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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 slower and
slower.
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.
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