RC and RL Circuits
Study Guide
Exponential Functions
In physics, most exponential functions are governed by a
which has units of time.
time constant
The following graph shows a typical exponential decay:
(Exponential Decay)
Sometimes an exponential function approaches an equilibrium value
.
In this case, it is the
max
difference
that decays exponentially:
max
max
max
max
(Approaching
)
In some cases, it may also help to use the following derivative formula:
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Outline
Section 28.7: RC Circuits
A
is a circuit with a resistor and a capacitor.
It may also have a battery or other
RC circuit
voltage source.
The current in an RC circuit always dies away over time:
where
For an RC circuit without a battery, the voltage
across the capacitor and the charge
stored
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 Spring '10
 Turner
 Exponential Function, #, RC circuit, Exponential decay

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