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A circuit is said to be unstable if its output increases with time instead of achieving fixed value. In fact the output keeps on increasing until the system breaks down. Therefore, unstable systems are impractical and need to be made stable.
In closed loop system (control system) the standard form of representing a system is composed of two blocks.
Slew rate is the maximum rate of change of output voltage caused by a step input voltage with respect to time.
An op-amp slew rate is related to its frequency response. Usually op-amps with wider bandwidth have higher (better) slew rate.
A frequency response plot is obtained by plotting the gain of the op-amp responding to different frequencies.
Although frequency response and bode plots indicate the effect of frequency variation on gain, the Bode plot is generally used for stability determination and network design.
Two types of plots can be obtained using Bode plot. They are magnitude versus frequency and phase angle versus frequency plots.
When the operating frequency is increased the gain of the amplifier decrease. As it is linearly related to frequency, the phase shift is logarithmic related to frequency.