Lec13,14&amp;15DieCap

# Lec13,14&amp;15DieCap - ECSE 351 Electromagnetic Fields...

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ECSE 351 Electromagnetic Fields McGill University – ECE Dept. - Prof. Milica Popovi ć Lectures 13, 14 & 15: Dielectrics and Capacitance Objective: we want to be able to: Observe and explain how dielectrics behave when exposed to electric field Generalize the boundary conditions for electric quantities on the opposite sides of an interface separating two different dielectric materials Define and determine capacitance for fundamental structures in electrostatics

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Dielectric materials ~ insulators McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic z How do they behave in electric field? We want to make an equivalent model: dielectric = arrangement of many dipoles in free space
Dielectric materials ~ insulators McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic z When we looked at dipoles before, we defined a dipole moment: p=Qd J GJ G d JG

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Polarization = dipole moment per unit volume McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic p=Qd J GJ G d JG nv i v0 i1 1 v lim Δ Δ→ = = Δ JJG Pp
Polarization = dipole moment per unit volume What happens in the vicinity of a defined surface in the dielectric? McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic nv i v0 i1 1 v lim Δ Δ→ = = Δ J GJ J G P p

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McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic Observe surface S and the charges in it: total charges = bound charges + free charges
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## This note was uploaded on 01/10/2011 for the course ECSE 351 taught by Professor Davis during the Winter '08 term at McGill.

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Lec13,14&amp;15DieCap - ECSE 351 Electromagnetic Fields...

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