Re: [理工] [電磁]-雲科90-電資所
※ 引述《aacvbn ( 姿勢+)》之銘言:
: http://www.lib.yuntech.edu.tw/exam_new/90/el.pdf
: 第14頁第2題 有附圖@@
: The insulator between the inner conducting cylinder a and outer
: cylindrical shell b is composed of four sectors of equal
: dimensions but different dielectric constants,
: ε_1 ε_2 ε_3 and ε_4 ,see Fig.2. The radius of cylinder a is (r_a)
: and the inner radius of outer cylindrical shell b is (r_b).
: In case the cylinders extend indefinitely ,
: find the capacitance per unit length.
令中央帶電+ρ_L , 外圍帶電-ρ_L
由Maxwell-equation ∫Dds = ρ_L → (D1+D2+D3+D4)*2πr/4 = ρ_L
ε1E+ε2E+ε3E+ε4E = 2ρ_L/πr , E = 2ρ_L/[πr(ε1+ε2+ε3+ε4)]
2ρ_L*ln(b/a)
V = ∫Edr = ____________________
[π(ε1+ε2+ε3+ε4)]
π(ε1+ε2+ε3+ε4)
C=ρ_L/V = _____________________ (F/m)
2ln(b/a)
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◆ From: 118.171.102.115
推
01/07 07:06, , 1F
01/07 07:06, 1F
→
01/07 07:41, , 2F
01/07 07:41, 2F
推
01/07 07:45, , 3F
01/07 07:45, 3F
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01/07 08:24, , 4F
01/07 08:24, 4F
→
01/07 08:26, , 5F
01/07 08:26, 5F
推
01/07 10:39, , 6F
01/07 10:39, 6F
推
01/07 11:41, , 7F
01/07 11:41, 7F
推
01/07 11:53, , 8F
01/07 11:53, 8F
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