Voltage-resistance graph for this circuit with a variable resistance

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Homework Help Overview

The discussion revolves around the analysis of a voltage-resistance (V-R) graph for a circuit involving a variable resistor and a fixed resistor. The original poster expresses confusion regarding the voltage readings observed in their graph compared to expected values based on theoretical calculations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to understand discrepancies in voltage readings at specific resistance values and questions the linearity of the graph. Participants inquire about the underlying equations and calculations, suggesting that the original poster may have made errors in their approach.

Discussion Status

Participants are actively engaging in questioning the assumptions and calculations presented. Some have pointed out the need for clearer explanations of the equations used, while others have noted the importance of showing work to facilitate better assistance. There is an ongoing exploration of the relationship between voltage and resistance in the context of the circuit.

Contextual Notes

Participants reference a guideline emphasizing the importance of demonstrating thought processes and calculations in homework help discussions. The original poster's calculations and the teacher's provided equation are under scrutiny, with questions about their correctness and implications for the graph's shape.

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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