Voltage Amplifier

.symbolic asymptotic laplace

\frac{V_{l o a d}}{V_{s o u r c e}} = \frac{1.0 (C_{s} R_{s} s + 1.0) (R_{1} + R_{2} + C_{c i} R_{1} R_{2} s + C_{f} R_{1} R_{2} s)}{R_{2} (C_{f} R_{1} s + 1.0) (C_{c i} R_{s} s + C_{s} R_{s} s + 1.0)}

.symbolic asymptotic matrix

(\begin{matrix} 0 \\ 0 \\ 0 \\ 0 \\ 0 \\ V_{s} \\ 0 \\ 0 \\ 0 \end{matrix}) = (\begin{matrix} 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\ 0 & \frac{1}{R_{1}} + \frac{1}{R_{2}} + C_{c i} s + C_{d i} s + C_{f} s & - C_{d i} s & - \frac{1}{R_{1}} - C_{f} s & 0 & 0 & 0 & 0 & 0 \\ 0 & - C_{d i} s & C_{c i} s + C_{d i} s & 0 & 0 & 0 & 0 & - 1 & 0 \\ 0 & - \frac{1}{R_{1}} - C_{f} s & 0 & \frac{1}{R_{1}} + C_{ℓ} s + C_{f} s & 0 & 0 & - 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ C_{o} R_{o} s + 1 & 0 & 0 & - C_{o} R_{o} s - 1 & 0 & 0 & - R_{o} & 0 & 0 \\ 0 & 0 & - C_{s} R_{s} s - 1 & 0 & C_{s} R_{s} s + 1 & 0 & 0 & - R_{s} & 0 \\ 0 & - 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \end{matrix}) (\begin{matrix} V_{a m p} \\ V_{i n n} \\ V_{i n p} \\ V_{l o a d} \\ V_{s o u r c e} \\ I_{V_{s o u r c e}} \\ I_{Z_{o u t}} \\ I_{Z_{s o u r c e}} \\ I_{N_{E_{A m p}}} \end{matrix})

.numeric gain laplace

\frac{V_{l o a d}}{V_{s o u r c e}} = \frac{(8.77 \cdot 1 0^{- 7}) s + (7.541 \cdot 1 0^{- 15}) s^{2} - (7.067 \cdot 1 0^{- 25}) s^{3} + (4.492 \cdot 1 0^{- 32}) s^{4} + (3.136 \cdot 1 0^{- 40}) s^{5} + (2.212 \cdot 1 0^{- 49}) s^{6} + 10.0}{(2.758 \cdot 1 0^{- 7}) s + (3.032 \cdot 1 0^{- 14}) s^{2} + (2.588 \cdot 1 0^{- 21}) s^{3} + (6.948 \cdot 1 0^{- 29}) s^{4} + (5.827 \cdot 1 0^{- 37}) s^{5} + (4.23 \cdot 1 0^{- 46}) s^{6} + 1.0}

.plot gain db .f 10 10M .step C_f lin 0 4p 5

Figure 1:

slicap-gain-db-_f-10-10M-_step-C_f-lin-0-4p-5.png

.plot gain phase .f 10 10M .step C_f lin 0 4p 5

Figure 2:

slicap-gain-phase-_f-10-10M-_step-C_f-lin-0-4p-5.png

.plot gain step .t 0 2u .step C_f lin 0 4p 5

Figure 3:

slicap-gain-step-_t-0-2u-_step-C_f-lin-0-4p-5.png

.numeric gain pz

The zero-frequency value of GAIN = 10.0 [-].

Poles of GAIN; units HZ.


Poles	Real part	Imaginary part	Magnitude	Q

$1$	$- 0.9115 \times 1 0^{6}$	$0$	$0.9115 \times 1 0^{6}$	$-$
$2$	$- 0.5214 \times 1 0^{6}$	$1.505 \times 1 0^{6}$	$1.593 \times 1 0^{6}$	$1.528$
$3$	$- 0.5214 \times 1 0^{6}$	$- 1.505 \times 1 0^{6}$	$1.593 \times 1 0^{6}$	$1.528$
$4$	$- 8.394 \times 1 0^{6}$	$0$	$8.394 \times 1 0^{6}$	$-$
$5$	$- 9.947 \times 1 0^{6}$	$0$	$9.947 \times 1 0^{6}$	$-$
$6$	$- 198.9 \times 1 0^{6}$	$0$	$198.9 \times 1 0^{6}$	$-$

Zeros of GAIN; units HZ.


Zeros	Real part	Imaginary part	Magnitude	Q

$1$	$- 2.04 \times 1 0^{6}$	$0$	$2.04 \times 1 0^{6}$	$-$
$2$	$- 15.92 \times 1 0^{6}$	$0$	$15.92 \times 1 0^{6}$	$-$
$3$	$23.71 \times 1 0^{6}$	$37.46 \times 1 0^{6}$	$44.33 \times 1 0^{6}$	$0.935$
$4$	$23.71 \times 1 0^{6}$	$- 37.46 \times 1 0^{6}$	$44.33 \times 1 0^{6}$	$0.935$
$5$	$- 58.58 \times 1 0^{6}$	$0$	$58.58 \times 1 0^{6}$	$-$
$6$	$- 196.6 \times 1 0^{6}$	$0$	$196.6 \times 1 0^{6}$	$-$

.plot gain pz .range -3M 1M -2M 2M .step C_f lin 0 4p 100

Figure 4:

slicap-gain-pz-_range–3M-1M–2M-2M-_step-C_f-lin-0-4p-100.png

.plot gain pz .range -3M 1M -2M 2M .step A_0 lin 1m 200k 100

Figure 5:

slicap-gain-pz-_range–3M-1M–2M-2M-_step-A_0-lin-1m-200k-100.png

.plot loopgain pz .range -3M 1M -2M 2M .step C_f lin 0 4p 100

Figure 6:

slicap-loopgain-pz-_range–3M-1M–2M-2M-_step-C_f-lin-0-4p-100.png

.plot asymptotic pz .range -3M 1M -2M 2M .step C_f lin 0 4p 100

Figure 7:

slicap-asymptotic-pz-_range–3M-1M–2M-2M-_step-C_f-lin-0-4p-100.png

.plot loopgain polar .f 0.5M 5M .step C_f lin 0 4p 5

Figure 8:

slicap-loopgain-polar-_f-0_5M-5M-_step-C_f-lin-0-4p-5.png

.plot loopgain dB .f 10 10M .step C_f lin 0 4p 5

Figure 9:

slicap-loopgain-dB-_f-10-10M-_step-C_f-lin-0-4p-5.png

.plot loopgain phase .f 10 10M .step C_f lin 0 4p 5

Figure 10:

slicap-loopgain-phase-_f-10-10M-_step-C_f-lin-0-4p-5.png

About

LATEX generated by SLiCAP (Symbolic Linear Circuit Analysis Program): a MuPAD application. SLiCAP �2008-2009, Montagne Design & Consultancy, Delft, The Netherlands. MuPAD Pro 4.0.6. ’The Open Computer Algebra System’ �1997-2008, is a product of SciFace Software. May 18, 2009, total SLiCAP version 3.1 processing time: 89.8 seconds (limit=600 seconds).