RC LPF sinusoidal input| Dept of ECE| ANITS|ANIL PRASAD
- 1. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ECE 216 Electronic circuits and Analysis-I ➢Academic year : 2020-21 ➢Class & Section : 2/4 ECE-C ➢Name of the Faculty : Mr.D.Anil Prasad ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 2. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering Linear Wave shaping circuits Lecture #1 Frequency Response of RC Low-pass Circuit for Sinusoidal Input ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 3. Contents 1. Introduction 2. Frequency Response of RC Low-pass Circuit for Sinusoidal Input 3. Magnitude and phase response 4. Output voltage Equation 5. Summary ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 4. Introduction ➢ Altering the shape of the non-sinusoidal signal by transmitting it through a linear network is called Linear Wave shaping. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 5. Introduction Outcome: Analyze the response of linear wave shaping circuits for the given non sinusoidal input signals such as step, pulse, square wave and ramp. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 6. Introduction ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering R C + - Vi(t) + - V0(t) C R + - Vi(t) + - V0(t) RC Low Pass Filter RC High Pass FilterANIL PRASAD DADI/DEPT OF ECE/ANITS
- 7. Introduction ANIL PRASAD DADI/DEPT OF ECE/ANITS ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering Vi(t) v0(t) R C + - + - Vi(t) v0(t)R C + - + - RC Low Pass Filter RC High Pass Filter
- 8. Know about the capacitor ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering 10V VC1 R=1KΩ 0.1μF + - + RC Low Pass Filter - 10V VC3 R=1KΩ 10μF + - + RC Low Pass Filter - 10V VC2 R=1KΩ 1μF + - + RC Low Pass Filter - Circuit 1 Circuit 3Circuit 2 VC1=? VC2=? VC3=?10V 10V10V ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 9. Know about capacitor ➢Capacitor starts charging when current enters into it. ➢It takes 5τ seconds to completely charge ➢It takes 5τ seconds to completely discharge ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 10. Know about the capacitor ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering 10V VC1 R=1KΩ 0.1μF + - + RC Low Pass Filter - 10V VC3 R=1KΩ 10μF + - + RC Low Pass Filter - 10V VC2 R=1KΩ 1μF + - + RC Low Pass Filter - Circuit 1 Circuit 3Circuit 2 VC1=10V VC2=10V VC3=10V Ʈ=0.1ms Ʈ=1ms Ʈ=10ms ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 11. Know about the capacitor ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering 1V VC1 R=1KΩ 1μF + - + RC Low Pass Filter - 100V VC3 R=1KΩ 1μF + - + RC Low Pass Filter - 10V VC2 R=1KΩ 1μF + - + RC Low Pass Filter - Circuit 1 Circuit 3Circuit 2 VC1=? VC2=? VC3=? Ʈ=1ms Ʈ=1ms Ʈ=1ms 1V 100V10V ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 12. Why LPF & HPF ANIL PRASAD DADI/DEPT OF ECE/ANITS ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering Vi(t) v0(t) R C + - + - Vi(t) v0(t)R C + - + - RC Low Pass Filter RC High Pass Filter Xc= 1 ω𝑐 = 1 2π𝑓𝑐 C 0 f
- 13. Frequency response of RC LPF circuit for sinusoidal input ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering Vi(t)=R i(t) +XC i(t) Vi(t) v0(t) R C + - + - ➢At very large frequencies, XC=0 and Capacitor becomes Short circuit i(t) i(t)= 𝑉𝑖 (𝑡) 𝑅 Vo(t)=XC i(t)=0 ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 14. Frequency response of RC LPF circuit for sinusoidal input ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering H(s)= 𝑉0 (𝑠) 𝑉𝑖 (𝑠) Vi(t) v0(t) R C + - + - i(t) V0(t)=Vi(t) 𝑋 𝐶 𝑅+𝑋𝐶 V0(s)=Vi(s) 𝑋 𝐶 𝑅+𝑋𝐶 H(s)= 𝑋 𝐶 𝑅+𝑋𝐶 H(s)= 1 1+𝑆𝐶𝑅 H(f)= 1 1+𝑗2π𝑓𝐶𝑅 ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 15. Frequency response of RC LPF circuit for sinusoidal input ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ∠H(f)=∠θ= −𝑡𝑎𝑛−1 𝑓 𝑓 𝐻 Vi(t) v0(t) R C + - + - i(t) H(f)= 1 1+𝑗2π𝑓𝐶𝑅 H(f)= 1 1+𝑗 𝑓 𝑓 𝐻 fH= 1 2π𝑅𝐶 |H(f)|= 𝐴 = 1 1+ 𝑓 𝑓 𝐻 2 𝐴 = 𝜋𝑟2 ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 16. Frequency |A| |θ| f=0 Hz 1 00 f<fH ≈1 00<θ<450 f=fH V0=0.707Vi 450 f>fH ≈0 450<θ<900 f=∞ 0 900 Frequency response of RC LPF circuit for sinusoidal input ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering Vi(t) v0(t) R C + - + - i(t) 𝐴 = 1 1 + 𝑓 𝑓 𝐻 2 𝐴 = 𝜋𝑟2 θ= −𝑡𝑎𝑛−1 𝑓 𝑓 𝐻 ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 17. Frequency |A| |θ| f=0 Hz 1 00 f<fH ≈1 00<θ<450 f=fH V0=0.707Vi 450 f>fH ≈0 450<θ<900 f=∞ 0 900 Frequency response of RC LPF circuit for sinusoidal input ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering 𝐴 = 1 1 + 𝑓 𝑓 𝐻 2 𝐴 = 𝜋𝑟2 θ= −𝑡𝑎𝑛−1 𝑓 𝑓 𝐻 fH f Av(max) 0 0.707Av(max) 0 -450 -900 f fH Magnitude Response Phase ResponseANIL PRASAD DADI/DEPT OF ECE/ANITS
- 18. Definition of Low Pass Filter ➢Low pass filter is a circuit which passes only low frequency signals and attenuates high frequency signals when passed through a network over certain cutoff frequency and it is determined by the RC time constant. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 19. Definition of High Pass Filter ➢A high pass filter is a filter which passes high-frequency signals and attenuates low-frequency signals when passed through a network over certain cutoff frequency and it is determined by the RC time constant. ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 20. Output Voltage Equation ➢Vf=Output voltage at t=∞ ➢Vi=output voltage at t=ti ➢ti= time at which input is applied ➢𝜏= time constant ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering V0(t)=Vf - (Vf-Vi)𝑒− (𝑡−𝑡𝑖) 𝜏 ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 21. Summary 1. RC Low Pass Filter 2. Frequency Response of RC Low-pass Circuit for Sinusoidal Input 3. Magnitude and phase response 4. Output voltage Equation ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ANIL PRASAD DADI/DEPT OF ECE/ANITS
- 22. Thank you For listening ANIL PRASAD DADI/DEPT OF ECE/ANITS ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering