The Equivalent Circuit
Fig. 1 shows the basic circuit for AC
coupling a signal to the load, where RT is the total resistance of
the circuit, consisting mainly of the sum of the source and load resistance, and
C is the coupling capacitor. The
time constant, τ
of the circuit is RTC, and it has the unit of
µs
if RT is in Ohms and C is in
µF,
or ns if RT is in kΩ and C is in pf.
Fig. 1 Basic AC-Coupling Circuit
For example
- If RT = 50 Ω (0.05 kΩ) and C = 100 pf,
then τ = 5 ns.
- If RT = 100 Ω (0.1 kΩ) and C = 100 µf,
then τ = 100 µs.
In most practical
cases, the stray capacitance across the load can be neglected.
When a voltage step with amplitude E is
applied to the input at τ0, the output immediately rises to E. The output starts to decay towards zero with a time constant τ. After
4τ,
the output will have discharged 98% of E and is nearly at ground potential.
For
coupling applications, it is clear that one needs a capacitor large enough so
that the output DC level remains relatively unchanged during the duration of a
rectangular pulse.
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