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The Maxima on-line user's manual

Algebra Calculator

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Imagpart

Function: imagpart (<expr>) Returns the imaginary part of the expression <expr>.

fg:5.3*10^3;
C:10*10^-9;
R:1/(2*%pi*fg*C);
Gjw:1/(1+%i*w*R*C);
G:radcan(sqrt(realpart(Gjw)^2+imagpart(Gjw)^2));
define(G(w),G);
log10(x):=log(x)/log(10);
plot2d([[discrete,[[fg,20*log10(G(fg))]]],10*log10(G(w))],[w,10^2,10^5],[logx],[style,points,lines]);
plot2d([atan(G(w))],[w,0,2*%pi],[style,lines]);
plot2d([atan(G(w))*180/%pi],[w,0,2*%pi],[style,lines]);

imagpart is a computational function, not a simplifying function.

See also abs, carg, polarform, rectform, and realpart.

(%o1)                                true
(%i2) 

Related Examples

imagpart-realpart

1+3*%i;

realpart(%);

imagpart(%);

Calculate

imagpart-plot3d-realpart
 plot3d(realpart(f(z)),    [x, -2, 2], [y, -2, 2]);

z:x+%i*y;

f(z) := z;

plot3d(realpart(f(z)...

Calculate

imagpart-ratsimp

G1:R1+%i*omega*L1;

G2:R2+%i*omega*L2;

G:1/(1/G1+1/G2);

Calculate

imagpart-polarform-realpart

z: 2 + 4*%i;

b:z^2;

realpart(b);

Calculate

imagpart-realpart

parallel(a,b):=a*b/(a...

serie(a,b):=a+b;

ZC(omega,C1):=1/(%i*o...

Calculate

imagpart-kill-plot2d
plot2d (imagpart(Z_back) , [w, 6000, 80000]);

kill(all);

C1: 1400*10^-6;

C2: 1000*10^-6;

Calculate

imagpart-realpart

z: 3234 + 30403*%i;

z^2;

realpart(z);

Calculate

imagpart-plot2d-realpart
plot2d([[discrete, p1], [discrete,p2], [discrete,p3], x], [x,-1,5],[style, points, points, points, lines],  [legend, "2 and g(2)", "-i and g(-i)" ,"3-i and g(3-i)", "x=y"],[xlabel, "Re(z)"], [ylabel, "Im(z)"]);

g(z) := ((1+%i))/2*(r...

p1: [[4,3],[realpart(...

p2: [[2,2],[realpart(...

Calculate

imagpart-realpart

z: 2 + 4*%i;

b:z^2;

realpart(b);

Calculate

imagpart-realpart-sqrt

x:%i/sqrt(3);

imagpart(x);

realpart(x);

Calculate