capacitor
two conductors, isolated from each other and from their surrounding, form a capacitor. The charges on the conductors have the same magnitude q but opposite sign
capacitance of the capacitor C =
C = q / V
SI unit of capacitance
F(farad)
1 F = 1 C/V
How to calculating the Capacitance
parallel-plate capacitor
1) use Gauss’ law to relate q and E
2) integral the E to get the potential different
V = ∫ (-to+) E ds
= E ∫ (0 to d) ds
= E d
3) q = A ε0 V/d
C = q/V = A ε0/d
capacitors in parallel
并聯
C = Ca+Cb+….+Cn
capacitors in series
1/C = 1/Ca + 1/Cb + …. + 1/Cn