In AC analysis do I alternate the current and voltage?

In summary: The direction of the current flow will also reverse. In summary, when analyzing an AC circuit with a resistor, it is better to keep one orientation and use negative numbers for the quantities. KCL is independent of the choice of polarity, and the sum comes out the same regardless of the polarity. An AC voltage source can be treated as alternating between clockwise and counter-clockwise current flow, or as a sinewave with a phase shift of 180°. However, it is not necessary to analyze the negative side of the AC signal as it is equivalent to inverting the signal.
  • #1
Boltzman Oscillation
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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.
 
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  • #2
Better to keep one orientation and use negative numbers for the quantities
 
  • #3
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?
 
  • #4
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.
 
  • #5
Boltzman 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.
 
  • #6
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.
 
  • #7
Boltzman 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?
 
  • #8
Boltzman 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.
 
  • #9
Boltzman 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.
 

1. What is AC analysis?

AC analysis is a method used in electrical engineering to analyze the behavior of a circuit or system under alternating current (AC) conditions. It involves studying the relationship between voltage and current in a circuit, taking into account the effects of capacitance, inductance, and resistance.

2. How is AC analysis different from DC analysis?

AC analysis differs from DC analysis in that it takes into account the changing nature of the current and voltage in a circuit, rather than assuming a constant DC value. This allows for a more comprehensive understanding of a circuit's behavior, as many electronic devices and systems operate using AC power.

3. Why do I need to alternate the current and voltage in AC analysis?

In AC analysis, alternating the current and voltage allows for a more accurate representation of how a circuit or system will behave when operating under AC conditions. This is because AC power sources constantly change direction, causing the current and voltage to fluctuate in a cyclical manner. By alternating the current and voltage in our analysis, we can capture the full picture of a circuit's behavior.

4. What are the benefits of using AC analysis?

AC analysis allows for a more comprehensive understanding of a circuit's behavior, as it takes into account the effects of capacitance and inductance in addition to resistance. This is especially important for circuits and systems that operate using AC power, as their behavior may be significantly different from what would be predicted using DC analysis alone.

5. Are there any limitations to using AC analysis?

While AC analysis is an important tool for understanding the behavior of circuits and systems under AC conditions, it does have some limitations. For example, it assumes ideal components and may not accurately reflect the behavior of real-world components that may have non-ideal characteristics. Additionally, AC analysis may not be suitable for circuits with complex nonlinear behavior.

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