Capacitor Demos
Equipment:
- 2 90 microfarad electrolytic capacitors
- PASCO 36 Direct Current supply
- red, black, green and yellow cables
- grounding ring with insulated handles
The positive pole of the capacitors is the center three leads
(all soldered together). The negative pole is the outer can, which also
has four posts protruding on the top.
Safety precautions: These capacitors deliver shocks that can be much
worse than the Van da Graff. You should really avoid getting shocked:
- always ground the capacitors with the grounding ring before
handling (they might still have a charge from the previous
demo)
- always handle the cables by the insulated part
- when possible, work with one hand in your pocket, to avoid a
discharge though your chest
1. Energy stored in a capacitor:
Connect the red cable from the supply + (red) to the center post
of one capacitor. Connect the black cable from the - (black) to one of
the posts on the can. Turn on the supply and let it charge up to 200 V.
The supply delivers very little current, so this might take a few
minutes. Be prepared to talk about something in the mean time. When it
is fully charged:
- disconnect the red cable from the supply. Be careful to not
let it touch anything grounded.
- turn off the supply
- disconnect the black cable fro the supply and let it rest on
the table.
- point out to the student that the supply is completely
disconnected and turned off.
- touch the red banana plug to the black banana plug: Pow.
Concepts: The spark came from the capacitor, and not the
supply. The capacitor is a passive element, but it can store charge,
voltage, energy. The energy stored is (0.5)(90e-6F)(200V)^2=1.8 J.
Also, a capacitor is capable of delivering large currents. You can show
the difference by connecting the leads to the supply (and not the
capacitor), setting it to 200 V, and touching the leads together (with
the power on). There will not be any noticeable spark, because the
supply cannot provide enough current to spark.
Related applications: flash bulb circuits, auto ignitions, PC
power backups.
2. Series and parallel capacitance.
Repeat demo 1 with two capacitors connected in series.
- red: supply + to cap 1 +
- yellow: cap 1 - to cap 2 +
- black: cap 2 - to supply -
Charge, disconnect, and discharges as in demo 1 (yellow cable
remains in place). pow. Only 0.9 J.
Repeat with two capacitors in parallel:
- red: supply + to cap 1 +
- yellow: cap 1 + to cap 2 +
- green: cap 2 - to cap 2 -
- black: cap 1 - to supply -
Charge, disconnect, and discharges as in demo 1 (yellow cable
remains in place). POW. 3.6 J. (Note: this might weld the plugs
together. A little force will get them apart again.)
Concepts: Capacitances are larger when hooked in parallel,
smaller when hooked in series. For a fixed voltage, more energy is
stored in a larger capacitor. Note also that the two capacitors in
series charge much more quickly than the single capacitors, and the
parallel ones charge much more slowly. You can talk about RC circuits,
or you can just point out that the supply can only deliver a limited
amount of charge per unit time, and a larger capacitance needs a larger
charge to get to the same voltage.