In AC analysis do I alternate the current and voltage?

Click For Summary

Discussion Overview

The discussion revolves around the analysis of an AC voltage source in a circuit with a resistor, specifically addressing how to represent current direction and voltage polarity during different phases of the AC cycle. Participants explore the implications of alternating current on circuit analysis techniques, including Kirchhoff's Current Law (KCL) and the representation of voltage drops and rises.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest maintaining a consistent current direction and using negative values for quantities when analyzing AC circuits.
  • Others argue that KCL can be applied regardless of polarity choice, emphasizing that the sum of currents will equal zero in both orientations.
  • A participant questions how to determine voltage drop or rise in AC circuits, noting the absence of fixed polarity.
  • Another participant clarifies that AC voltage does have polarity, but it alternates, and KCL remains valid regardless of the chosen polarity.
  • Some participants propose treating each polarity of the AC signal as a separate analysis, assigning polarities and directions based on personal conventions.
  • It is noted that AC voltages can be represented mathematically as sine waves, which inherently include alternating signs.
  • One participant draws an analogy between AC analysis and DC circuits, where reversing the polarity of a DC source is similar to analyzing the negative phase of an AC signal.

Areas of Agreement / Disagreement

Participants express differing views on how to handle current direction and voltage polarity in AC analysis. There is no consensus on whether to alternate current direction or maintain a single orientation with negative values. The discussion remains unresolved regarding the best approach to represent these elements in circuit analysis.

Contextual Notes

Limitations include the potential for confusion regarding the representation of AC signals and the implications of alternating polarity on circuit analysis techniques. The discussion does not resolve how to definitively classify voltage rises and drops in the context of AC signals.

Boltzman Oscillation
Messages
233
Reaction score
26
Lets say I am analyzing a simple AC voltage source with a resistor. In the positive voltage peak then I will use V and I say current is flowing clockwise. When I am analyzing the -Vpk iteration then do I make the current counter clockwise too or do i keep it clockwise? Thanks.
 
Engineering news on Phys.org
Better to keep one orientation and use negative numbers for the quantities
 
BvU said:
Better to keep one orientation and use negative numbers for the quantities
Hmm usually when I do KCL I equate the sum of all of the components with +/- polarity to the sum to all of the components with -/+polarity. Where would an AC source fit in here? How will I know if it is a voltage drop or voltage rise since it has no polarity?
 
I don't understand. It has polarity, just alternating. KCL is indepenent of the choice of polarity: the sum comes out zero one way and the other way too.
 
Boltzmann Oscillation said:
Lets say I am analyzing a simple AC voltage source with a resistor. In the positive voltage peak then I will use V and I say current is flowing clockwise. When I am analyzing the -Vpk iteration then do I make the current counter clockwise too or do i keep it clockwise? Thanks.
We usually do it with plus and minus signs as @BvU said, but yes you can consider it as alternating between clockwise and counter-clockwise if you wish.
 
In a cricuit diagram we typically indicate the current polarity with an Arrow at a given point in the circuit. So when the value at this point is Negative, the current is flowing in the opposite direction.
 
Boltzmann Oscillation said:
Lets say I am analyzing a simple AC voltage source with a resistor. In the positive voltage peak then I will use V and I say current is flowing clockwise. When I am analyzing the -Vpk iteration then do I make the current counter clockwise too or do i keep it clockwise? Thanks.

I'm confused.

Have you drawn two separate circuit diagrams ? One for each polarity of applied voltage?
Then treat them as two separate analyses and assign polarities and arrows however you are accustomed.
After all at any instant AC has only one direction..

In classical AC circuit analysis we assign arrows and signs just as in DC analysis
but our voltages and currents are expressed not as simple numbers but Amplitude X sin(2πfrequency X time)

so their directions reverse themselves as you evaluate sin(2πfrequency X time ) .
because sin function swings between -1 and +1

You'll see (2πfrequency X time ) usually written as ωt,
ω being 2πfrequency
and t being time.

make sense?
 
Boltzmann Oscillation said:
How will I know if it is a voltage drop or voltage rise since it has no polarity?
You will know that it alternates. KCL is not interested in time.
An AC voltage is usually represented by a sinewave. When you multiply a sinewave by a negative number the sinewave turns upside down. For a sinewave that is equivalent to a phase shift of 180°.
You do not need to analyse the negative side of an AC signal. You analyse for the positive signal, then where it has a negative sign, you know the signal is inverted.
 
Boltzmann Oscillation said:
Lets say I am analyzing a simple AC voltage source with a resistor. In the positive voltage peak then I will use V and I say current is flowing clockwise. When I am analyzing the -Vpk iteration then do I make the current counter clockwise too or do i keep it clockwise? Thanks.

It is also analogous to a DC circuit where you reverse the polarity of the DC battery source.
 

Similar threads

Replies
30
Views
3K
Replies
18
Views
3K
Replies
15
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
7K