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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-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_c1:1000;

C_c1:2*10^-6;

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:150;

I_load: 0.1;

Calculate

cabs-kill-load-plot2d
plot2d([20*log10(cabs(H1(%i*f))),20*log10(cabs(H2(%i*f))),20*log10(cabs(H3(%i*f))),20*log10(cabs(H4(%i*f)))], [f, 10, 20000], [logx]);

kill(all);

load("log10");

H1(s):= 1/((s/1000+1)...

Calculate

cabs-first-float-kill-load-plot2d-second-solve
plot2d(float(dB(cabs(H(2*%pi*%i*f)))),[f,10,20000],[logx,true]);

kill(all);

load("log10");

dB(x):= 20*log10(x);

Calculate

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

load("log10");

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

H(z):= 1/((z-0.9)*(z-...

Calculate

cabs-exp-load-plot2d
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz(exp(f_to_w(%i*f)/48000))),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-numer-pi-ratsimp

pi:3.1415926535897932...

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

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

Calculate

cabs-exp-load-plot2d
plot2d([sdomain(H(f_to_w(%i*f))),sdomain(Hz(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