I need a full and detailed answer for this question 9 only T

Consider an op-amp having an open-loop response with Ao = 10s and two poles at the op-amp be ideal otherwise (infinite input impedance, zero output impedance, etc.). If this amplifier is connected in the non-inverting configuration with a nominal low-frequency, closed loop gain of 100, find the frequency at which IABI = 1 . Also, find the phase margin. For what value of is the phase margin 45° or more? 9. = 10Hz and fp2 = 104 Hz. Let 10. The open-loop gain of a feedback amplifier is given by 105 A(s) =

Solution

The open-loop response describes the response from the op-amp inputs to its outputs. This is a useful measure, because this is completely independent of the other components in your circuit - you\'re only measuring the op-amp itself.

Compute the gain and phase margins.

[Gm,Pm,Wgm,Wpm] = margin(hd)

Phase Margin

Another quantity related to determining stability margin is the phase margin (PM). This is a different way to measure how well stability conditions are met in a given system. Phase margin is determined by how much the phase of G(jw) exceeds 40 degrees when IK(G(jw))I=1.

The above figure shows that, for a system to be stable, a positive PM is required. From the figures, we can also see that the GM indicates the amount that the gain can increase before a system becomes unstable. The PM is calculated by measuring the difference between the G(jw) and 180 when KG(jw) crosses the circle IKG(s)=1I. The stable case receives the phase margin’s positive value.