I was wondering how you prove that ∫(e^iax)(e^ibx)dx from minus infinity to infinity is zero. When I try to evaluate this in the usual way, the result is undefined.
Thanks in advance for your help!
Homework Statement
See attached.
Homework Equations
The Attempt at a Solution
I integrated the equation with respect to x to obtain
∫\frac{d}{dx}(xe^{-x}\frac{df}{dx})dx+∫ne^{-x}fdx= constant
The first term on the left hand side goes to zero as x, df/dx are bounded at 0...
Hi.
For a Bose gas, my textbook states that below the critical temperature, which is given by n(λth)3/(2S+1)=2.612, the fugacity z=eβμ≈1.
Why is this? The most basic explanation possible would be ideal, as I only need the rough idea.
Thanks! :smile:
Hi. I'm trying to use the method above but I'm having some problems.
dT=rcosθdF, and T=4∫dT between 0 and π/2. But I don't know how to write dF as a function of dθ.
How do I use the expression dF=I dl x B to find dF?
Thanks so much!
Homework Statement
A circular coil of radius r carries a current I. A magnetic induction B acts at right angles to a diameter of the coil. Show that the current experiences a torque T about the diameter given by T=Iπr^{2}Bsinω, where ω is the angle between the normal to the plane of the coil...