- #1
Weaver
- 70
- 6
- Homework Statement
- Derivation of error due to finite load attached to potentiometer
- Relevant Equations
- (Included in main body, so that it formats correctly)
x = fraction of potentiometer connected to load
Vp in parrallel with VL = x/(Rp/RL.x.(1-x) + 1)
If RL = infinite, then Ro = x and Vo = x.Vs
If RL = finite, then Ro = x/(Rp/RL.x.(1-x) + 1) and Vo = x.Vs/(Rp/RL.x.(1-x) + 1)
Therefore error is x.Vs - x.Vs/(Rp/RL.x.(1-x) + 1)
Trying to break the equation down further, I did the following :
However, the final equation, is supposed to be (Rp/RL).Vs.(x2-x3)
Do you just ignore the denominator, or am I missing a step?
I appreciate any help or advice
Vp in parrallel with VL = x/(Rp/RL.x.(1-x) + 1)
If RL = infinite, then Ro = x and Vo = x.Vs
If RL = finite, then Ro = x/(Rp/RL.x.(1-x) + 1) and Vo = x.Vs/(Rp/RL.x.(1-x) + 1)
Therefore error is x.Vs - x.Vs/(Rp/RL.x.(1-x) + 1)
Trying to break the equation down further, I did the following :
However, the final equation, is supposed to be (Rp/RL).Vs.(x2-x3)
Do you just ignore the denominator, or am I missing a step?
I appreciate any help or advice