Capacitors Capacitance is the ability of a component to store energy in the form of an electrostatic charge. A Capacitor is a component designed to provide a specific measure of capacitance. EGR 101 1 Capacitor Construction Parallel plates separated by a dielectric layer EGR 101 2 Fixed Value Capacitors • Polarized Electrolytic Capacitors • Most electrolytic capacitors are polarized EGR 101 3 Variable Capacitors Interleaved-Plate Capacitors EGR 101 4 Charging a Capacitor Electrostatic Charge Develops on the Plates Electrostatic Field Stores energy EGR 101 5 Discharging a Capacitor Apply a discharging component (here a short circuit) across the capacitor. (Safer to use a resistor!) EGR 101 6 Capacity (Capacitance) of a Device Capacity is the amount of charge that a capacitor can store per unit volt applied. Capacity is directly proportional to charge and inversely proportional to voltage Q C V or EGR 101 Q CV 7 Q C V or Q CV where C = the capacity (or capacitance) of the component, in coulombs per volt, or Farads Q = the total charge stored by the component V= the voltage across the capacitor EGR 101 8 Example EGR 101 9 Capacitor Ratings Most capacitors rated in the picofarad (pF) to microfarad (F) range Capacitors in the millifarad range are commonly rated in thousands of microfarads: 68 mF = 68,000 F Capacitors in the nanofarad range are also commonly rated in microfarads: 68 nF = 0.068 F EGR 101 10 Capacitors in the nanofarad range are also commonly rated in microfarads: 68 nF = 0.068 F Tolerance Usually fairly poor Variable capacitors used where exact values required EGR 101 11 Capacitor Value Codes • Physically large capacitors usually have their values printed directly on the case • Smaller capacitors are generally labeled using a code: – 2-digit code: the number represents the value of the component in pF Example: 15 = 15 pF – 3-digit code: the code is interpreted like the first three digits of a resistor code Example: 473 = 47 x 103 pF = 47 nF – The numbers 6 and 7 are not used as multiplier values – The numbers 8 and 9 are decoded as follows: 8 = 0.01 and 9 = 0.1 Example: 158 = 0.15 pF Capacitance of a Parallel Plate Capacitor C 8.85 10 EGR 101 12 A r d 13 C 8.85 10 12 A r d C = the capacity of the component, in farads (8.85 X 10-12)= the permittivity of a vacuum, in farads per meter (F/m) r = the relative permittivity of the dielectric A= the area of either plate, in square meters (m2) d = the distance between the plates, in meters (m) EGR 101 14 Plate Area: capacitance is directly proportional to plate area Dielectric Thickness: capacitance is inversely proportional to dielectric thickness Dielectric Permittivity: the ease with which lines of electrical force are established in the dielectric material Relative Permittivity: the ratio of a material’s permittivity to that of a vacuum EGR 101 15 Capacitors in Series CT 1 1 1 1 C1 C2 Cn CT = the total series capacitance Cn = the highest-numbered capacitor in the circuit EGR 101 16 Capacitors in Parallel CT C1 C2 Cn Cn = the highest-numbered capacitor in the parallel circuit EGR 101 17