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Charges and electric field

Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

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Page 1: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Charges and electric field

Page 2: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Coulomb´s law

Page 3: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

charges

Page 4: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Electric field

Page 5: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Electric field of a dipole

Dipole moment

Page 6: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Elementary charge

Probe the field by a „test“ charge q

Page 7: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Gauss law

flux

Page 8: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Electrical flux

Page 9: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside
Page 10: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Gauss law and Coulomb law

Page 11: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

E-Field of a conducting plate

Page 12: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Electrical potential

Applied work Wappl = q DV

Page 13: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Equipotential surfaces

Defined by DV=0,No work is done on a equipotential plane

Page 14: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Calculating potential in an electric field

Page 15: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Potential due to a point charge

A system of point charges

Page 16: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Calculating E from V

Page 17: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Capacity calculation

Page 18: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Parallel and Series connection of capacities

Page 19: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Energy stored in electric field

Dielectric constants

Page 20: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Dielectrics

Page 21: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Current and current density

i = dq/dt

1 Ampere = 1 A = 1 coulomb per second

i= i1 + i2

Page 22: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Resistance and resistivity

R = V/I Ohm´s law

1 Ohm = 1 W = 1 volt per ampere

r = E/J [Wm]

s = 1/r [1/Wm]

R= r L/A

J= s E

Page 23: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Power in Electric Circuits

Using Ohm´s law

Page 24: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Electrical circuits

EMF = electromotive force

Single loop circuit

Page 25: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Potential loop of a circuits

Page 26: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

Multiloop circuits

i1 + i3 = i2

Substitute : i3R3

Page 27: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

example

Page 28: Charges and electric field - Uni Siegen · 2018. 12. 13. · (Gauss' law with dielectric). q', q E.dA q, Gaussian surface (b) Gaussian surface (a) The initial electric field inside

RC - circuits

t= RC