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We calculate the net change in generalized entropy occurring when one carriesout the gedanken experiment in which a box initially containing energy $E$,entropy $S$ and charge $Q$ is lowered adiabatically toward aReissner-Nordstr\"{o}m black hole and then dropped in. This is an extension ofthe work of Unruh-Wald to a charged system (the contents of the box possesses acharge $Q$). Their previous analysis showed that the effects of accelerationradiation prevent violation of the generalized second law of thermodynamics. Inour more generic case, we show that the properties of the thermal atmosphereare equally important when charge is present. Indeed, we prove here that anequilibrium condition for the the thermal atmosphere and the physicalproperties of ordinary matter are sufficient to enforce the generalized secondlaw. Thus, no additional assumptions concerning entropy bounds on the contentsof the box need to be made in this process. The relation between our work andthe recent works of Bekenstein and Mayo, and Hod (entropy bound for a chargedsystem) are also discussed.Comment: 18pages, RevTex, no figure

Does the generalized second law require entropy bounds for a charged system?