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# 12 - Electromagnetics Workshop Week 12 Solutions...

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Electromagnetics Workshop – Week 12 Solutions Dielectrics and Review Problem 1 : Fused silica (SiO 2 ) has a relative permittivity of approximately 3.8. The density of fused silica is 2.2 [g/cm 3 ]. There are 21.44352×10 24 molecules per kg of fused silica. a) If an electric field of 1.0 [V/m] is applied to fused silica, what is the dipole moment of each molecule? b) Assuming that the charge q in the dipole formed by a single fused silica molecule is equal to four times the charge on a proton ( 19 1.602 10 p q - + = × [C]). Calculate the effective displacement distance d between the positive and negative charges inside the fused silica molecule when the electric field inside the fused silica is 1.0 [V/m]. ( 29 0 0 1 i N e r V χ ε ε = = = - p P E E Assuming all of the molecules in the volume have the same dipole moment, we can simplify to ( 29 ( 29 0 0 1 1 r i r i V N V N - = = - = E p P E p If i p and E are aligned we can also write ( 29 0 1 r i V N - = E

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12 - Electromagnetics Workshop Week 12 Solutions...

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