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Why Does Increasing G in a Control Loop Cause Vo/Vi to Approach Unity?
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[QUOTE="Jason-Li, post: 6420513, member: 655162"] [B]Homework Statement:[/B] Derive the closed loop transfer function for the system shown in FIGURE 4 and show that for large values of G the value of Vo/Vi approaches unity. [B]Relevant Equations:[/B] Transfer Functions used [ATTACH type="full" width="615px"]272978[/ATTACH] Hi all Physics Forum User, I am again coming to you to ask for help. For the above question I can't make sense of how a larger G will cause Vo/Vi to approach 1. For this I'll call Vo=V and Vi=I As can be seen from the control loop B = A*H and V = B*K hence V = A*H*K Also A = I - C and C=Vo*G therefore A = I - V*G Then substituting in V =(I-V*G)*HK Hence Vo/Vi = (H*K) / (1+H*K*G) Increasing G in this would have an opposite effect on making Vo/Vi approach unity. Can anyone shed any light on this? [/QUOTE]
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Why Does Increasing G in a Control Loop Cause Vo/Vi to Approach Unity?
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