Voltage-resistance graph for this circuit with a variable resistance

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SUMMARY

The discussion centers on the voltage-resistance (V-R) graph for a circuit with a variable resistance (Rv) and a fixed resistance (Rf), both set at 600 ohms. The expected voltage across each resistor was calculated to be 3V, given a 6V battery. However, the actual measurements indicated Vf at 3.4V and Vv at 2.6V, leading to confusion regarding the graph's linearity and the intersection point at 700 ohms. The potential divider equation provided, Vfixed = Vbatt x [600 / (600 + Rvariable)], is confirmed to represent a hyperbolic relationship, not a straight line.

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shirozack
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Homework Statement
a 600 ohm fixed resistor Rf is connected in series with a variable resistor Rv that goes from 0-800ohms. the battery is 6V.

when Rv is 0ohm, the voltage Vf across the Rf is 6V. Vv is 0V.

when Rv is 800 ohm, Vf is 2.6V and Vv is 3.4V

Plot the v-r graph of both Vf and Vv (from 0 to 6V) against Rv (from 0-800 ohms)
Relevant Equations
na
I have plotted the V-R graph.

when Rv is 600 ohms, Rf is also 600ohms, which means the voltage across both resistors should be split evenly at 3V each since batt is 6V.

however, from the graph, i noticed that Vf is 3.4V and Vv is 2.6V instead at 600 ohms.

i would like to know where did it go wrong? are the graphs not supposed to be a straight line?

why is the intersection at 700 ohms instead which is 3V.

thanks
 

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shirozack said:
are the graphs not supposed to be a straight line?
Why should they be? Can you write the equation?
 
haruspex said:
Why should they be? Can you write the equation?
this was the answer given by the teacher. is it wrong?

the potential dividing equation?

Vfixed = Vbatt x [ 600 / (600+Rvariable) ] ?

so it's like a 1/x curve?
 
shirozack said:
this was the answer given by the teacher. is it wrong?

the potential dividing equation?

Vfixed = Vbatt x [ 600 / (600+Rvariable) ] ?

so it's like a 1/x curve?
Yes, similar to that.
 

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