100 likes | 125 Views
Fields and Waves. Lesson 5.1. TIME-VARYING FIELDS. Displacement Current. Ampere’s Law. Time varying field. Static field. Integral Form of Ampere’s Law for time varying fields. Displacement current I d. I C - Conduction Current [A].
E N D
Fields and Waves Lesson 5.1 TIME-VARYING FIELDS Lale T. Ergene
Displacement Current Ampere’s Law Time varying field Static field Integral Form of Ampere’s Law for time varying fields Displacement current Id IC- Conduction Current [A] – Electric Flux Density (Electric Displacement) [in C/unit area] - Current Density (in A/unit area)
Displacement Current Total current Displacement current density • Connection between electric and magnetic fields under time varying conditions
Example: Parallel Plate Capacitor Imaginary surface S1 ++++++++++++++++++++++++++++ + Imaginary surface S2 E-Field - - - - - - - - - - - - - - - - - - - - - - - - - - - - S1=cross section of the wire S2=cross section of the capacitor I1c, I1d : conduction and displacement currents in the wire I2c, I2d : conduction and displacement currents through the capacior
Example: Parallel Plate Capacitor In a perfect conductor I1d=0 From the circuit theory: Total current in the wire:
Example: Parallel Plate Capacitor Electrical charges can’t move physically through a perfect dielectric medium (zero conductivity) I2c=0 no conduction between the plates The electric field between the capacitors d :spacing between the plates
Example : Parallel Plate Capacitor The displacement current I2d • Displacement current doesn’t carry real charge, but behaves like a real current • if wire has a finite conductivity σ then Do Problem 1
Boundary Conditions • Boundary conditions derived for electrostatics and magnetostatics • remain valid for time-varying fields: dielectric-dielectric boundary dielectric-conductor boundary