wow I have no idea how I got this far in uni making that mistake about what sin^2(x) was... thanks number nine :)
and sorry, that was my mistake for saying it was a natural number. n = {0,1,2...}
the integral is given and we have to show that I_0 > I_1 > I_2 > ... etc
sorry maybe I've got more than that confused in my head... I always understand sinn (x) to mean you use the function 'sine' 'n' times on x, rather than take sin(x) and multiply it by 'n'... am I wrong there? Surely not because sin(sin(pi/2)) >< {sin(pi/2)}^2
and yes n is a natural number but...
What would sin^0 (x) mean? sin^n (x) means using the sine function 'n' times on x, so what does it mean to use it zero times? does sin^0 (x) then equal 'x' or '0' or... ?
The context of this question is that I have to prove that:
I_n = integral from zero to pi/2 of sin^n (x) with respect to...
Hi there!
So I'm aware that the phonon contribution is proportional to T^3 and for electrons it is T (this is for metals where the first result comes from the Debye model). I was wondering where the electron contribution is derived from and why it is such a low dependence.
Hi there,
what's the integral over infinity of exp(-kx^2 )? the integral of exp(-x^2) is sqrt(pi)...
appreciate the help! I can't find the answer anywhere and can't work it out myself..
In a solenoid there is always a magnetic field in the core. As you increase current, the magnetic field increases causing a changing electric field in the core too. Why is there no energy stored in this created electric field?
I have a solenoid which has a current passing through it which increases linearly with time. I have proved that the energy stored in the magnetic field is equal to the energy being pumped in according to the surface integral of the poynting vector. This implies the energy stored in the electric...