Re: [理工] [電磁]-海洋96-電機電波組
※ 引述《aacvbn ( 姿勢+)》之銘言:
: http://www.lib.ntou.edu.tw/exam/electric/96/6.pdf
: 第一題 圖在上面的連結@@
: An emf V is applied across a parallel-pate capacitor of area S.
: the space between the conducting plates is filled with two different
: lossy dielectrics of permittivities (ε_1) and (ε_2) ,
: and conductivities (σ_1) and (σ_2) respectively.
: These two dielectrics have the same thickness d.
: (1)Find the current density between the plates.
: (2)Determine the electric field intensities in both dielectrics.
: (3)Determine the surface charge densities on the plates and at the interface
: of the dielectrics.
: (Note: neglecting fringing effect at the edges of the plates) (20%)
令電流 I , J=I/S
E1= J/σ1 = I/Sσ1
E2= J/σ2 = I/Sσ2
Id
V = ∫E dr = E1*d+E2*d = ____(1/σ1 + 1/σ2)
S
VS
I = ________________ ______(*)
d(1/σ1 + 1/σ2)
V
J=I/S = __________________
d(1/σ1 + 1/σ2)
V V
E1=J/σ1 = __________________ , E2=J/σ2=________________
d(1/σ1 + 1/σ2)σ1 d(1/σ1 + 1/σ2)σ2
ρs(top) = D1 = ε1E1 =..
ρs(bottom) = -D2 = -ε2E2 = ..
ρs(interface) = D2-D1 = ..
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