Like charges
repel, unlike attract.
In the first
diagram, when the switch is closed, the negative terminal of the battery
repels the negative electrons and pushes them onto the upper plate of the
capacitor C.
Similarly, the
positive terminal attracts the negative electrons away from the lower plate.
If the battery
is now removed, C remains charged up to the battery voltage.
This can be
dangerous, since capacitors can remain charged to high voltages for a long
time.
If a screwdriver
is now placed across the capacitor terminals, the surplus electrons on
the upper plate will now flow to the lower plate.
The C is now
discharged.
Doing this can
also be dangerous.
The screwdriver
has a low resistance, and Mr Ohm says "low resistance means high current".
One vapourised screwdriver !!
Therefore large,
highly charged capacitors must be discharged via a resistor, to limit the
amount of discharge current that can flow.
In the second
diagram, a resistor R has been placed in series with C.
When the switch
is closed, C charges from the battery, as described previously.
The charging
current passes through R.
Since R limits
the amount of current that can flow (Ohms law), C takes time to charge
up to the battery voltage.
The larger the
values of C and R, the longer C takes to charge.
Liken it to
filling a bucket with a hosepipe.
The larger the
bucket (C), and the more you stand on the hosepipe (R), then the longer
it takes to fill the bucket.
The value of
C in Farads, multiplied by the value of R in ohms, gives us the TIME CONSTANT
(RC), measured in seconds.
If C = 2 Farads
and R = 10 ohms then RC = 20 seconds.
This means that
C will take 20 seconds to charge up to 63 % of the battery voltage.
If it is a 100
volt battery, then after 20 seconds, the capacitor voltage will be 63 volts.
If we draw a
graph of the increase of capacitor voltage against time, then we get a
curve that is not linear ( not a straight line).
The curve is
exponential.
It increases
rapidly at the start and then slows down.
It gets slooower
and sloooooower.

If C is discharged,
by connecting a resistor across it, then the capacitor voltage falls BY
63 % after RC seconds.
Time constants
are often used where a time delay is required. |