0195136047.pdf

154 TIME-DEPENDENT CIRCUIT ANALYSIS K 2 = (^2) (− 3 + (^2) ) (− 3 + 1 )(− 3 ) =− 1 3 K 3 = 2 ( 0 + 2 ) ( 0 + 1 )( 0 + 3 ) 4 3 Th ...

3.4 FREQUENCY RESPONSE 155 the input signal changes, a graphical display of the frequency-response characteristics of networks i ...

156 TIME-DEPENDENT CIRCUIT ANALYSIS − + − + (a) Vin jωL jωC R V^1 out − + − + (b) Vin R Vout Figure 3.4.3Low-pass simple filter ...

3.4 FREQUENCY RESPONSE 157 (a) H(ω) 0 Passband Ideal Actual ω ω co (b) H(ω) 0 Passband Ideal Actual ω ω co (c) H(ω) 0 Passband I ...

158 TIME-DEPENDENT CIRCUIT ANALYSIS Since factors of 10 are linear increments on the logarithmic frequency scale, the plot of 20 ...

3.4 FREQUENCY RESPONSE 159 Solution H(s)= 100 ( 1 +s/ 50 ) ( 1 +s/ 10 )( 1 +s/ 500 ) or H(jω) ̄ = 100 ( 1 +jω/ 50 ) ( 1 +jω/ 10 ...

160 TIME-DEPENDENT CIRCUIT ANALYSIS H 2 (ω), dB 0 − 90 − 45 45 90 − 20 20 0 40 θ 2 (ω), deg Slope = −20 dB/decade or −6 dB/octav ...

3.4 FREQUENCY RESPONSE 161 H(ω), dB θ(ω), deg 0 90 0 180 80 40 0.1 1 10 100 ω /α^2 + β^2 Slope = 90 °/decade Slope = 40 dB/decad ...

162 TIME-DEPENDENT CIRCUIT ANALYSIS 0.707 1.0 −1.5 − 1 −0.5 0 0.5 Y Y 0 Z orZ 0 Bandwidth For series ()RLC For parallel ()GLC Ha ...

3.4 FREQUENCY RESPONSE 163 ω 0 = 1 √ LC ; Q= ω 0 L R ; Zm= L RC =RQ^2 The universal resonance curve and the conclusions obtained ...

164 TIME-DEPENDENT CIRCUIT ANALYSIS V 2 =z 21 I 1 +z 22 I 2 =zfI 1 +zoI 2 (3.4.14) where z 11 =zi= V 1 I 1 ∣ ∣∣ ∣ ∣ I 2 = 0 =ope ...

3.4 FREQUENCY RESPONSE 165 They-parameter equivalent circuit that satisfies these equations is shown in Figure E3.4.3(a). V 1 V ...

166 TIME-DEPENDENT CIRCUIT ANALYSIS Block Diagrams The mathematical relationships of control systems are usually represented byb ...

3.4 FREQUENCY RESPONSE 167 TABLE 3.4.1Some of the Block Diagram Reduction Manipulations Cascaded elements Addition or subtractio ...

168 TIME-DEPENDENT CIRCUIT ANALYSIS G 0 R C H (b) Σ + + + − GA = G 1 G 2 G 3 Σ Figure E3.4.4Continued G 0 C R (c) + +Σ GA 1 + GA ...

3.5 COMPUTER-AIDED CIRCUIT SIMULATION 169 which results are printed, plotted, or reported to PROBE, TMAX is the maximum time inc ...

170 TIME-DEPENDENT CIRCUIT ANALYSIS VS1010 L1210MHIC= 0, INITIAL CURRENT IS ZERO R23100 C301UFIC=0; INITIAL VOLTAGE IS ZERO * TR ...

3.5 COMPUTER-AIDED CIRCUIT SIMULATION 171 AC LIN 1 79.58 79.58 79.58 IS THE SOURCE FREQUENCY IN HZ GIVEN BY 500/(2π) PRINT ...

172 TIME-DEPENDENT CIRCUIT ANALYSIS requests frequency analysis with 20 points per decade, which is usually a suitable value, st ...

3.6 USE OF MATLAB IN COMPUTER-AIDED CIRCUIT SIMULATION 173 AC DEC 20 10 HZ 100KHZ ANALYSIS EXTENDS FROM TWO DECADES BELOW TO ...