Unit step response of RC high pass filter

In summary, The unit step response of a high pass RC filter can be calculated using the transfer function approach. The solution involves using the inverse Laplace transform to obtain the output function y(t) = exp(-t/RC), which only includes the complementary function and does not contain a dc term. However, the correct inverse Laplace transform is Dirac(t)-exp(-t/RC)/RC, which does include a dc term.
  • #1
erece
72
0
what is the unit step response of a high pass RC filter ?
I want to calculate using transfer function approach.
My solution :
Y(s)/X(s) = RCs/(1+sRC)

X(s)=1/s
Y(s)=RC/(1+sRC)
taking inverse laplace transform we should get
y(t)=exp(-t/RC)


But if we consider Y(s)=RC/(1+sRC)
RCsY(s) + Y(s) = RC
then this is a non homogeneous equation
so the solution should contain a dc term also which is a complementary function.
but the previous solution i have written above does not contain the dc term.
Please clarify this...
 
Engineering news on Phys.org
  • #2
y(t)=exp(-t/RC)
 
  • #3
erece,

Please clarify this...

The inverse Laplace of RCs/(1+sRC) is Dirac(t)-exp(-t/RC)/RC, not what you posted.

Ratch
 

What is a unit step response of an RC high pass filter?

The unit step response of an RC high pass filter is a measure of how the output of the filter changes in response to a sudden change (step) in the input signal. It is a representation of the filter's ability to pass high frequency signals and attenuate low frequency signals.

How is the unit step response of an RC high pass filter calculated?

The unit step response of an RC high pass filter can be calculated using the transfer function of the filter, which is derived from the circuit's components (resistance and capacitance values). It can also be measured experimentally by applying a step input to the filter and recording the output.

What factors affect the unit step response of an RC high pass filter?

The unit step response of an RC high pass filter is affected by the component values (resistance and capacitance) of the filter, as well as the frequency of the input signal. Higher resistance and capacitance values result in a slower response, while higher frequency signals are attenuated more by the filter.

What does the unit step response of an RC high pass filter tell us about the filter's performance?

The unit step response of an RC high pass filter provides information about the filter's frequency response and its ability to pass high frequency signals while attenuating low frequency signals. It can also indicate the cutoff frequency of the filter, which is the frequency at which the output begins to change in response to a step input.

How can the unit step response of an RC high pass filter be used in practical applications?

The unit step response of an RC high pass filter can be used to design and analyze filter circuits for various applications, such as audio and signal processing. It can also be used to troubleshoot and optimize the performance of existing filters in electronic devices.

Similar threads

Ladder-like bandpass filter theoretical analysis problem
    • Electrical Engineering
Replies
20
Views
2K
B RC Low Pass Circuit Sine Wave Response
    • Classical Physics
Replies
7
Views
1K
Capacitors in Hybrid-pi Model and Frequency Response
    • Electrical Engineering
Replies
1
Views
3K
Constant Current Source in Driving an RC Circuit
    • Electrical Engineering
Replies
6
Views
6K
Effect of zeros on impulse response
    • Electrical Engineering
Replies
6
Views
2K
Digital Filters: why is sampling frequency equal to 2*pi unit circle
    • Electrical Engineering
Replies
5
Views
1K
Comp Sci High Pass Filtering: Get It & Sharpen Image
    • Engineering and Comp Sci Homework Help
Replies
8
Views
860
Engineering Frequency Response of High-Pass Filter at 1kHz
    • Engineering and Comp Sci Homework Help
Replies
27
Views
2K
What is the design and performance comparison of third order high pass filters?
    • Engineering and Comp Sci Homework Help
Replies
13
Views
4K
Engineering W0 = 1/RC? Transfer Functions and Bode Plots
    • Engineering and Comp Sci Homework Help
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top