The voltage across an inductance l is given by v(t)=vmcos(ωt). the current is zero at t = 0. suppose that ω is very large ideally, approaching infinity. part a for this voltage, does the inductance approximate either an open or a short circuit? for this voltage, does the inductance approximate either an open or a short circuit? i(t)=1l∫t0v(t)dt+i(0)=1l∫t0vmcos(ωt )dt=vmωlsin(ωt). for ω→[infinity], the current becomes zero, so the inductance becomes the equivalent of an open circuit. i(t)=1l∫t0v(t)dt+i(0)=1l∫t0vmcos(ωt )dt=ωvmlsin(ωt). for ω→[infinity], the current becomes infinite, so the inductance becomes the equivalent of a short circuit.

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

An architect plans to use solar energy to heat the next house he designs. what principle of absorption and infrared energy can be applied to the design of the new house? how could she apply to those principals?

Iron is a transition metal with multiple oxidation numbers. (answer the following) a. what is the iron (ii) ion? how does it differ from the iron (iii) ion? b. if iron were to bond with oxygen, predict the formula for each oxidation number of iron. c. how would each formula be named?