How Does a Capacitor Introduce Phase Delay in a Circuit?

In summary: When you are using the term "delay" - which signals do you have in mind? Such a delay is the delay between two signals (voltage and/or current) resp. the corresponding phases of these signals, in time. When you remember your own definitions, you will know what you have to measure/simulate.When you are using the term "delay" - which signals do you have in mind?You are asking about the delay between voltage and current signals, right? If so, then the delay is the time it takes for the voltage to go from one phase to the next. This delay is always the same for signals that are in phase. In summary, you
  • #1
PhysicsTest
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TL;DR Summary
Understanding the phase delay
I simulated the below circuit to capture the phase delay between input voltage and output current in LTSpice
1689755433868.png

How do i measure the phase delay introduced due to capacitor?
1689755562602.png
 

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  • #2
The rule is that currents in a series circuit are ALWAYS in phase. So I'll ask you what can you conclude from that rule and the circuit you have drawn.
 
  • #3
When you are using the term "delay" - which signals do you have in mind? Such a delay is the delay between two signals (voltage and/or current) resp. the corresponding phases of these signals,
When you remember your own definitions, you will know what you have to measure/simulate.
 
  • #4
This would normally be done with sine waves, not square waves. This is because the phase delay depends on the signal frequency. A pulse waveform contains many frequencies. It still can have a phase shift, but it's complicated. So sine waves, which are a single frequency, often swept through a range to make a frequency response (Bode) plot, is what most EEs use.

In any case, you need to specify the conditions, like the input waveform, for phase delay to make sense.
 
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  • #5
PhysicsTest said:
TL;DR Summary: Understanding the phase delay

I simulated the below circuit to capture the phase delay between input voltage and output current in LTSpice
It looks like you are using a Transient Analysis -- that is not the type of analysis that you should use to see the Frequency Domain characteristics of a circuit. Have a look at this article, and let us know what a better SPICE analysis mode would be... :smile:

https://techweb.rohm.com/know-how/simulation/7916/
 
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  • #6
I am analyzing the circuit and will come up with the exact problem i am facing.
 
  • #7
PhysicsTest said:
I am analyzing the circuit and will come up with the exact problem i am facing.

A square wave will charge a capacitor up as soon as it is applied because it is similar to direct current.

Are you wanting to test the time constant, tau, as it is charging?
 
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  • #8
osilmag said:
A square wave will charge a capacitor up as soon as it is applied
More accurately, a square wave will start to charge up a capacitor with the initial application of the first pulse. Subsequent pulses alternately start to discharge it and recharge it... (see the OP's transient SPICE simulation):

1690549470447.png
 
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  • #9
Ok
 
  • #10
As has been noted the term phase delay (better called phase lag) is defined as the response to a particular frequency sine wave. So your question is not well formulated. Please try again.
 
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FAQ: How Does a Capacitor Introduce Phase Delay in a Circuit?

What is phase delay in a circuit?

Phase delay in a circuit refers to the time difference between the input and output signals. In terms of AC signals, it is the angular difference between the voltage and current waveforms. This delay is typically measured in degrees or radians.

How does a capacitor cause phase delay?

A capacitor causes phase delay due to its property of storing and releasing energy. In an AC circuit, the voltage across a capacitor lags the current through it by 90 degrees. This means that the current reaches its maximum value before the voltage does, introducing a phase shift between the two.

Why is the phase delay introduced by a capacitor always 90 degrees?

The phase delay introduced by a capacitor is always 90 degrees because of its fundamental behavior in an AC circuit. A capacitor's impedance is inversely proportional to the frequency of the AC signal, causing the current to lead the voltage by a quarter cycle, which is equivalent to 90 degrees.

How is the phase delay of a capacitor calculated in a circuit?

The phase delay of a capacitor in a circuit can be calculated using the formula for the impedance of a capacitor: \( Z = \frac{1}{j\omega C} \), where \( \omega \) is the angular frequency and \( C \) is the capacitance. The phase angle \( \theta \) is given by \( \theta = -\arctan(\frac{1}{\omega RC}) \) in an RC circuit, which simplifies to -90 degrees in a purely capacitive circuit.

What are practical applications of phase delay introduced by capacitors?

Phase delay introduced by capacitors is utilized in various practical applications such as in filters (low-pass, high-pass, band-pass), oscillators, and phase-shift networks. These components are crucial in signal processing, communication systems, and electronic circuits to control the timing and frequency characteristics of signals.

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