The problem that is that of a loaded potentiometer and the position on the slider. The question is that a 10k Ohm potentiometer is connected across a 9 volt dc supply. Across the bottom part of the POT a 5k Ohm resistive load is connected which has 3 volts developed across it. Decide the position of the slider on the potentiometer to get 3 Volts across the load.
VL = Vs*(R1/R1+R2) Where R1 it the top of the POT and R2 is the Bottom of the POT with the load across it
The Attempt at a Solution
I have got this far and tried many attempts at solving for x. I understand that it will be a proportion or ratio of the POT resistance.
VL=Vs* _________________________ Where VL = Voltage Load
[(x*Rp)*RL/(x*Rp)+RL]+(1-x)RL Vs = Voltage Supply
Rp = Res Potentiometer
RL = Res Load
I would much appreciate it if somebody knows if I'm taking the right approach and if so how on Earth do I solve for x. Just basic steps would be helpful. Every time I try to do it I just end up in a complete mess. It's driving me crazy.
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