The slew rate of an operational amplifier indicate

Slew rate:

• The slew rate of an operational amplifier indicates how fast its output voltage can change.
• The output of an Op-Amp can only change by a certain amount in a given time. This limit is called the slew rate of the Op-Amp.
• Op-Amp slew rate can limit the performance of a circuit if the slew rate requirement is exceeded.
• This is best explained with the help of the given waveform:

Mathematical Analysis:

The maximum rate of change of the output voltage in response to a step input voltage is defined as the slew rate of the op-Amp.

Mathematically, the slew rate is defined as:

\(S.R = {\left( {\frac{{d{V_0}}}{{dt}}} \right)_{max}}\)

When the input is a sinusoid given as:

Vi (t) = Vm sin2πf t

The rate of change of input:

\(\frac{{d{V_i}}}{{dt}} = {{\rm{V}}_m}2{\rm{\pi }}{{\rm{f}}}{\rm{cos}}2{\rm{\pi }}{{\rm{f}}}{\rm{t}}\)

The maximum rate of change will be:

|Vm 2πf cos2πf t|max

\({\left. {\frac{{{d_{Vi}}}}{{dt}}} \right|_{max}} = {V_m}2\pi {f} =Slew~Rate\)