I think I might have been reading the question incorrectly (well hopefully). I feel like an idiot. I'll give it a go and hopefully it works out. Thanks LCKurtz
Homework Statement
Let C be a simple closed plane curve in space. Let n = ai+bj+ck be a unit vector normal to the plane of C and let the direction on C match that of n. Prove that
(1/2)∫[(bz-cy)dx+(cx-az)dy+(ay-bx)dz]
equals the plane area enclosed by C.
What does the integral reduce...
Homework Statement
In a volume V, enclosed by a surface S, the vector fields X and Y satisfy the coupled equations
∇×∇×X=X+Y
∇×∇×Y=Y−X
If the values of ∇×X and ∇×Y are given on S, show that X and Y are unique in V.
Homework Equations
∇.(A×B)=B.(∇×A)−A.(∇×B)...
Homework Statement
I'm doing a physics lab that involves an inverting amplifier. I'm pretty crap when it comes to electronics. I've discovered that the output voltage won't go past 8Vrms.
The amplifier is like the one here...
Homework Statement
Consider a mixed state comprising equal components of the first two energy levels in an infinite QW of width L. These have (normalised) wavefunctions ψ1 and ψ2. The wavefunction for the mixed state will be
ψ(x,t)=(1/√2)ψ1e^(iw1t)+(1/√2)ψ2e^(iω2t)
a) Calculate the...
Homework Statement
I have exams coming up and I'm just looking for an idea of when relativity should be taken into account. For example I'm just going over a question involving photoelectric effect and potential fields and de Broglie and all that jazz and the final velocity of the electron...
Homework Statement
I have exams coming up and I'm just looking for an idea of when relativity should be taken into account. For example I'm just going over a question involving photoelectric effect and potential fields and de Broglie and all that jazz and the final velocity of the electron...
Homework Statement
Question 8
A 2m long steel wire is mounted in an insulated bath of water containing 2000 litres of water.
(a) If the bath is a rectangle 2 m long and 1 m wide, what is the depth of the water
The wire vibrates with a fundamental frequency of the G above middle C (392 Hz)...
Homework Statement
(b) For a mass m1 in circular orbit with velocity v1, and a mass m2 orbiting with velocity
v2 (about a common center of mass), the following holds: m1/m2 = v2/v1. Use this
relation to derive an expression relating the mass and velocity of a star with the period
and mass...
Homework Statement
(2) A star orbits the centre of our Galaxy in a plane perpendicular to our line of sight.
If the angular speed of this star in the sky is 40 mas (milli-arc-seconds) per year,
calculate its velocity. Assume that the distance of the Galactic centre is 8 kpc.
(3) If the...