In an experiment of measuring the earth's local magnetic field strength using helmholtz coils, with the equipment used are a magnometer, a variable power supply and 2 helmholtz coils.

suppose in setting up the equipment one of the wires to connect the coils was run directly (1 cm) below the compass perpendicular to the magnetic field of the earth. how would this impact the results?

Materials will have different energies associated with the electrons inside them. this is related to how strongly bound they are by their work function. if we sandwich a material with a very low energy between two materials with a high energy, we create a trap for an electron. if this trap is very narrow in one direction in comparison to the others, this is approximately a 1-dimensional box that confines the electron. what is the lowest energy of an electron in the box if the thinnest direction across the materials is 4.81 nm?