Understanding Voltage Definition and KVL in Electrical Circuits

AI Thread Summary
If Kirchhoff's Voltage Law (KVL) were not true, the definition of voltage would become inconsistent, as voltage is fundamentally tied to energy conservation in closed circuits. Voltage is defined as the energy required to move one coulomb of charge between two nodes, implying that the total energy in a closed system must balance to zero. Without KVL, the principle that the sum of voltages around a loop equals zero would be violated, leading to excess energy that cannot be accounted for. This inconsistency would undermine the foundational concepts of electrical engineering and circuit analysis. Therefore, KVL is essential for maintaining the validity of the voltage definition in electrical circuits.
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Homework Statement


If KVL was not true, would our definition of Voltage still make sense? Clearly explain and prove your answer


Homework Equations


KVL definition
Voltage definition

The Attempt at a Solution


I said no, because if KVL were not true, then definition of voltage would not make sense. By the law of energy conservation, Energy input = energy output( i may be wrong? but intuitive to me, since a circuit is a closed system). Since voltage by definition is the energy required to move 1C of charge from 1 node to another. The sum of voltages in a closed system must equal 0, since a system cannot have excess energy, as it must be either used,stored or dissipated

Thoughts guys? Proff made this question, and I've never come across a theoretical question like this in a engineering course
 
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You need a statement of the definition of voltage.
 
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The definition my proff gave me is this: Voltage is the energy required to move 1c of charge from 1 node to another
 
Generally - one volt is the energy required to move 1 coulomb from one node to the next... what if there is a battery between the two nodes? What if the end node is the same as the start node?

The next step is a statement of what KVL says ... then you want to relate the two.
The KVL requires a specific property of the electric field - besides energy conservation - do you know what it is?

Anyway - the patter for these things is:
1. definition of voltage
2. statement of KVL
3. what does 2 say about 1.
4. if 2. is wrong, what does that say about 1.

For the record: you have the right idea - but you were instructed to be clear.
 

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