we have mostly been working with phasors, which is those tools i am using.
I know that the following.
v(t)=Re{Vejωt}=VAcos(ωt+Φ)
and
V=VAejΦ=VA∠Φ
somehow I can't seem to get further then this.
I am considering to use the transfer function, and use that to solve for X
Homework Statement
Find X [/B]
Homework Equations
V1(t)=8cos(12000t)
V0(t)=Xcos(12000t+θ)
The Attempt at a Solution
[/B]
I've tried quiet a lot actually, but all in vain. Seems like I am either misunderstanding something, or i am just too tired to think at the moment. Either way, I am...
yeah sorry!
Actually that is what confuses me. if ##\sink\pi=0## then there is only ##\frac{cos(x)sin(kx)}{k}## left? Does that mean that this is my ##a_k##??
I need it for a Fourier series where the inteval is from [0, ##\pi## ]. f(x)=cos(x) so it is an even function which means i need to calculate ##a_0## and ##a_k##.
It is ##a_k## who i am trying to calculate right now by parts, but i am stuck at it.
Homework Statement
Hello!
I am having some trouble solving this integral by parts. I hope someone can help me.
##\int \cos(x)cos(kx) dx##
It is need for a Fourier seriesHomework Equations
I am using this definition:
##\int f(x)g(x) dx = f(x)G(x)-\int f'(x)G(x) dx##
since its an even...
I came to this result after integrating by parts several times. I hope anyone can confirm this.
##\left ( \frac{12}{\left ( \pi n\right )^{3}}-\frac{2}{\pi n} \right ) \left ( -1 \right )^{n}##
I don't think i need to evaluate the integrals, I just want to know exactly how it works. Trying to understand the mechanics in how to solve such a problem.
I understand what you are saying, but isn't what I'm already trying to do? By finding an expression for ##b_n##
or ##c_n## in your definition. The only difference i guess, is that it is ## \pi## and not ##2 \pi##??