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The Maxima on-line user's manual

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Cabs

Function: cabs (<expr>) Returns the complex absolute value (the complex modulus) of <expr>.

m1:4;
m2:0;
c1:0.1;
c2:0;
k1:100;
k2:10;
f1:%i;
f2:0;
M:matrix([m1,0],[0,m2]);
C:matrix([c1+c2,-c2],[-c2,c2]);
K:matrix([k1+k2,-k2],[-k2,k2]);
F:matrix([f1],[f2]);
A:-wf^2*M + %i*wf*C + K;
invA:invert(A);
X:invA.F;
x1:cabs(X[1,1]);
p1:carg(x1);
plot2d(x1,[wf,1,10],[y,0,0.5]);

(%o1)                                true
(%i2) 

Related Examples

cabs-ev-log-plot2d
plot2d(20*log(cabs(F(%i*2*%pi*10^x)))/log(10),[x,1,7]);

R1: 0.5;

L1: 500e-12;

C1: 4.7e-6;

Calculate

cabs-linsolve

eq1: C*e^(-K*L) + D*e...

eq2: -K*C*e^(-K*L) + ...

[eqD, eqC]: linsolve(...

Calculate

cabs-exp-load-plot2d
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz2(exp(f_to_w(%i*f)/48000)))], [f,10,24000], [logx, true]);

load("log10");

f_to_w(f):= 2*%pi*f;

sdomain(s):= 20*log10...

Calculate

cabs-carg-ev-load-log-numer-plot2d
plot2d(20 * log(cabs(T( %i * 2 * %pi * 10^x))) / log(10), [x,1,6]);

V_in:24;

V_out:140;

I_load: 0.1;

Calculate

cabs-carg-ev-load-log-numer-plot2d
plot2d(20 * log(cabs(T( %i * 2 * %pi * 10^x))) / log(10), [x,1,6]);

V_in:24;

R_c1:330;

C_c1:7*10^-6;

Calculate

cabs-solve

Fr: (10 / (%i*w*(%i*w...

w: solve(cabs(Fr)=1,w);

Calculate

cabs-exp-load-plot2d
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz(exp((%pi*%i*f)/48000)))], [f,10,24000], [logx, true]);

load("log10");

H(s):= 1/(s/f_to_w(10...

H(z):= 0.1*z^-1 + 0.5...

Calculate

cabs-load-plot2d
plot2d(20*log10(cabs(H(%i*f))), [f, 10, 20000], [logx]);

H(s):= 1/((s/1000+1)^2);

load("log10");

plot2d(20*log10(cabs(...

Calculate

cabs-numer-solve-true

numer:true;

eq1: 10 = cabs(%i*w*(...

solve(eq1,w);

Calculate

cabs-carg-pi-ratsimp

pi:3.1415926535897;

Z12:1000*%e^(%i*(9.81...

Z23:500*%e^(%i*(88*pi...

Calculate