KVL for a RLC circuit given current direction and polarity o

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Discussion Overview

The discussion revolves around applying Kirchhoff's Voltage Law (KVL) to an RLC circuit, focusing on the determination of the voltage across the inductor given the current direction and the polarity of a resistor. Participants explore the implications of these factors on the circuit analysis, particularly in the context of initial conditions and the behavior of the circuit when a switch is opened or closed.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest using KVL to find the voltage across the inductor (VL) and question whether to follow the passive sign convention based on the given polarity of the resistor.
  • There is a discussion about the placement of the voltage source and the independence of the RL and RC branches when analyzed in parallel to the voltage source.
  • Participants express uncertainty about the direction of current (Ix) and whether it should be reversed based on the resistor's polarity.
  • Some argue that the initial current direction in the inductor may differ from the given direction of Ix, suggesting that it could be beneficial to reverse Ix for KVL analysis.
  • There are conflicting views on the voltage across the capacitor, with some stating it should be 36V while others assert it is 16V at t=0-.
  • Participants discuss the implications of the capacitor discharging and how it affects the current direction and polarity in the circuit.
  • Some express caution about altering predefined interpretation labels, emphasizing the importance of consistency in analysis.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct direction of Ix or the voltage across the capacitor. Multiple competing views remain regarding the application of KVL and the interpretation of circuit polarities.

Contextual Notes

There are unresolved assumptions regarding the initial conditions of the circuit, the definitions of current direction, and the implications of the resistor's polarity on the analysis. The discussion reflects varying interpretations of circuit behavior under different conditions.

  • #31
Aristotle said:
But then the current will go in the negative terminal of the inductor if the polarity is switched though?
Inductor is acting as a voltage source. What is the direction of current inside a voltage source?
 
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  • #32
cnh1995 said:
Inductor is acting as a voltage source. What is the direction of current inside a voltage source?
Umm..the electric current through a voltage source is out of the positive terminal if it's supplying power.
 
  • #33
Aristotle said:
In that case, current flows out of the positive terminal when a capacitor is discharging then?
Right!
Also knowing that the voltage across the inductor does not change instantaneously as well, the polarity remains the same as when the voltage source was applied to the circuit before t=0 correct? (+) on top and (-) on bottom?
:wink:
It's the current that doesn't change instantaneously for an inductor. The inductor will produce any potential across itself required in order to maintain that magnitude and direction of current flow. That means the potential across an inductor can change instantaneously.

In this instance, just before the switch is opened the current was flowing downward through the inductor, and the potential across it was zero (steady state, constant current for an inductor). When the switch opens, the inductor "wants" to maintain the flow and direction of its current. So it reacts by producing a potential across itself that tends to maintain the status quo, driving the current in its current direction. The potential created can have either polarity depending upon the requirement to maintain that flow. In this case the potential would be higher at the bottom of the inductor than its top.

Note that components other than sources do not have inherent polarities. You can turn passive linear components end-for-end in a circuit and they will behave the same.
 
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  • #34
Aristotle said:
Umm..the electric current through a voltage source is out of the positive terminal if it's supplying power.
Yes. So shouldn't + be at the bottom?
 
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  • #35
gneill said:
Right!

It's the current that doesn't change instantaneously for an inductor. The inductor will produce any potential across itself required in order to maintain that magnitude and direction of current flow. That means the potential across an inductor can change instantaneously.

In this instance, just before the switch is opened the current was flowing downward through the inductor, and the potential across it was zero (steady state, constant current for an inductor). When the switch opens, the inductor "wants" to maintain the flow and direction of its current. So it reacts by producing a potential across itself that tends to maintain the status quo, driving the current in its current direction. The potential created can have either polarity depending upon the requirement to maintain that flow. In this case the potential would be higher at the bottom of the inductor than its top.

Note that components other than sources do not have inherent polarities. You can turn passive linear components end-for-end in a circuit and they will behave the same.

Wow that makes sense now ! I just realized I got the terms mixed up between inductor and capacitor. Inductor's CURRENT doesn't change instantaneously, but its voltage can.

Thank you so much for being helpful gneill and cnh1995! :woot:
 
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