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Page 1: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 2: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

at all time outside the element : d B

dt0

at all time inside the element : dQenc

dt0

Page 3: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

Page 4: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 5: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 6: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 7: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 8: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 9: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

Page 10: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

vijdw

dq

Page 11: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

idq

dtq(t) = i(t)dt

t

Page 12: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

Page 13: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

i

Page 14: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

pdw

dt

Page 15: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i
Page 16: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

Example: v = -1 V, i = 1 A= -vi = 1W

Page 17: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

Page 18: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

Page 19: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

iknode k

= 0

vijloop l

= 0

Page 20: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

+–VBATTERY

Page 21: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

+–VBATTERY

EL

• d l =d B

dtE

c

a

• d l + Ea

b

• d l + Eb

c

• d l = 0 Vac +Vba +Vcb = 0

Page 22: web.ewu.eduweb.ewu.edu/.../Claudio/ee209/f09/Lectures/variables.pdf ·  · 2009-09-29NOTE: this does not mean the power is negative. It depends on the numerical values of v and i

+–VBATTERY

JS• dS =

dQenc

dtI ca + I ba + I da = 0