12: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 13: Maxwell’s equations = 10 -3 / cm 2 Help!

ba z

za

bln

2L

z

ab

ln

2C

Page 14: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 15: Maxwell’s equations = 10 -3 / cm 2 Help!

D

z

a

za2

DcoshL 1

z

a2D

coshC

1

Page 16: Maxwell’s equations = 10 -3 / cm 2 Help!

L

C

z z+z z-z

z

CC

z

LL

Page 17: Maxwell’s equations = 10 -3 / cm 2 Help!

t

)t,z(IzL

zz

)t,z(V)t,z(Vt,zV

zz lim

t,zV )t,zz(V t

)t,z(IzL

L

C

z z+z z-z

Page 18: Maxwell’s equations = 10 -3 / cm 2 Help!

L

C

z z+z z-z

t

)t,z(IL

z

)t,z(V

Page 19: Maxwell’s equations = 10 -3 / cm 2 Help!

L

C

z z+z z-z

t,zzI

zz lim

t

)t,z(VzC

)t,z(Izz

)t,z(It,zI

)t,z(It

)t,z(VzC

Page 20: Maxwell’s equations = 10 -3 / cm 2 Help!

L

C

z z+z z-z

t

)t,z(VC

z

)t,z(I

Page 21: Maxwell’s equations = 10 -3 / cm 2 Help!

L

C

z z+z z-z

t

)t,z(VC

z

)t,z(I

t

)t,z(IL

z

)t,z(V

Page 22: Maxwell’s equations = 10 -3 / cm 2 Help!

This is likeelectricalcircuits!

Page 23: Maxwell’s equations = 10 -3 / cm 2 Help!

tz

)t,z(IL

z

)t,z(V 2

2

2

t

)t,z(IL

z

)t,z(V

2

2

2

2

t

)t,z(VLC

z

)t,z(V

t

)t,z(VC

z

)t,z(I

tz

)t,z(I

L

Page 24: Maxwell’s equations = 10 -3 / cm 2 Help!

L

C

z z+z z-z

0t

)t,z(VLC

z

)t,z(V2

2

2

2

1v

LC

Page 25: Maxwell’s equations = 10 -3 / cm 2 Help!

1v

LC

1

vhenries farads

meter meter

faradshenries

meter

second

meters

Page 26: Maxwell’s equations = 10 -3 / cm 2 Help!

1v

LC

dw

wd

1

1

d

wC

w

dL

d

w

z

Page 27: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 28: Maxwell’s equations = 10 -3 / cm 2 Help!
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Page 31: Maxwell’s equations = 10 -3 / cm 2 Help!
Page 32: Maxwell’s equations = 10 -3 / cm 2 Help!

DIETARY SUPPLEMENT: In November of 1998, USA Today carried a full page ad for Vitamin O. “Vitamin O contains stabilized oxygen molecules in a solution of sodium chloride and distilled water” A two ounce bottle of Vitamin O cost $20.00.

The Federal Trade Commission charged the supplier, with fraud, and the company was shut down.

Page 33: Maxwell’s equations = 10 -3 / cm 2 Help!

DIETARY SUPPLEMENT: There is a new oxygen supplement, BiOxygen, http://www.bsassoon.net. The components of BiOxygen are water, sodium chloride, and activated oxygen molecules. A two ounce bottle of BiOxygen costs $34.95.

The recommended dose is 15-20 drops, twice a day, or roughly 0.0000002% of your minimum daily requirement for oxygen.

Page 34: Maxwell’s equations = 10 -3 / cm 2 Help!