From looking at the Heisenberg Principle again I find the relation as follows:
Energy uncertainty x Time uncertainty = Planks constant / 4 x pi
This is an equation describing that both the time and energy of a particle cannot be simultaneously accurately measured. The connection with my...
From what I recall we have covered parts of the Heisenberg uncertainty principle, to note the position-momentum relationship. I will have a look and see what I can find about the time-energy relationship. I presume it will be similar to the position-momentum relationship.
My question relates to calculating the decay lifetime of an unstable isotope. The information given is the average energy of the emitted gamma ray from the decay has an average energy of say 100kev and a line-width of 5 x 10^-6ev. From this information I need to work out the average lifetime for...
If a force is conservative then the work done by that force over a distance is stored as potential energy. It is also independant of the path taken whereas work done by a non-conservative force is dependant on the path. As the particle moves along the path of the x-axis the work done by the...
Yes, but I can't really see the application here, can you explain it a bit more please? To differentiate the expression for Potential Energy w.r.t distance (x). I think I know the mthod now;
d (P.E)/dx gives 2x - 8/x as the expression for force
Now the particle is at rest (equilibrium)...
The basic relationship is Force x Distance = Potential Energy. Is it then the case in this question that the particle is in equilibrium when that force is zero? So the expression for Potential energy divided by distance (x) gives an expression for that force?
I guess that there is no resultant force acting on the object. The problem now is therefore the relationship between the potential energy at distance (x) and the resultant force on the particle. How do i find that relationship?
My problem is a question stated as follows:
A particle of mass m moves along the positive x-axis with a potential energy given by
V(x) = C + x^2 + 4/(x^2)
where C is a positive constant.
Calculate the equilibrium position X0 of the particle.
Now, I so far have considered that...
Thanks for the help, however in my problem the area is sort of hard to work out. Let me just write the problem out:
A toroidal coil is formed with N evenly spaced turns of wire. Each turn has a rectangular cross section with height h and depth (b - a) where b is the outer radius of the toroid...
I would like to know what is the relationship between the Magnetic field strength and the flux in a toroidal coil of wire. I have an expression for the magnetic field strength at a distance r but need to know the flux through the coil.
Any help is welcome.
Thanks for all the help Galileo, I have had another look over complex numbers and I understand it all better now. My only remaining question is whether Euler's formula for exp(iy)=cosy + isiny is for y in radians or is in degree's? I think it is degrees, but I am not sure.
Thanks again
I have a difficult probelm to solve:
There is a dougnut shape (toroidal coil) with N turns of wire wrapped around it. Current I flows in the wire. THe cross section of the 'doughnut' is square with height h. I am meant to use ampere's law to prove that the magnetic field at a radius r from...
Thanks for the help, I think my problem is my understanding of complex numbers. How do you split the exp terms into real and imaginary parts? Can you help me with that?
I need to work out both cos and sine of (2-i). The answer needs to be in the form x+iy where both x and y are real.
So far I have got:
cos (x) = ( e^ix + e^-ix ) / 2 as a general formula which when I substitute in gives:
0.5e^(2i+1) + 0.5e^(-2i-1)
How do I get this into the correct...
Can someone just confirm the following:
Change in potential energy of a charge, for example caused by moving two negative charges together is equal to the work done:
Work done = Force x Distance
= -qE * ∆X (Where E is electric field strength)
= -qE∆X...