In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

One analogue to this rule is named for Hopkinson and has constant of proportionality the reluctance; this rule and Hopkinsons law may be combined for a circulating magnetic field in a plasma to analyze a namesake form of heating. A generalization of this equation states that the current density equals the sum over n from 1 to infinity of the nth conductivity tensor acting on the nth direct product of the electric field; truncating to first order gives the microscopic form of this law, j equals sigma E, which may be averaged to give the more familiar lumped circuit form. For 10 points, name this physical law that says that the voltage drop is the current times the resistance, or V equals I R; a law named for a German high school teacher.
Science

One ruler of this dynasty avoided a prophecy of his death by abdicating in favor of the puppet Yusufi for four days during his persecution of Nuqtavis. This dynasty was defeated at Gulnabad by the Ghilzai leader Mahmud. Its founder was victorious at Merv over the Uzbeks and had earlier overthrown the White Sheep dynasty. This dynasty was eventually supplanted by Karim Khan and the Zand dynasty, and its final rulers were puppets of Nadir Shah. Tahmasp I was a ruler of this dynasty, which was defeated at Chaldiran by Selim the Grim. Under Abbas I, this dynasty established a capital at Isfahan, and it was founded with the help of the Qizilbash by Ismail I. For 10 points, name this Shi'ite dynasty that ruled Persia from 1501 to 1736.
History

This equation's accuracy can be improved if used in conjunction with Lorentz-Hudson-McCoubrey combining rules for modeling interactions between unlike molecules. The trace of fluid-solid coexistence curves can be performed by utilizing Kofke's method for this equation's associated integration. This relation can serve as a test for consistency for the Hubbard approximation if the external magnetic field and chemical potential are chosen as its two intensive parameters. The Lewis-Randall rule relates this equation to Henry's Law, and the Clausius-Claperyon equation can be derived from this relation assuming the two phases are in equilibrium. For 10 points, name this doubly eponymous equation that determines the relationship between changes in chemical potential for components in a system, named after a French energeticist and a Yale physicist.

Science