How to calculate resistance and voltage using a multimeter

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Homework Help Overview

The discussion revolves around measuring resistance, voltage, and current in a circuit involving a voltage divider with two resistors, R1 and R2, connected in series with a power supply. The original poster seeks guidance on how to properly use a multimeter for these measurements in preparation for a lab.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss methods for measuring R1 and R2, suggesting the use of a multimeter with the power supply disconnected. Questions arise about measuring Vin and the current through R2, including whether a multimeter can measure current and how to connect it properly.

Discussion Status

Some participants have provided guidance on measuring voltage while the circuit is closed for accuracy, and there is a suggestion that calculating R1 and R2 might be preferred over direct resistance measurement. The discussion includes clarifications on terminology and concepts related to voltage division.

Contextual Notes

Participants express varying levels of familiarity with using a multimeter, indicating a potential gap in understanding basic measurement techniques. There is also a mention of the teacher's expectations regarding the calculation of resistances based on voltage and current measurements.

jumbogala
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Homework Statement


This is just something I want to know, so it doesn't really have a problem statement.

But I'm doing a lab tomorrow that uses voltage dividers. So it's two resistors R1 and R2 in series with a power supply. The power supplies Vin (the input voltage). A voltmeter is connected across R2 to measure Vout.

The lab also asks me to measure the values of R1 and R2, as well as the current going through R2. I want to make sure I know how to measure each of these properly.

Homework Equations





The Attempt at a Solution


R1 and R2: connect the multimeter with the power supply disconnected, across the resistors and measure?

Vin would just be the amount of voltage supplied by the power supply, correct? I guess I just hook up the multimeter across the terminals of the power supply...

Current across R2: Can't I just connect an ammeter in series with the circuit anywhere and take the reading? Can you measure current with a multimeter (I've never used one). Thanks!
 
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jumbogala said:
R1 and R2: connect the multimeter with the power supply disconnected, across the resistors and measure?

Vin would just be the amount of voltage supplied by the power supply, correct? I guess I just hook up the multimeter across the terminals of the power supply...

Current across R2: Can't I just connect an ammeter in series with the circuit anywhere and take the reading? Can you measure current with a multimeter (I've never used one). Thanks!

All of the above is correct, but to get a more accurate reading on Vin you should measure the voltage while the circuit is closed. The power supply's internal resistance is going to lower the voltage by a non-negligible amount.

I have a suspicion that the teacher wanted you to calculate R1 and R2 by measuring voltages and currents instead of measuring resistance directly. In that case, would you know how to get R1 and R2?
 
In case this helps, the voltage division and current division rules are:

When a voltage V is divided across two series resistors, the voltage divides in the same proportions as each resistor.
voltage across R1 = V [R1/(R1+R2)]
voltage across R2 = V [R2/(R1+R2)]

However, when a current I divides between two parallel resistors, the current in each resistor divides in proportion with the OTHER resistor:
current through R1 = I [R2/(R1+R2)]
current through R2 = I [R1/(R1+R2)]
 
What does "measure the voltage while the circuit is closed" mean? (Can you tell I'm new at this? haha) And yep, I could find R1 and R2 theoretically if I needed to.

And thank you mike, that does help =)
 
jumbogala said:
What does "measure the voltage while the circuit is closed" mean?
Measure the voltage when you have R1 and R2 connected to the power supply.
 

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