BE Lesson 3: Capacitors What are capacitors? How are they used? How are they made? What are their sizes? What is an RC time constant?
(1663) Guericke invents friction based spark generating machine
Peter van Musschenbroek’s “Leyden Jar” (an early version of a capacitor) Metal Ball
BE demo 3-1. James Wimshurst’s electrostatic generator (1883) with Peter van Musschenbroek’s Leyden Jar (1745) ES demo 2-6
What are capacitors?
How capacitors work? Vs V c = 0 +Q = 0 -Q = 0 I c = 0 C = capacitance (farads) Q = electron or ion charge on metal plates (coulombs) I c = current (amps) Vs = DC voltage source (battery voltage) Vs VcVc Electric Field +Q -Q electrons Vs V s or Electric Field +Q -Q IcIc
Capacitor come in a large range of sizes. 1 micro-Farad = 1 F = 10 ^-6 farad = (1/1,000,000) Farad 1 nano-Farad = 1 nF = 10 ^-9 farad = (1/1,000) F 1 pico-Farad = 1 pF = 10 ^-12 farad = (1/1,000) nF
BE ckt 3-2. Observe how a capacitor operates uf volts LED 220 Adapted from Discover Electronics: Mr Circuit One, Electronic Kourseware Interactive, 2002 (
BE ckt 3-2 hookup diagram Normally open (NO) push button switch uf 220 LED volts Long lead of LED (+) goes up. + ES ckt 8-2
What is an RC time constant ( sec ? After one time-constant ( ), the capacitor is ~ 63% discharged. After 5 time-constants (5 ), the capacitor is ~ 99% discharged. This chart will help us choose the size capacitors and resistors for later projects.
BE ckt 3-3. Time constants for two example resistors uf VOM 9 volts
BE ckt 3-3 hookup diagram push button switch uf R volts :20 vdc Volt Meter ES ckt 8-4
What if we need a special size capacitor? How to calculate size if in series or parallel.