Can anybody help for solving equation containing complex numbers?

Question

Jaehyoung You 2016-12-27

回答： Sudarshan Kolar 2016-12-29

Hello everyone!

I want to solve the equation below,

where u is complex permeability; u=u'-ju''. e is complex permittiity; e=e'-je'', and ft/c is constant.

Here I want to find the value of u=u'-ju'' satisfying the above equation when the e=e'-je'' value is given.

As a novice I tried with code below, but it didn't work.

if true
  % code
endsyms e u;
e=10-4.6*1i;
ft=24;
c=299792458000;
F = sqrt((u)/e)*tanh((1i*2*pi*ft/c)*sqrt((u)*e))-1;

Can anyone help please?

Thank you for your reply in advance.

Answer 1

Sudarshan Kolar 2016-12-29

if true
  % code
end
>> syms u
>> e=10-4.6i;
>> ft=24;
>> c=299792458000;
>> F = sqrt((u)/e)*tanh((i*2*pi*ft/c)*sqrt(u*e)) == 1;
>> solve(F,u)

Hope this helps.

Documentation of solve(): https://www.mathworks.com/help/symbolic/solve.html