Question

Refer to the cascaded circuit below. First do dc and ac analyses to the get the mid-band voltage gain of the circuit if a signal generator input with 50 ohm internal series impedance is connected. Thereafter analyze the influence of the various capacitors in the circuit to determine for which frequencies this amplifier is useful, i.e. where the mid-band gain would be valid. Parasitic capacitances are as follows: C_wi = 4 pF; C_wo = 6 pF; C_gd = 8 pF; C_gs = 12 pF; C_ds = 3 pF;

Answer 1

nel= 3; a few parts

nnodes= 4; a few nodes

nDOF= 1; you a large number of degrees of freedom per node

sDOF= nnodes*nDOF; the whole range of degrees of freedom in our structure.

G= [80*10^9;40*10^9;20*10^9]; elasticity modulus

L= [0.5;08;0.3]; shortened of members

d= [0.08; 0.06; 0.04]; %diameters of members as outlined during a vector.

F= [3000; 2000; 800]; to strengthen vector collectiong all of the applied moments

K= zeros(sDOF); %preallocation of the world stiffness matrix

for iel= 1:nel

    elk= torsion1(G,L,d(iel));

    K(iel:iel+1, iel:iel+1)= cervid + K(iel:iel+1, iel:iel+1);

end %for

K_ff= K(2:end, 2:end); to use boundary condistions ( partition )

U_f= K_ff\F;

K_sf= K(1, 2:end);

P_s= K_sf*U_f;

perform [elk]= torsion1(G,L,d) a monotonous = shea modulus in pascals, L = length in meters and d = diameter in meters.

Ip= pi*d^4/32; the concerns polar intertia for shaft

K_T= G*Ip/L; the concerns stiffness

elk= K_T*[1 -1;-1 1]; the concerns nodal stiffness matrix

perform [U_f,T_s]= Shaft(N,G,L,d,T)

the concerns N = range of parts

penicillin = vector for shear modulus of every part

the concerns L = vector for length of every part

viosterol = vector for diameter of every part

to perfection = vector for outwardly applied moments