Work in 1-dimension for simplicity. let ф(2', t) %3dt(2", 2)ф(т, t), where t(',x) is called the "space translation operator from x to x". so that r' = x + dx. explain why the following form makes (a) consider an infinitesimal space translation, sense for the corresponding "infinitesimal space translation operator": idx t(xdr, x) 1 + ô+ (dx2) (b) hence show that o is the momentum operator. (c) explain why the full space translation operator is thus given by and comment on the relationship of this expression to the usual taylor series expansion of /(x',t) around the point r

What should the power status of a circuit be when measuring resistance with an ohmmeter?

Search coils and credit cards. one practical way to measure magnetic field strength uses a small, closely wound coil called a search coil. the coil is initially held with its plane perpendicular to a magnetic field. the coil is then either quickly rotated a quarter-turn about a diameter or quickly pulled out of the field. (a) derive the equation relating the total charge q that flows through a search coil to the magnetic-field magnitude b. the search coil has n turns, each with area a, and the flux through the coil is decreased from its initial maximum value to zero in a time ∆t. the resistance of the coil is r, and the total charge is q = i∆t, where i is the average current induced by the change in flux. (b) in a credit card reader, the magnetic strip on the back of a credit card is rapidly “swiped” past a coil within the reader. explain, using the same ideas that underlie the operation of a search coil, how the reader can decode the information stored in the pattern of magnetization on the strip. (c) is it necessary that the credit card be “swiped” through the reader at exactly the right speed? why or why not?

What happens when you slowly pulled the carboard?