Chapter 25 Capacitance In this chapter we will cover the following topics: -Capacitance C of a system of two isolated conductors. -Calculation of the capacitance for some simple geometries. -Methods of connecting capacitors (in series, in parallel). -Equivalent capacitance. -Energy stored in a capacitor. -Behavior of an insulator (a.k.a. dielectric) when placed in the electric field created in the space between the plates of a capacitor. -Gauss’ law in the presence of dielectrics. (25-1)
) V+ V- V q O q = CV (25-2)
+ -_ V (25-3)
-q +q (25-4)
V+ V- (25-5)
S P N (25-6)
S (25-7)
S (25-8)
(25-9)
(25-10)
(25-11)
(25-12)
- + dq' q' -q' V' q' q V' V Charge Voltage O A B (25-13)
- + q -q d A (25-14)
q -q q' -q' V V' (25-15)
q -q q' -q' V V' (25-16)
q conductor dielectric (25-17)
(25-18)
(25-19)
S (25-20)
(25-21)