Phase Difference of Transfer Function H(jw)

  • Thread starter Thread starter nicktacik
  • Start date Start date
  • Tags Tags
    Phase
AI Thread Summary
To determine the phase difference between the output (Vo) and input (Vi) of a transfer function H(jw), the phase angle can be calculated using the formula tan^{-1}(Im(H)/Re(H)). A positive phase angle indicates that the output leads the input, while a negative phase angle indicates that the output lags the input. This distinction is crucial for understanding the relationship between Vo and Vi in system dynamics. The discussion emphasizes the importance of clarity in interpreting phase angles in transfer functions. Understanding these concepts is essential for analyzing control systems effectively.
nicktacik
Messages
100
Reaction score
0

Homework Statement


If I have a transfer function H(jw)= |\frac{V_o}{V_i}|. I need to find the phase difference between Vo and Vi.


Homework Equations





The Attempt at a Solution


The phase angle is tan^{-1}(\frac{Im(H)}{Re(H)}). My problem is that if I get a positive angle, does this mean that the Output leads or lags the input? I can't find this explained clearly in any text.
 
Physics news on Phys.org
A positive phase difference is a lead. A negative phase difference is a lag.
 
nicktacik said:

The Attempt at a Solution


The phase angle is tan^{-1}(\frac{Im(H)}{Re(H)}). My problem is that if I get a positive angle, does this mean that the Output leads or lags the input? I can't find this explained clearly in any text.

Leads.
 
Thanks.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

What does a Zener diode do in a circuit with non-ideal voltage source?
Replies
3
Views
943
Engineering How to Calculate the Magnitude and Phase of the Transfer Function H(e^{jw})?
Replies
2
Views
3K
Shooting a bullet at an angle from a given height
Replies
1
Views
2K
Focussing a collimated beam using a diffraction grating
Replies
1
Views
703
Please can I get some help finding the function of motion
Replies
31
Views
2K
Phase difference between points on wall
Replies
4
Views
3K
Difficult Understanding Magnitude and Phase Shift of Transfer Function
Replies
4
Views
2K
Phase difference RLC circuit
Replies
5
Views
3K
Single transfer lag in an open-loop system
Replies
31
Views
7K
Question about complex power in three phase circuits
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top