Instructor Outline: Capacitors UM Physics Demo Lab 07/2013 Lab length: 70 minutes Lab objective: Instruct the students about capacitors, capacitance and electrical energy storage. Materials 1 1 1 1 Battery Board Alligator Lead card Capacitor Roll Aluminum Foil 3 3 1 1 Transparency sheets Catalog Sheets Multimeter pair of Scissors 1 1 1 1 Heavy Item (Book) - 3V bulb Clear Plastic Ruler Marking Pen Exploration stage: 30 minutes - Group Lab work The students observe the behavior of a capacitor in a charging and then a discharging circuit. Analysis stage: 10 minutes – Lecture Capacitance is defined as C in a capacitor Q and the instructor explains electrical energy storage V E = ½ C V 2. Application stage: 30 minutes – Group Lab Work The students work in groups again to build capacitors and explore how the geometry and the permittivity of the dielectric contribute to capacitance. These capacitors cannot store enough energy to power a bulb or LED but they illustrate clearly how capacitance varies with area, permittivity and plate separation. Concepts Developed: 1. Capacitors store electric charge by separating charge of opposite sign on the plates of the capacitor. 2. The separated charges on a capacitor also store electric potential energy since a potential difference must exist across the plates of the charged capacitor on which the charge resides. 3. Capacitance is defined as (charge)/(potential difference): C = Q/V. 4. Capacitance is a measure of efficiency—a large capacitor is efficient because it stores a large amount of charge at a low potential difference which means that relatively little work was required to move the charge onto the plates of the capacitor working against electric forces. By contrast, a small capacitor requires a large potential difference to store the same amount of charge as a larger capacitor and much more work must be done against electric forces to move the charge onto the plates. A small capacitor is therefore less efficient at storing charge. 5. The energy stored in a capacitor can be calculated in terms of the capacitance and potential difference across the plates as E = ½ CV 2. 6. The capacitance of a parallel-plate capacitor is proportional to the area of the plates and the permittivity of the dielectric material between the plates and inversely proportional to the distance of separation between the plates: C = ε A/d. Property of LS&A Physics Department Demonstration Lab Copyright 2006, The Regents of the University of Michigan, Ann Arbor, Michigan 48109 Suggested Demonstrations: 5C30.20-2 - Killer Capacitor Shows the magnitude of the electrical energy stored in a capacitor. 5C10.10 - Examples of Capacitors Includes unraveled miles of aluminum 5C10.20u1 - Potential Rise in a Parallel-Plate Capacitor: Good for after application stage of lab to test the equation they learned. Energy Stored in a Capacitor: Introductory Lab apparatus using motor and gears to lift a 300g mass to demonstrate the energy stored in a 1 F capacitor as mechanical work. Double the potential and raise the mass four times as high. Discharge a 1 F intro-lab capacitor charged to 6V through a light bulb, again to demonstrate stored energy. Supplemental Tasks: Go into dielectric materials and permittivity. Build a functional capacitor: fill a film canister with water. Puncture the lid, insert a nail. Wrap the canister with aluminum foil. The capacitor can be charged with an electrophorus plate or a piezo-charger. It can be used to light an LED. Property of LS&A Physics Department Demonstration Lab Copyright 2006, The Regents of the University of Michigan, Ann Arbor, Michigan 48109