Plotting a an equation as function of radius .

I want to plot ,

utheta= -k*ln(ro/r)

where k=10 and ro=1000

for angle theta = pi/2 and theta = 3*pi/2 only where theta is measured from negative y axis.

How do I plot this. I am not getting , please help me.

Answer 1

[KSSV]

t = linspace(pi/2,3*pi/2) ; 
k = 10 ; r0 = 1000 ; 
r = r0*exp(t/k) ;   % on solving the give equation for r 
plot(t,r)

[AISHWARYA KASARLA]

utheta is a separate function of r . and theta is not varying . I need the plot only for theta equal to pi/2 and theta =3*pi/2.

[KSSV]

Do you have ranges of utheta and r? Have a look on ezplot. https://in.mathworks.com/help/matlab/ref/ezplot.html

[AISHWARYA KASARLA]

no range for theta. utheta is a function of r only.

[KSSV]

utheta and theta are same right?

[AISHWARYA KASARLA]

no utheta is a dispalcement in theta direction which is a function of r only.