Characterizing Voltage Sources: Finding V0 and r using a Variable Resistor

In summary, the conversation discusses a circuit with a variable resistor connected to a battery, and the graph shows data collected as the resistor is varied. The questions asked are what the voltage, V0, is and what the internal resistance, r, is. The conversation also includes a question about where V0 should be measured and an explanation of why it should be measured at the lowest current. The conversation concludes with a discussion about the special properties of the point where the graph cuts the y axis.
  • #1
mitsuruangel
6
0

Homework Statement


A variable resistor, R, is connected to the terminals of a battery (dashed box in the diagram). The graph below shows data collected in the circuit as R is varied. What is V0, in volts?

What is the internal resistance, r, in ohms?

should the V0 be measured at the top of the line where it is at the smallest current? because that is what the TA explained to do, I tried and I can't seem to get it right
 

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  • #2
Did you extend the line backwards to where I=0(where it cuts the y axis)
 
  • #3
mitsuruangel said:

Homework Statement


A variable resistor, R, is connected to the terminals of a battery (dashed box in the diagram). The graph below shows data collected in the circuit as R is varied. What is V0, in volts?

What is the internal resistance, r, in ohms?

should the V0 be measured at the top of the line where it is at the smallest current? because that is what the TA explained to do, I tried and I can't seem to get it right

And adding one more question to Dadface's post, what is special about where it cuts the y axis?
 
  • #4
that worked! thanks
 
  • #5
mitsuruangel said:
that worked! thanks

But why did it work. Do you understand that part?
 
  • #6
Because V0 should be at lowest current (ie when it is 0) but the internal resistance keeps it from actually getting there?
 
  • #7
mitsuruangel said:
Because V0 should be at lowest current (ie when it is 0)

That part is correct. V0 is the "open circuit voltage", so when no current is flowing. The other thing you can use to figure out the internal resistance is the "short circuit current". Once you have V0 and Rs, you have characterized your voltage source.
 

1. What is a variable resistor graph?

A variable resistor graph is a visual representation of the relationship between resistance and voltage in a variable resistor. It shows how the resistance changes as the voltage across the resistor is varied.

2. How is a variable resistor graph created?

A variable resistor graph is created by plotting the voltage on the x-axis and the resistance on the y-axis. The resistance values are measured at different voltage levels and then plotted to create a curve.

3. What is the purpose of a variable resistor graph?

The purpose of a variable resistor graph is to show the variable resistor's behavior and how it affects the current flow in a circuit. It can also help in determining the appropriate resistance value needed to control the current in a circuit.

4. How does a variable resistor affect the current in a circuit?

The resistance of a variable resistor can be adjusted to control the current flow in a circuit. As the resistance increases, the current decreases and vice versa. This is why a variable resistor is often used to regulate the current in a circuit.

5. What factors can affect the shape of a variable resistor graph?

The shape of a variable resistor graph can be affected by factors such as the material and length of the resistor, as well as the temperature. Different types of variable resistors, such as potentiometers and rheostats, may also have slightly different shapes on the graph.

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