Lec13,14&15DieCap

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

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