Voltage Drop in a Series Circuit with 100V & 2 50 Ohm Resistors

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Discussion Overview

The discussion revolves around the concept of voltage drop in a series circuit consisting of a 100V supply and two 50 Ohm resistors. Participants explore the definition of voltage drop, the behavior of resistors in the circuit, and the implications of energy density in relation to voltage.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant states that the total resistance in the circuit is 100 Ohms, leading to a current of 1 amp, and questions the nature of voltage drop.
  • Another participant explains voltage as the energy density of charge and describes how energy is lost as charges pass through a resistor, resulting in a voltage drop.
  • There is a discussion about whether a resistor can be thought of as its own circuit with a voltage supply equal to the voltage drop across it, with some participants agreeing that it can be viewed this way.
  • Clarification is sought regarding the term "energy density," with a participant providing an explanation related to the energy required to gather electrons into a volume.
  • One participant asserts that a resistor does not supply energy like a voltage source and emphasizes that a volt is a volt, regardless of the circuit context.
  • There is confusion expressed by some participants regarding the implications of a resistor not "knowing" its surroundings, with requests for clarification on this point.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the nature of voltage drop and the behavior of resistors, with some agreeing on specific points while others seek clarification. The discussion does not reach a consensus on all aspects of the topic.

Contextual Notes

Some participants exhibit uncertainty about the definitions and implications of energy density and voltage drop, indicating a need for further exploration of these concepts.

Drakkith
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Ok, let's say you have a 100v voltage supply and two 50 Ohm resistors in a series circuit. The total resistance is 100 Ohms, leading to a current of 1 amp.

Now my question is, what exactly is voltage drop? I know the voltage drop across each resistor is 50 volts. If we were to look at one of the resistors, would it act AS IF it were it's own little circuit with a 50v voltage supply? (As 50 volts divided by 50 ohms is 1 amp, just like the "parent" circuit)
 
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Drakkith,

Now my question is, what exactly is voltage drop?

You first have to know what voltage is. It the the energy density of the charge (volts=joules/coulomb). To send charges through a conduction path, the charge energy density has to be greater at one end than the other end. As the charges travel through the resistor conduction path, they encounter collisions with the ionic core of the material, and lose energy in the form of heat. Arriving at the other end, they have less energy per charge, and by definition have lost voltage. That is what a voltage drop is about--less energy density per charge because of energy loss due to thermal dissipation in the resistor.

If we were to look at one of the resistors, would it act AS IF it were it's own little circuit with a 50v voltage supply? (As 50 volts divided by 50 ohms is 1 amp, just like the "parent" circuit)

A resistor loses energy. It never supplies energy like a voltage source does.

Ratch
 
Ratch said:
You first have to know what voltage is. It the the energy density of the charge (volts=joules/coulomb).

What's energy density?


A resistor loses energy. It never supplies energy like a voltage source does.

Ratch

Of course.
 
Drakkith,

What's energy density?

You mean the energy density of the charge? Measured in volts (joules/coulomb)? It takes energy to gather some electrons scattered around free space into one unit volume. They all have a negative charge, and repel each other. It takes more energy to gather them into a smaller space than before, and it takes more energy to gether more electrons into the same space as before. So the energy it takes to clump them together divided by the number of electrons clumped together is the energy density of the charge (volts).

Ratch
 
Drakkith said:
I know the voltage drop across each resistor is 50 volts. If we were to look at one of the resistors, would it act AS IF it were it's own little circuit with a 50v voltage supply? (As 50 volts divided by 50 ohms is 1 amp, just like the "parent" circuit)
Yes. It really can't be anything else. How could a resistor know what else is going on around it? It can't. A volt is a volt, regardless of how it came to be.
 
NascentOxygen said:
How could a resistor know what else is going on around it? It can't. A volt is a volt, regardless of how it came to be.

I don't think I understand what you're getting at here.

Edit: By that I mean that I don't understand the part about the resistor not knowing what's going on around it. That seems...obvious? Perhaps I'm misunderstanding what you're saying.
 
Last edited:
Drakkith said:
I don't think I understand what you're getting at here.

Edit: By that I mean that I don't understand the part about the resistor not knowing what's going on around it. That seems...obvious? Perhaps I'm misunderstanding what you're saying.
Perhaps I misunderstood what you were asking.
 
Drakkith said:
Ok, let's say you have a 100v voltage supply and two 50 Ohm resistors in a series circuit. The total resistance is 100 Ohms, leading to a current of 1 amp.

Now my question is, what exactly is voltage drop? I know the voltage drop across each resistor is 50 volts. If we were to look at one of the resistors, would it act AS IF it were it's own little circuit with a 50v voltage supply? (As 50 volts divided by 50 ohms is 1 amp, just like the "parent" circuit)
Yes.
 
Thanks all!
 

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