T and Pi LPF and HPF Calculator

Select Filter Type
T Low Pass Filter
Calculate Cutoff Frequency



T LPF Circuit Diagram
Calculate Impedance



Calculate L and C




Pi Low-Pass Filter
Calculate Cutoff Frequency




T LPF Circuit Diagram
Calculate Impedance



Calculate L and C




T High Pass Filter
Calculate Cutoff Frequency



T LC HPF Circuit Diagram
Calculate Impedance



Calculate L and C




Pi Low Pass Filter
Calculate Cutoff Frequency




Pi LC HPF Circuit Diagram
Calculate Impedance



Calculate L and C




 

The above T and Pi LPF and HPF Calculator is an online tool designed to simplify the design and analysis of Low-Pass Filters (LPF) and High-Pass Filters (HPF) using T and Pi configurations. Whether you're an electronics enthusiast, student, or professional engineer, this calculator helps you quickly determine the critical parameters of these filters, such as cutoff frequency, impedance, and component values. By inputting basic circuit specifications, users can effortlessly optimize their filter designs for applications like audio processing, signal conditioning, and RF communication. The tool is mobile-friendly, easy to use, and provides accurate results, making it an essential resource for anyone working with analog filters. Explore the T and Pi LPF and HPF Calculator today to streamline your filter design process and achieve optimal performance in your projects.

Formulas

1. Low Pass Filter(LPF)

  • Cutoff Frequency(\(f_c\)) 
          \(f_c = \frac{1}{2 \pi \sqrt{LC}}\)
  • Impedance(\(Z_o\))
         \(Z_o = \sqrt{L}{C}\)
  • Inductance(\(L\))
         \(L = \frac{Z_o}{2 \pi f_c}\) 
  • Capacitance(\(C\))
         \(C = \frac{1}{2 \pi f_c Z_o}\) 
 
2. High Pass Filter(HPF)
  • Cutoff Frequency(\(f_c\)) 
          \(f_c = \frac{1}{2 \pi \sqrt{LC}}\)
  • Impedance(\(Z_o\))
         \(Z_o = \sqrt{L}{C}\)
  • Inductance(\(L\))
         \(L = \frac{Z_o}{2 \pi f_c}\) 
  • Capacitance(\(C\))
         \(C = \frac{1}{2 \pi f_c Z_o}\) 
 
3. T and Pi Configuration
  • T-Section LPF
          \(L_T = \frac{L}{2}\) ,   \(C_T = C\)
  • Pi-Section LPF
         \(L_{\pi} = L\) , \(C_{\pi} =\frac{C}{2}\)
  • T-Section HPF
         \(C_T =\frac{C}{2}\), \(L_T = L\)
  • Pi-Section HPF
         \(C_{\pi} = C\), \(L_{\pi} = \frac{L}{2}\)
 
 

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