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Posted on Sep 16, 2024

TABLE 2 Normalized element values of Tchebyshev filter with 1dB fluctuation L2 C. L+ Cs L. n 1 RL 1.00 1.0177 3.7779 0.25 0.3001 2

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TABLE 2 Normalized element values of Tchebyshev filter with 1dB fluctuation L2 C. L+ Cs L. n 1 RL 1.00 1.0177 3.7779 0.25 0.3001 2 3 TABLE 1 Normalized element values for the Butterworth filter n C L C LA C: Ls 1 2.0000 2 1.4142 1.4142 3 1.0000 2.0000 1.0000 4 0.7654 1.8478 0.7654 S 0.6180 1.6180 2.0000 1.6180 0.6180 6 0.5176 1.4142 1.9319 1.9319 1.4142 0.5176 7 0.4450 1.2470 1.8019 2.0000 1.8019 1.2470 0.4450 1.00 2.0236 0.9941 2.0236 1.8478 4 0.25 4.5099 0.5428 5.3080 0.3406 5 1.00 0.25 2.1349 4.7366 1.0911 0.5716 3.0009 6.0240 1.0911 0.5716 2.1349 5.5353 6 0.3486 TABLE 3 Normalized element values of Tchebyshev filter with ripple in 3dB FILTER CONVERSION TABLE 71 L. CS Lo C 1.995 w! 1 R. 1.0 0.172 1.0 + 2 0.534 RRR KR 3 101 0.712 Sul 3 3.349 3.349 4 0.172 0.592 3.439 L 3 4.347 0.762 5 1.0 0.172 0.762 0.748 4.538 0.793 3.481 0.003 3.481 0.769 6 4.464 4.606 3.505 OR + ut k San 1-)Since RL =Ry=5092 and L 2 = 2mH Calculate the C1, C3 element values and the fk cut frequency. 2-) k=50, L=2x10-3=22/2fk Find the fk cut frequency using the equation. kl R E 1 BS AL How RB fk .......... C1=................ C3=............ 0 1 BRL BRL T. s? + k RC BC ke 3-)Turn this circuit into a high-pass filter. Calculate the new element values. L1=................. C2=................. L3=............... 4-) For 3DB ripple Chebyshev type low pass filter and L 2 = 1mH Re-do the calculations in question 1. (Use Table 1,2,3 values). fk = ................. C1 = ................. C3 = ................ 5-) Find the transfer functions of the third order Chebyshev and Butterworth filters. 6-)What are the phase characteristics of Chebyshev and Butterworth filters? Find and draw by researching. TABLE 2 Normalized element values of Tchebyshev filter with 1dB fluctuation L2 C. L+ Cs L. n 1 RL 1.00 1.0177 3.7779 0.25 0.3001 2 3 TABLE 1 Normalized element values for the Butterworth filter n C L C LA C: Ls 1 2.0000 2 1.4142 1.4142 3 1.0000 2.0000 1.0000 4 0.7654 1.8478 0.7654 S 0.6180 1.6180 2.0000 1.6180 0.6180 6 0.5176 1.4142 1.9319 1.9319 1.4142 0.5176 7 0.4450 1.2470 1.8019 2.0000 1.8019 1.2470 0.4450 1.00 2.0236 0.9941 2.0236 1.8478 4 0.25 4.5099 0.5428 5.3080 0.3406 5 1.00 0.25 2.1349 4.7366 1.0911 0.5716 3.0009 6.0240 1.0911 0.5716 2.1349 5.5353 6 0.3486 TABLE 3 Normalized element values of Tchebyshev filter with ripple in 3dB FILTER CONVERSION TABLE 71 L. CS Lo C 1.995 w! 1 R. 1.0 0.172 1.0 + 2 0.534 RRR KR 3 101 0.712 Sul 3 3.349 3.349 4 0.172 0.592 3.439 L 3 4.347 0.762 5 1.0 0.172 0.762 0.748 4.538 0.793 3.481 0.003 3.481 0.769 6 4.464 4.606 3.505 OR + ut k San 1-)Since RL =Ry=5092 and L 2 = 2mH Calculate the C1, C3 element values and the fk cut frequency. 2-) k=50, L=2x10-3=22/2fk Find the fk cut frequency using the equation. kl R E 1 BS AL How RB fk .......... C1=................ C3=............ 0 1 BRL BRL T. s? + k RC BC ke 3-)Turn this circuit into a high-pass filter. Calculate the new element values. L1=................. C2=................. L3=............... 4-) For 3DB ripple Chebyshev type low pass filter and L 2 = 1mH Re-do the calculations in question 1. (Use Table 1,2,3 values). fk = ................. C1 = ................. C3 = ................ 5-) Find the transfer functions of the third order Chebyshev and Butterworth filters. 6-)What are the phase characteristics of Chebyshev and Butterworth filters? Find and draw by researching