Resistors in a Ladder
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Need to find R1, R2 ,R3, R4 subject to the 4 regions of Vin. In other words when Vin> 5: R2/RT>.7 and R3/Rt>.7 and R4/Rt>.7 When 4.8<Vin<5: R2/RT < 0.7, R3/Rt>.7 and R4/RT > .7 When 4.5<Vin<4.8: R2/RT< .7 R3/RT< .7 R4/RT > .7 etc. SO that R*/RT will be > or < .7 depending on the value of Vin. Please see attachment.
Arbitrary values can be assigned to some resistors as long as the conditions are satisfied. There would not be a unique solution to this problem.
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Solution Summary
This posting contains the solution to the given problems. The expert examines the resistors in a ladder.
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Solution:
Let us first set a value for R1 and R5. Since both are arbitrary, we can set them at any value. We let R1 and R5 equal, and the value is 1k ohms.
Let's look at the relationship of voltage V2, V3 and V4 to Vin:
If Vin >5 If 4.8V<Vin<5V If 4.5<Vin<4.8V If Vin<4.5V
V2 >0.7 <0.7 <0.7 <0.7
V3 >0.7 >0.7 <0.7 <0.7
V4 >0.7 >0.7 >0.7 <0.7
Now, we ...
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