When you take the complex conjugate of a complex number expressed in polar form, only the sign of the angle changes, while the amplitude remains unchanged.
Let's consider a complex number in polar form:
z = r * exp(iθ)
Here, r represents the magnitude or amplitude of the complex number, and θ represents the angle or argument of the complex number.
The complex conjugate of z, denoted as z*, is obtained by changing the sign of the angle:
z* = r * exp(-iθ)
As you can see, the amplitude (magnitude) of the complex number, represented by r, remains the same. However, the angle θ changes its sign from positive to negative, or vice versa.
In other words, taking the complex conjugate negates the angle while leaving the amplitude unchanged.