Why Do Voltages in Series Add: Explained Physically

  • Thread starter elm-chris
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In summary, voltages in series add because work is done to move a unit of charge through the circuit.
  • #1
elm-chris
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Why do voltages in series add? I would like to have this explained physically. Most answers I get are something like: "Because in a parallel circuit the voltage is constant." I have memorized the concept but want to try and learn why this is so. What physically goes on with the circuit to make the voltages add.


Thanks
 
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  • #2
Okay take the case of two batteries in series each with a voltage V. What this voltage means is that the potential different between the two nodes of the battery is V. So imagine a circuit connecting these two batteries in series and follow the current. Let's s say we're going up in potential as we cross batteries. So first we're at zero volts. Then we hit the - terminal and to get to the + terminal is V volts. so we're at +V volts overall. Now we hit the - terminal of the next battery and again to go to the + terminal on this battery is +V volts. So we see that the total voltage of the circuit is 2V.

Not sure if this is the kind of explanation you were looking for, but there it is.
 
  • #3
It's called a "potential difference" for a reason. No different than, for example, a ball being at a height h above the floor vs the same ball being at a height 2h. In the latter case, there is double the potential energy with respect to the floor.
 
  • #4
To add what the above posters have said, think of it in terms of work required to move a unit of charge, say one Coulomb. If you have two voltages in series and you are a charge moving through a circuit, work is done on you to move you across the first PD, then across the second PD, and since work is a scalar you just add it up - the total work done would have been the same as if it were just one PD.

I hope that's clear..
 

What does it mean for voltages to be in series?

When voltages are in series, it means that they are connected one after the other in a single path. This means that the positive end of one voltage source is connected to the negative end of the next voltage source, creating a continuous flow of electric current.

Why do voltages in series add together?

Voltages in series add together because they are connected in a single path, and the total voltage is equal to the sum of each individual voltage. This is known as Kirchhoff's Voltage Law, which states that the sum of the voltage drops in a closed loop must equal the sum of the voltage sources in that loop.

What is the physical explanation for why voltages in series add?

The physical explanation for why voltages in series add is based on the concept of energy conservation. As electric current flows through a circuit, it encounters resistance, which causes a voltage drop. In a series circuit, the voltage sources add their own energy to the circuit, but the voltage drops due to resistance subtract from this energy. The resulting total voltage is the sum of the voltage sources minus the voltage drops, which is why voltages in series add.

Does the order of voltage sources matter in a series circuit?

Yes, the order of voltage sources does matter in a series circuit. The total voltage will only be the sum of the individual voltages if the sources are connected in the correct order, with the positive end of one connected to the negative end of the next. If the order is reversed, the total voltage will be negative, indicating that the current is flowing in the opposite direction.

Are there any exceptions to voltages adding in series?

There are some exceptions to voltages adding in series, such as in cases where there is a non-ideal voltage source that has internal resistance. In this situation, the voltage drop across the internal resistance will affect the total voltage and may not add up as expected. Additionally, if the circuit has capacitors or inductors, the voltages may not add in series due to their unique properties and effects on the current flow.

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