Recent content by creillyucla

The instantaneous power delivered to a component is given by I * V where the I is the current through the component, and V is the voltage across the component. Note that the current through the resistor and capacitor are the same, because of Kirchoff's current law: I(t) = \frac{dQ(t)}{dt} =...

Here is a method that doesn't involve manipulating the right hand side, which is more I think of what we're looking for: Artificially create a factor (x - y) and add canceling terms at the end: x^3 - y^3 = (x - y)( x^2 ) + ( x - y )( y^2 ) + x^2 * y - y^2 * x With the final two terms...

yup!

Note that b_{n} = <\varphi_{n}|\Psi(x)> Can be a complex number. Does a complex probably mean anything? Hint hint...

It seems like your set up is correct. What is the expression you get for \frac{| Z_1 |}{| Z_2 |} ? Though it doesn't seem like you need the info I wrote up below, it might be worth checking out: Your expression for the magnitude of the impedance of the circuit is correct, but is more...

One important point you're missing is that \psi can be any linear combination of the energy eigenfunctions \phi_n. Try the problem armed with the knowledge that: \Psi(x,t) = \Sigma_n \phi_n(x,t) I would be glad to answer any further questions, but this seemed to be the major stumbling block.

The easy equations to use here are p = h / lambda and E^2 = ( p * c )^2 + ( m c^2 )^2 you're pretty much done at that point